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Factoring and Multiples

This category should include questions about greatest common factors and lowest common multiples.

63,380 Questions

How do you factor 1000000000 in multiples of 10?

Well, honey, factoring 1000000000 in multiples of 10 is like a walk in the park. You simply break it down by moving the decimal point 9 places to the left, giving you 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10. Voilà, you've got yourself 10^9, which equals 1000000000. Easy peasy lemon squeezy!

What is the highest common factor of 57 and 87?

Well, isn't that a happy little question! The highest common factor of 57 and 87 is 3. You see, we just need to find the largest number that can evenly divide both 57 and 87, and that number is 3. Just like painting a beautiful landscape, math can be a peaceful and rewarding experience too.

What are the common multiples of 6 and 7?

The lowest common multiple of the two numbers is 42. All multiples of 42 are common multiples of 6 and 7. So the common multiples of 6 and 7 are 42, 84, 126, 168, 210, 252, 294, 336, and so on.

What is the greatest common factor of 168 and 224?

Oh, dude, the greatest common factor of 168 and 224 is 56. It's like the number that both of them can be divided by without leaving a remainder. So, if you're throwing a party for 168 and 224, make sure to invite their cool friend, 56, because they're all divisible by it.

What are the multiples of 4 up to 500?

Oh, dude, multiples of 4 up to 500? That's like, easy peasy. So, you just start at 4, then add 4, then add 4, and keep going until you hit 500. It's like a never-ending party of numbers: 4, 8, 12, 16, and so on until you reach 500. Enjoy the multiples ride!

What is the greatest common factor of 6 and 21?

The greatest common factor (GCF) of two numbers is the largest number that divides both of them without leaving a remainder. To find the GCF of 6 and 21, you can list the factors of each number and identify the largest factor they have in common. The factors of 6 are 1, 2, 3, and 6, while the factors of 21 are 1, 3, 7, and 21. The greatest common factor of 6 and 21 is 3.

What is 5.65 as a fraction?

Well, isn't that a happy little question! Let's turn 5.65 into a fraction. We can write it as 565/100 because 5.65 is the same as 565 hundredths. Remember, there are many ways to express numbers, just like there are many ways to paint a beautiful landscape.

Is 928 divisible by two?

Yes, 928 is divisible by two because it is an even number. A number is divisible by two if it can be divided evenly by 2 without leaving a remainder. In this case, 928 divided by 2 equals 464, which is a whole number without any remainder, confirming that 928 is indeed divisible by two.

What is the least positive 4 digit multiple of 7?

To find the least positive 4-digit multiple of 7, we need to divide 1000 by 7 to get the closest whole number, which is 142.857. We then multiply this whole number by 7 to get 994, which is the largest 3-digit multiple of 7. Therefore, the least positive 4-digit multiple of 7 is 1001.

How many times can 1 go into 0?

as many times as it wants

well actually it depends if u mean the joke or the math problem if it's math then yes it's 0 but if it's the joke yes it is as many times as it wants

What is hcf of 37 and 17?

1 is the highest common factor of 37 and 17.

What is the least common multiple of 12 10 and 11?

lcm(10, 11, 12) = 660

10 = 2 x 5

11 = 11

12 = 2² x 3

lcm = 2² x 3 x 5 x 11 = 660

This can be found by inspecting the multiples of 10, 11 and 12, but in this case it is a very tedious way:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 510, 520, 530, 540, 550, 560, 570, 580, 590, 600, 610, 620, 630, 640, 650, 660, ...

Multiples of 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 220, 231, 242, 253, 264, 275, 286, 297, 308, 319, 330, 341, 352, 363, 374, 385, 396, 407, 418, 429, 440, 451, 462, 473, 484, 495, 506, 517, 528, 539, 550, 561, 572, 583, 594, 605, 616, 627, 638, 649, 660, ...

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300, 312, 324, 336, 348, 360, 372, 384, 396, 408, 420, 432, 444, 456, 468, 480, 492, 504, 516, 528, 540, 552, 564, 576, 588, 600, 612, 624, 636, 648, 660, ...

The first multiple common to 10, 11 and 12 is 660 (10 × 66, 11 × 60, 12 × 55).

What is the greatest common factor in 21ab and 14b?

Well, honey, the greatest common factor in 21ab and 14b is 7b. You see, 21 can be broken down into 3 x 7, and 14 can be broken down into 2 x 7. And since they both have a b in common, that's your greatest common factor right there. Math made sassy!

