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Factoring and Multiples

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

63,380 Questions

What are common factors of 28 and 72?

The factors of 28 are 1, 2, 4, 7, 14, and 28.

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

The common factors are 1, 2, and 4.

The greatest common factor is 4.

What are the square factors of 56?

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.

What two numbers have 105 as their LCM?

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.

What is the the LCM of 5 7 and 8?

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.

What numbers are divisible by 3300?

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.

What is 112 expressed as a product of its prime factors?

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.

What are the common factors of 64 and 156?

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!

What are the factor of 28 and 49?

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.

What is divisible by 115?

To find out what whole numbers can be divided by 115, first find the multiples.

115 x 2 = 230

115 x 3 = 345

115 x 4 = 460

etc..

All the results are multiples of 115. In this case 230, 345, and 460 are all divisible by 115.

What is the least common multiple of 24 32 and 48?

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

What is the highest common factor of 350?

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.

What is the greatest common factor of 8 10 and 20?

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

What is the prime factorization of 2008?

The prime factorization of 2008 is 2^3 x 251. This means that 2008 can be expressed as the product of the prime numbers 2 and 251, each raised to the power of their respective occurrences in the factorization. In this case, 2 is raised to the power of 3 because it appears three times in the factorization, while 251 is raised to the power of 1 because it appears once.

What is 954 divisible by?

To determine what 954 is divisible by, we need to consider the factors of 954. The prime factorization of 954 is 2 x 3 x 3 x 53. Therefore, 954 is divisible by 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, and 954.

What is the greatest common factor of 77 and 203?

The greatest common factor of 77 and 203 is 7

To find the Highest Common Factor convert each number into its prime factors.

77 = 7 x 11

203 = 7 x 29

In this example, 7 is the only factor common to both numbers and is therefore the Highest Common Factor of 77 and 203
The GCF is 7.

What is the greatest common factor of 77 and 121?

The greatest common factor of 77 and 121 is 11.

Factors of 77: 1 7 11 77 Factors of 121: 1 11121
The GCF is 11.

What is the greatest common factor of 22 33 and 121?

To find the greatest common factor (GCF) of three numbers, we first need to factorize each number. The factors of 22 are 2 x 11, the factors of 33 are 3 x 11, and the factors of 121 are 11 x 11. The common factor among these numbers is 11, which is the greatest common factor. Therefore, the GCF of 22, 33, and 121 is 11.

What is the greatest common factor of 22 88 and 121?

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 22, 88, and 121 is 11

What is the GCF of 27 63 and 81?

Oh honey, the greatest common factor (GCF) of 27, 63, and 81 is 9. It's like finding the biggest diva that can divide all three numbers without breaking a sweat. So, 9 is the winner winner, chicken dinner in this math showdown.

What is the greatest common factor of 36 54 and 81?

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 36, 54, and 81 is 9

What is the greatest common multiple of 4568?

The greatest common multiple of a number is the largest number that can be evenly divided by the given number. In this case, the greatest common multiple of 4568 would be 4568 itself, as any multiple of 4568 would also be a multiple of 4568. Therefore, the greatest common multiple of 4568 is 4568.

What is the greatest common factor of 48 54 and 72?

To find the greatest common factor (GCF) of 48, 54, and 72, we first need to list the factors of each number. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. The GCF is the largest number that appears in all three lists, which in this case is 6.

What is the greatest common factor of 96 and 212?

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 96 and 212 is 4.
96 = 2 x 2 x 2 x 2 x 2 x 3, 212 = 2 x 2 x 53 so HCF is 4