How do I find the factors or divisors of the number 52,752?

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 52,752, 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 52,752

Next, we take the number 52,752 and divide it by 2.

In this case, 52,752 ÷ 2 = 26,376

If the quotient is a whole number, then 2 and 26,376 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 26,376 52,752

Now, we try dividing 52,752 by 3.

52,752 ÷ 3 = 17,584

If the quotient is a whole number, then 3 and 17,584 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:

1 2 3 17,584 26,376 52,752

Let's try dividing by 4.

52,752 ÷ 4 = 13,188

If the quotient is a whole number, then 4 and 13,188 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:

1 2 3 4 13,188 17,584 26,376 52,752

We keep dividing by the next largest number, in this case the number 5. If the quotient of 52,752 ÷ 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:

1234678121416212428424856841121571683143364716289421,0991,2561,8842,1982,5123,2973,7684,3966,5947,5368,79213,18817,58426,37652,752

All of the numbers in the table above can be evenly divided into the number 52,752.

Finally, for your reference, here are all of the divisor combinations of the number 52,752:

1 x 527522 x 263763 x 175844 x 131886 x 87927 x 75368 x 659412 x 439614 x 376816 x 329721 x 251224 x 219828 x 188442 x 125648 x 109956 x 94284 x 628112 x 471157 x 336168 x 314


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