Q: What are the factor combinations of the number 31,702,489?

 A:
Positive:   1 x 317024897 x 452892713 x 243865391 x 348379113 x 280553791 x 400791469 x 215813083 x 10283
Negative: -1 x -31702489-7 x -4528927-13 x -2438653-91 x -348379-113 x -280553-791 x -40079-1469 x -21581-3083 x -10283


How do I find the factor combinations of the number 31,702,489?

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 divisors of larger numbers. To find the factor combinations of the number 31,702,489, it is easier to work with a table - it's called factoring from the outside in.

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. Then, below that, write the numbers as a negative as well.

1 31,702,489
-1 -31,702,489

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,702,489.

Example:
1 x 31,702,489 = 31,702,489
and
-1 x -31,702,489 = 31,702,489
Notice both answers equal 31,702,489

With that explanation out of the way, let's continue. Next, we take the number 31,702,489 and divide it by 2:

31,702,489 ÷ 2 = 15,851,244.5

If the quotient is a whole number, then 2 and 15,851,244.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

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

1 31,702,489
-1 -31,702,489

Now, we try dividing 31,702,489 by 3:

31,702,489 ÷ 3 = 10,567,496.3333

If the quotient is a whole number, then 3 and 10,567,496.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

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

1 31,702,489
-1 -31,702,489

Let's try dividing by 4:

31,702,489 ÷ 4 = 7,925,622.25

If the quotient is a whole number, then 4 and 7,925,622.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

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

1 31,702,489
-1 31,702,489
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1713911137911,4693,08310,28321,58140,079280,553348,3792,438,6534,528,92731,702,489
-1-7-13-91-113-791-1,469-3,083-10,283-21,581-40,079-280,553-348,379-2,438,653-4,528,927-31,702,489

More Examples

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