Q: What are the factor combinations of the number 31,745,485?

 A:
Positive:   1 x 317454855 x 634909719 x 167081595 x 334163151 x 210235755 x 420472213 x 143452869 x 11065
Negative: -1 x -31745485-5 x -6349097-19 x -1670815-95 x -334163-151 x -210235-755 x -42047-2213 x -14345-2869 x -11065


How do I find the factor combinations of the number 31,745,485?

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 31,745,485, 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 31,745,485
-1 -31,745,485

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 31,745,485.

Example:
1 x 31,745,485 = 31,745,485
and
-1 x -31,745,485 = 31,745,485
Notice both answers equal 31,745,485

With that explanation out of the way, let's continue. Next, we take the number 31,745,485 and divide it by 2:

31,745,485 ÷ 2 = 15,872,742.5

If the quotient is a whole number, then 2 and 15,872,742.5 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 31,745,485
-1 -31,745,485

Now, we try dividing 31,745,485 by 3:

31,745,485 ÷ 3 = 10,581,828.3333

If the quotient is a whole number, then 3 and 10,581,828.3333 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 31,745,485
-1 -31,745,485

Let's try dividing by 4:

31,745,485 ÷ 4 = 7,936,371.25

If the quotient is a whole number, then 4 and 7,936,371.25 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 31,745,485
-1 31,745,485
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951517552,2132,86911,06514,34542,047210,235334,1631,670,8156,349,09731,745,485
-1-5-19-95-151-755-2,213-2,869-11,065-14,345-42,047-210,235-334,163-1,670,815-6,349,097-31,745,485

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