Factoring and Multiples

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
The prime factors of 72 are: 2 and 3.

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.
The prime factors of 96 are: 2 and 3.

The first 100 multiples of 7:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70,

77, 84, 91, 98, 105, 112, 119, 126, 133, 140,

147, 154, 161, 168, 175, 182, 189, 196, 203, 210,

217, 224, 231, 238, 245, 252, 259, 266, 273, 280,

287, 294, 301, 308, 315, 322, 329, 336, 343, 350,

357, 364, 371, 378, 385, 392, 399, 406, 413, 420,

427, 434, 441, 448, 455, 462, 469, 476, 483, 490,

497, 504, 511, 518, 525, 532, 539, 546, 553, 560,

567, 574, 581, 588, 595, 602, 609, 616, 623, 630,

637, 644, 651, 658, 665, 672, 679, 686, 693, 700

Oh, absolutely! It sounds like you're looking for a number that can divide both 32 and 47. In this case, the number 1 can divide both of these numbers evenly, as can the number itself. Remember, there's always a way to find common ground and make things work out beautifully.

To find the greatest common factor (GCF) of 217, 93, and 155, we first need to factorize each number. The prime factorization of 217 is 7 x 31, 93 is 3 x 31, and 155 is 5 x 31. The common factor among these three numbers is 31. Therefore, the greatest common factor of 217, 93, and 155 is 31.

Oh, dude, the highest common factor of 40 and 120 is 40. Like, you take the largest number that can divide both 40 and 120 evenly, and that's it. It's like finding the biggest slice of pizza that can be shared between two hungry friends.

The prime factorization of 1800 can be found by breaking it down into its prime factors: 2 x 2 x 2 x 3 x 3 x 5 x 5. This can be written in exponential form as 2^3 x 3^2 x 5^2. This means that 1800 can be expressed as the product of these prime numbers raised to their respective exponents.

Well, darling, the highest common factor of 210 and 108 is 6. That's right, just good old number 6 strutting its stuff as the biggest factor those two can share. So, there you have it, 6 is the boss in this math equation.

The resistance values in a resistance box are typically arranged in a specific sequence to allow for a wide range of resistance values to be easily selected. The sequence you mentioned (1, 2, 2, 5, 10, 20, 20, 50) likely follows a logarithmic or geometric progression, allowing for a more precise and evenly spaced selection of resistance values. This arrangement ensures that a wide range of resistance values can be obtained by combining different resistors in series or parallel configurations.

Oh, what a happy little question! The first five multiples of 18 are 18, 36, 54, 72, and 90. Just imagine each multiple as a little tree in a row, swaying gently in the breeze. Keep painting those multiples, and soon you'll have a whole forest of numbers to admire!

Well, honey, 28 does not go into 152 evenly. When you do the math, 28 goes into 152 five times with a remainder of 12. So, nope, no even division happening there.

Well, isn't that just a happy little question! Let's take a look at our canvas here. The common factors of 28 and 72 are 1, 2, 4, and 7. Remember, there's no mistakes in math, just happy little numbers waiting to be discovered.

Well, isn't that a happy little question! The square factors of 56 are the numbers that, when multiplied by themselves, give you 56. In this case, the square factors of 56 are 1, 4, and 7. Just imagine those numbers sitting together on a lovely little canvas, each one adding its own unique touch to the painting of 56.

The two numbers that have 105 as their least common multiple (LCM) are 15 and 7. This is because the LCM of two numbers is the smallest number that is a multiple of both numbers. In this case, 15 and 7 are both factors of 105, and no smaller number can be a multiple of both 15 and 7.

45

1 and 11.

To find the Least Common Multiple (LCM) of 5, 7, and 8, we first need to prime factorize each number. The prime factors of 5 are 5, the prime factors of 7 are 7, and the prime factors of 8 are 2 x 2 x 2. Then, we need to take the highest power of each prime factor that appears in any of the numbers. So, the LCM of 5, 7, and 8 is 2 x 2 x 2 x 5 x 7, which equals 280.

Oh, isn't that just a happy little question! Numbers divisible by 3300 are those that can be divided by 3300 without leaving a remainder. So, any multiple of 3300 like 6600, 9900, or even 13200 would be divisible by 3300. Just imagine all those numbers peacefully resting in the shade of a big, friendly tree.

To express 112 as a product of its prime factors, we first need to find its prime factorization. We can start by dividing 112 by the smallest prime number, which is 2. 112 ÷ 2 = 56. Then, 56 can be divided by 2 again to get 28. Continuing this process, we find that the prime factorization of 112 is 2^4 x 7. So, 112 can be expressed as 2^4 x 7.

Well, honey, the common factors of 64 and 156 are 1, 2, 4, and 13. Those are the numbers that can divide both 64 and 156 without leaving a remainder. So, there you have it, now go forth and conquer those factors like the math superstar you are!

The factors of 28 are 1, 2, 4, 7, 14, and 28 because these numbers can be multiplied together to equal 28. The factors of 49 are 1, 7, and 49 because these numbers can be multiplied together to equal 49. Factors are numbers that can divide a given number without leaving a remainder.

A number is divisible by 115 if it is divisible by both 5 and 23, as 115 = 5 * 23. To determine if a number is divisible by 5, you check if its last digit is 0 or 5. To check if a number is divisible by 23, you can use the divisibility rule for 23, which involves subtracting four times the last digit from the rest of the number and checking if the result is divisible by 23.

The LCM of 24, 32, and 48 is 96.
96. 24 x 4 =96. 32 x 3 = 96. 48 x 2 = 96.

There's no such thing as a common factor of one number. The word "common" means "same for both".

You need at least two numbers, in order to find a factor that's "common" to both of them.

The GCF of 8, 10, and 12 is 2.

The greatest common factor (GCF) is the greatest factor that divides two numbers.

step1:

find the prime factors of each number

prime factors of 8: 2 X 2 X 2

prime factors of 10: 2 X 5

prime factors of 20: 2 X 2 X 5

step2:

multiply the common factors in the both numbers

there is only number 2 is in common.

GCF = 2

Oh, isn't prime factorization a happy little journey? Let's break down 2008 into its prime factors: 2 x 2 x 2 x 251. See how those numbers come together like friends on a canvas? Just remember, every number can be broken down into its own unique combination of primes, just like every brushstroke adds beauty to a painting.