How do I find the factors or divisors of the number 31,013,248?

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 31,013,248, 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 31,013,248

Next, we take the number 31,013,248 and divide it by 2.

In this case, 31,013,248 ÷ 2 = 15,506,624

If the quotient is a whole number, then 2 and 15,506,624 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 15,506,624 31,013,248

Now, we try dividing 31,013,248 by 3.

31,013,248 ÷ 3 = 10,337,749.3333

If the quotient is a whole number, then 3 and 10,337,749.3333 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:

1 2 15,506,624 31,013,248

Let's try dividing by 4.

31,013,248 ÷ 4 = 7,753,312

If the quotient is a whole number, then 4 and 7,753,312 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 4 7,753,312 15,506,624 31,013,248

We keep dividing by the next largest number, in this case the number 5. If the quotient of 31,013,248 ÷ 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:

1247814162832566411212822444889634,61369,226138,452242,291276,904484,582553,808969,1641,107,6161,938,3282,215,2323,876,6564,430,4647,753,31215,506,62431,013,248

All of the numbers in the table above can be evenly divided into the number 31,013,248.

Finally, for your reference, here are all of the divisor combinations of the number 31,013,248:

1 x 310132482 x 155066244 x 77533127 x 44304648 x 387665614 x 221523216 x 193832828 x 110761632 x 96916456 x 55380864 x 484582112 x 276904128 x 242291224 x 138452448 x 69226896 x 34613


More Examples

Here are some more numbers to try:

31,013,24631,013,24731,013,24931,013,250
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