Factoring and Multiples

70, 98, 100 / 2

35, 49, 50 / 2

35, 49, 25 / 5

7, 49, 5 / 5

7, 49, 1 / 7

1, 7, 1 / 7

1, 1, 1

SCM = 2 x 2 x 5 x 5 x 7 x 7 = 4900

The factors of 1000000000 are: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 256, 320, 400, 500, 512, 625, 640, 800, 1000, 1250, 1280, 1600, 2000, 2500, 2560, 3125, 3200, 4000, 5000, 6250, 6400, 8000, 10000, 12500, 12800, 15625, 16000, 20000, 25000, 31250, 32000, 40000, 50000, 62500, 64000, 78125, 80000, 100000, 125000, 156250, 160000, 200000, 250000, 312500, 320000, 390625, 400000, 500000, 625000, 781250, 800000, 1000000, 1250000, 1562500, 1600000, 1953125, 2000000, 2500000, 3125000, 3906250, 4000000, 5000000, 6250000, 7812500, 8000000, 10000000, 12500000, 15625000, 20000000, 25000000, 31250000, 40000000, 50000000, 62500000, 100000000, 125000000, 200000000, 250000000, 500000000, and 1000000000.
The prime factors of 1000000000 are: 2 and 5.

To determine how many sixths are in two thirds, you need to convert both fractions to have a common denominator. In this case, the common denominator is 6. Two thirds is equivalent to four sixths, so there are four sixths in two thirds. This can be calculated by multiplying the numerator and denominator of two thirds by 2 to get 4/6.

The highest common factor (HCF) of 36, 64, and 76 is 4. To find the HCF, you need to determine the common factors of the numbers and then identify the highest one they all share. In this case, the common factors of 36, 64, and 76 are 1, 2, and 4, with 4 being the highest common factor.

Well, darling, 36 times 36 equals 1,296. It's as simple as that. Math doesn't have to be complicated, honey. Just multiply those numbers together and you've got your answer.

379 x 1

To determine if 492 is divisible by a certain number, we need to check if 492 divided by that number results in a whole number without any remainder. 492 is divisible by 1, 2, 3, 4, 6, 12, 41, 82, 123, and 246. This is because these numbers are factors of 492, meaning they can be multiplied together to give 492.

Oh, dude, the LCM is the smallest number that both 36 and 48 can divide into evenly, which is 144. And the GCF is the largest number that can divide both 36 and 48 without leaving a remainder, which is 12. So, like, those are the numbers you're looking for. Cool, right?

We note that '48' is an even number because it ends in 0,2,4,6,8, so it will divide by '2'.

Hence dividing

2)48 = 24 An even number so divide by '2' again

2)24 = 12

2)12 = 6

2)6 = 3

At this point '3' is an odd prime number, so divide by '3' to reduce to '1'.

3)3 = 1

Hence the prime factors are 2 & 3. , because they are both prime numbers and factors of '48'.

However there are more factors of '48' , which are not prime numbers.

They are

2 x 2 = 4

2 x 3 =6

2 x 2 x 2 = 8

2 x 2 x 3 = 12

2 x 2 x 2 x 2 = 16

2 x 2 x 2 x 3 = 24

2 x 2 x 2 x 2 x 3 = 48

Or it can be written as

2^(4) x 3^(1) = 48

Oh, dude, expressing 294 as the product of prime factors is like breaking down a complicated relationship. You start by dividing 294 by the smallest prime number, which is 2. Then you keep going until you can't divide anymore. In the end, you'll have 2 x 3 x 7 x 7, which is the prime factorization of 294. Easy peasy lemon squeezy!

The least common multiple (LCM) of two numbers is the smallest multiple that is divisible by both numbers. In this case, the LCM of 7 and 11 is simply the product of the two numbers since they are prime numbers and have no common factors other than 1. Therefore, the LCM of 7 and 11 is 7 x 11 = 77.

Well, isn't that a happy little math question! To find the highest common factor (HCF) of 28, 84, and 91, we can start by listing the factors of each number. The factors of 28 are 1, 2, 4, 7, 14, and 28. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. The factors of 91 are 1, 7, 13, and 91. The largest number that appears in all three lists is 7, so the HCF of 28, 84, and 91 is 7.

Oh, dude, you're hitting me with the math questions, huh? Alright, so the prime factors of 52 are 2 x 2 x 13, and the prime factors of 68 are 2 x 2 x 17. So, the greatest common factor (GCF) is the product of the common prime factors, which in this case is 2 x 2, or 4. Like, easy peasy, lemon squeezy.

30

Oh, dude, let me break it down for you. So, the factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. Out of these, the multiples of 5 are 5, 10, 20, 25, 50, and 100. That's like 6 factors of 100 that are multiples of 5. Easy peasy, lemon squeezy!

To find two numbers that multiply to 1400, we can start by listing the factors of 1400: 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 70, 100, 140, 175, 200, 280, 350, 700, 1400. The pair of numbers that multiply to 1400 is 20 and 70, as 20 * 70 = 1400.

40 + 44 = (4 x 10) + (4 x 11) = 4 x 21 = 84

Here are the first 33 prime numbers. I don't have time to multiply them. Perhaps you do.

2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137

To find the highest common factor (HCF) of 98, 154, and 182, we need to factorize each number into its prime factors. The prime factorization of 98 is 2 x 7 x 7, 154 is 2 x 7 x 11, and 182 is 2 x 7 x 13. To determine the HCF, we identify the common prime factors among the numbers, which are 2 and 7. Therefore, the HCF of 98, 154, and 182 is 2 x 7, which equals 14.

The prime factorization of 80 is 2^4 * 5. This means that 80 can be expressed as the product of the prime numbers 2 and 5 raised to certain powers. In this case, 2 is raised to the power of 4 and 5 is raised to the power of 1.

GCF(30, 45, 75) = 15.

2 x 33 = 54

One third of 140,000 is calculated by dividing 140,000 by 3. This gives us 46,666.67 when rounded to two decimal places. To find one third of a number, you can also multiply the number by 1/3 or 0.3333 recurring. In this case, 140,000 multiplied by 1/3 equals 46,666.67.

Oh, dude, that's an easy one. The numbers with the most factors are the ones with the most divisors, like 60 and 72. They have 12 factors each, beating out all the other numbers from 1 to 100. So, if you're throwing a math party and need some numbers with lots of friends, those are the ones to invite.

Oh, what a happy little question! To find the least common multiple of 12 and 22, we first need to find the multiples of each number. The multiples of 12 are 12, 24, 36, 48... and the multiples of 22 are 22, 44, 66, 88... The least common multiple is the smallest number that appears in both lists, which in this case is 132. Just a little math magic to brighten your day!