How do I find the factors or divisors of the number 31,284?

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 31,284, 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 31,284

Next, we take the number 31,284 and divide it by 2.

In this case, 31,284 ÷ 2 = 15,642

If the quotient is a whole number, then 2 and 15,642 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 15,642 31,284

Now, we try dividing 31,284 by 3.

31,284 ÷ 3 = 10,428

If the quotient is a whole number, then 3 and 10,428 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 10,428 15,642 31,284

Let's try dividing by 4.

31,284 ÷ 4 = 7,821

If the quotient is a whole number, then 4 and 7,821 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 7,821 10,428 15,642 31,284

We keep dividing by the next largest number, in this case the number 5. If the quotient of 31,284 ÷ 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:

123469111218223336446679991321581982373163964747118699481,4221,7382,6072,8443,4765,2147,82110,42815,64231,284

All of the numbers in the table above can be evenly divided into the number 31,284.

Finally, for your reference, here are all of the divisor combinations of the number 31,284:

1 x 312842 x 156423 x 104284 x 78216 x 52149 x 347611 x 284412 x 260718 x 173822 x 142233 x 94836 x 86944 x 71166 x 47479 x 39699 x 316132 x 237158 x 198


More Examples

Here are some more numbers to try:

31,28231,28331,28531,286
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