What are the factors and prime factors of 39916800?

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 27, 28, 30, 32, 33, 35, 36, 40, 42, 44, 45, 48, 50, 54, 55, 56, 60, 63, 64, 66, 70, 72, 75, 77, 80, 81, 84, 88, 90, 96, 99, 100, 105, 108, 110, 112, 120, 126, 128, 132, 135, 140, 144, 150, 154, 160, 162, 165, 168, 175, 176, 180, 189, 192, 198, 200, 210, 216, 220, 224, 225, 231, 240, 252, 256, 264, 270, 275, 280, 288, 297, 300, 308, 315, 320, 324, 330, 336, 350, 352, 360, 378, 384, 385, 396, 400, 405, 420, 432, 440, 448, 450, 462, 480, 495, 504, 525, 528, 540, 550, 560, 567, 576, 594, 600, 616, 630, 640, 648, 660, 672, 675, 693, 700, 704, 720, 756, 768, 770, 792, 800, 810, 825, 840, 864, 880, 891, 896, 900, 924, 945, 960, 990, 1008, 1050, 1056, 1080, 1100, 1120, 1134, 1152, 1155, 1188, 1200, 1232, 1260, 1280, 1296, 1320, 1344, 1350, 1386, 1400, 1408, 1440, 1485, 1512, 1540, 1575, 1584, 1600, 1620, 1650, 1680, 1728, 1760, 1782, 1792, 1800, 1848, 1890, 1920, 1925, 1980, 2016, 2025, 2079, 2100, 2112, 2160, 2200, 2240, 2268, 2304, 2310, 2376, 2400, 2464, 2475, 2520, 2592, 2640, 2688, 2700, 2772, 2800, 2816, 2835, 2880, 2970, 3024, 3080, 3150, 3168, 3200, 3240, 3300, 3360, 3456, 3465, 3520, 3564, 3600, 3696, 3780, 3840, 3850, 3960, 4032, 4050, 4158, 4200, 4224, 4320, 4400, 4455, 4480, 4536, 4620, 4725, 4752, 4800, 4928, 4950, 5040, 5184, 5280, 5376, 5400, 5544, 5600, 5670, 5760, 5775, 5940, 6048, 6160, 6237, 6300, 6336, 6400, 6480, 6600, 6720, 6912, 6930, 7040, 7128, 7200, 7392, 7425, 7560, 7700, 7920, 8064, 8100, 8316, 8400, 8448, 8640, 8800, 8910, 8960, 9072, 9240, 9450, 9504, 9600, 9856, 9900, 10080, 10368, 10395, 10560, 10800, 11088, 11200, 11340, 11520, 11550, 11880, 12096, 12320, 12474, 12600, 12672, 12960, 13200, 13440, 13860, 14080, 14175, 14256, 14400, 14784, 14850, 15120, 15400, 15840, 16128, 16200, 16632, 16800, 17280, 17325, 17600, 17820, 18144, 18480, 18900, 19008, 19200, 19712, 19800, 20160, 20736, 20790, 21120, 21600, 22176, 22275, 22400, 22680, 23100, 23760, 24192, 24640, 24948, 25200, 25344, 25920, 26400, 26880, 27720, 28350, 28512, 28800, 29568, 29700, 30240, 30800, 31185, 31680, 32400, 33264, 33600, 34560, 34650, 35200, 35640, 36288, 36960, 37800, 38016, 39600, 40320, 41580, 42240, 43200, 44352, 44550, 44800, 45360, 46200, 47520, 48384, 49280, 49896, 50400, 51840, 51975, 52800, 55440, 56700, 57024, 57600, 59136, 59400, 60480, 61600, 62370, 63360, 64800, 66528, 67200, 69300, 70400, 71280, 72576, 73920, 75600, 76032, 79200, 80640, 83160, 86400, 88704, 89100, 90720, 92400, 95040, 98560, 99792, 100800, 103680, 103950, 105600, 110880, 113400, 114048, 118800, 120960, 123200, 124740, 126720, 129600, 133056, 134400, 138600, 142560, 145152, 147840, 151200, 155925, 158400, 166320, 172800, 177408, 178200, 181440, 184800, 190080, 199584, 201600, 207900, 211200, 221760, 226800, 228096, 237600, 241920, 246400, 249480, 259200, 266112, 277200, 285120, 295680, 302400, 311850, 316800, 332640, 356400, 362880, 369600, 380160, 399168, 403200, 415800, 443520, 453600, 475200, 492800, 498960, 518400, 532224, 554400, 570240, 604800, 623700, 633600, 665280, 712800, 725760, 739200, 798336, 831600, 887040, 907200, 950400, 997920, 1108800, 1140480, 1209600, 1247400, 1330560, 1425600, 1478400, 1596672, 1663200, 1814400, 1900800, 1995840, 2217600, 2494800, 2661120, 2851200, 3326400, 3628800, 3991680, 4435200, 4989600, 5702400, 6652800, 7983360, 9979200, 13305600, 19958400, 39916800

