Q: What are the factors or divisors of the number 37,534?

How do I find the factors or divisors of the number 37,534?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the factors of larger numbers. To find the factors of the number 37,534, it is easiest to start from the outside in. Here's what we mean:

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table.

1

37,534

Next, we take the number 37,534 and divide it by 2.

In this case, 37,534 ÷ 2 = 18,767

If the quotient is a whole number, then 2 and 18,767 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Now, we try dividing 37,534 by 3.

37,534 ÷ 3 = 12,511.3333

If the quotient is a whole number, then 3 and 12,511.3333 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

Let's try dividing by 4.

37,534 ÷ 4 = 9,383.5

If the quotient is a whole number, then 4 and 9,383.5 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

We keep dividing by the next largest number, in this case the number 5. If the quotient of 37,534 ÷ 5 is a whole number, then 5 and your quotient are factors of the number.

Keep dividing by the next highest number until you cannot divide anymore.

What you will end up with is this table:

All of the numbers in the table above can be evenly divided into the number 37,534.

Finally, for your reference, here are all of the divisor combinations of the number 37,534:

1 x 37534
2 x 18767
7 x 5362
14 x 2681
49 x 766
98 x 383

More Examples

Here are some more numbers to try:

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