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Factoring and Multiples

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

500 Questions

How do you write each expression as a product of its factors?

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147abc = 3 x 7 x 7 x a x b x c

Basically, you use prime factorization x variables.

What is the non example of factor?

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Non-examples are infinite. One relevant one is a number that cannot be divided into a number.

What is the greatest common factor of 18 and 90?

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Since 18 is a factor of 90 and it is the largest factor of itself, the greatest common factor of 18 and 90 is 18.
Since 18 is a factor of 90, it is automatically the GCF.

What what equals 310?

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1 x 310, 2 x 155, 5 x 62, 10 x 31.

Hcf of 12 and 15?

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The GCF is 3.

What two numbers multiply to get 330?

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1 x 330, 2 x 165, 3 x 110, 5 x 66, 6 x 55, 10 x 33, 11 x 30, 15 x 22

What are the 3 first common multiples of 2 3 and 5?

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The answer is 10 20 and 30.

What is the LCM of 6 12 24?

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It is not possible to give a sensible answer to this question. The least common multiple (LCM) refers to a multiple that is COMMON to two or more numbers. You have only one number in the question!

What is the gcf for 18 27 36 48?

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What is the gcf of 21,35,14 and 28?

What is the missing factor 4 x f 11?

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To find a missing factor you need an equation. Is this supposed to be 4f = 11?

Then the answer is f = 11/4 or 2 3/4 or 2.75

What is the HCF of 60 and 45?

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To find the HCF of two numbers you first need to express them as the product of their prime factors. In this case you'd get:

45 = 3x3x5

60 = 2x2x3x5

The next step is to identify any common prime factors. In this case both numbers have a 3 and a 5 as a prime factor. Multiplying these together gives:

3x5 = 15

And so 15 is the HCF of 45 and 60.

What are the multiples of 11 between 56 and 122?

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List the multiple of 11between 56 and 122

What multiples of 8 are perfect squares?

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Any even exponent of 8.

What is the LCM of 6 7 and 18?

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Step 1: Multiply them together.

Step 2: Write it down.

What two numbers have the LCM of 90?

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There are infinitely many such pairs of numbers. As long as the only primes they have in common are 2×3²×5 (the prime factorization of 90) their gcf will be 90:

Some examples:

90, 180

90, 270

90, 360

180, 270

180, 450

450, 630

630, 990