2, 3, 5, 7 and 11 are prime.

What is the greatest common factor of 24a and 6a?

Oh, dude, you're hitting me with some math vibes. So, the greatest common factor of 24a and 6a is 6a. Why? Because you can divide both terms by 6a and get a whole number result. It's like finding the common ground between two numbers - in this case, it's just 6a. Cool, right?

What can you divide by 35?

Well, honey, you can divide any number that is a multiple of 35 by 35. So, if you've got 70, 105, or even 140, you can chop those babies up into nice little 35-sized pieces. Just make sure you don't try to divide by zero - that's a big no-no in the math world.

What equals 176?

So lets do 97+___=176 so do 176-97=79 you got your answer 97+79=176.

Is 8 a factor of 4788?

Well, honey, let me break it down for you. A number is a factor of another number if it divides into it evenly, no remainder drama. So, if you do the math, you'll see that 8 is not a factor of 4788 because 4788 divided by 8 gives you a decimal, and we don't do decimals in the world of factors.

List all the factors of 17 from least to greatest?

The factors of 17 are 1 and 17. In mathematics, factors are whole numbers that can be multiplied together to get the original number. Since 17 is a prime number, it only has two factors, 1 and 17.

Classification of polynomial according to the number of terms?

Strictly we do not classify polynomials by the number of terms but by the highest power of the variable (its degree).

For example, if x is the variable then a polynomial with highest power...

... x0 (degree 0) is a constant e.g. 4x0 = 4

... x1 (degree 1) is linear e.g. 2x1 + 5 = 2x + 5

... x2 (degree 2) is a quadratic e.g. 3x2 - 2x + 1

... x3 (degree 3) is a cubic e.g. 2x3 - 3x2 - 2x + 1

... x4 (degree 4) is a quartic e.g. 7x4 + 2x3 - 3x2 - 2x + 1

(degree 5) quintic, (degree 6) sextic, (degree 7) septic, (degree 8) octic,...

Although it appears as if the degree of a polynomial is always one less than the number of terms, in general this not the case. For example, x3 - 9 is cubic with only 2 terms or 4x8 is an octic with only one term.

Is 9 a factor of 4788?

To determine if 9 is a factor of 4788, we need to check if 4788 is divisible by 9 without any remainder. We can do this by adding the digits of 4788 together: 4+7+8+8 = 27. Since 27 is divisible by 9, we can conclude that 4788 is also divisible by 9. Therefore, 9 is a factor of 4788.

What are the factors and prime factors of 49?

49 is a composite number because it has factors other than 1 and itself. It is not a prime number.

The 3 factors of 49 are 1, 7, and 49. It is square number, 72, so it has an odd number of factors.

The factor pairs of 49 are 1 x 49 and 7 x 7.

The proper factors of 49 are 1 and 7 or,

if the definition you are using excludes 1, the only one is 7.

The prime factors of 49 are 7 and 7.

Note: There is repetition of these factors, so if the prime factors are being listed instead of the prime factorization, usually only the distinct prime factors are listed.

The only distinct prime factor (listing each prime factor only once) of 49 is 7.

The prime factorization of 49 is 7 x 7 or, in exponential form, 72.

NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common. A factor tree:

49

7, 7

So, the prime factorization is 7 x 7.

What is the greatest common factor for 98?

The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.

The greatest common factor of 90 and 98 is 2

Is the number of factor pairs for a number equal to the number arrays for the same number?

Oh, what a lovely question! When we talk about factor pairs for a number, we're looking at pairs of numbers that multiply together to give us that number. Arrays, on the other hand, are rectangular arrangements of objects. While the number of factor pairs for a number may not always be the same as the number of arrays for that number, both concepts help us explore the beauty of numbers in different ways.