How do I find the factors or divisors of the number 491,472?

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 491,472, 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.

1 491,472

Next, we take the number 491,472 and divide it by 2.

In this case, 491,472 ÷ 2 = 245,736

If the quotient is a whole number, then 2 and 245,736 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 245,736 491,472

Now, we try dividing 491,472 by 3.

491,472 ÷ 3 = 163,824

If the quotient is a whole number, then 3 and 163,824 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 3 163,824 245,736 491,472

Let's try dividing by 4.

491,472 ÷ 4 = 122,868

If the quotient is a whole number, then 4 and 122,868 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 4 122,868 163,824 245,736 491,472

We keep dividing by the next largest number, in this case the number 5. If the quotient of 491,472 ÷ 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:

1234689121618243648721443,4136,82610,23913,65220,47827,30430,71740,95654,60861,43481,912122,868163,824245,736491,472

All of the numbers in the table above can be evenly divided into the number 491,472.

Finally, for your reference, here are all of the divisor combinations of the number 491,472:

1 x 4914722 x 2457363 x 1638244 x 1228686 x 819128 x 614349 x 5460812 x 4095616 x 3071718 x 2730424 x 2047836 x 1365248 x 1023972 x 6826144 x 3413


More Examples

Here are some more numbers to try:

491,470491,471491,473491,474
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