Q: What are the factor combinations of the number 31,023,055?

 A:
Positive:   1 x 310230555 x 62046117 x 443186535 x 88637347 x 660065235 x 132013329 x 942951645 x 18859
Negative: -1 x -31023055-5 x -6204611-7 x -4431865-35 x -886373-47 x -660065-235 x -132013-329 x -94295-1645 x -18859


How do I find the factor combinations of the number 31,023,055?

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 31,023,055, 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 31,023,055
-1 -31,023,055

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 31,023,055.

Example:
1 x 31,023,055 = 31,023,055
and
-1 x -31,023,055 = 31,023,055
Notice both answers equal 31,023,055

With that explanation out of the way, let's continue. Next, we take the number 31,023,055 and divide it by 2:

31,023,055 ÷ 2 = 15,511,527.5

If the quotient is a whole number, then 2 and 15,511,527.5 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 31,023,055
-1 -31,023,055

Now, we try dividing 31,023,055 by 3:

31,023,055 ÷ 3 = 10,341,018.3333

If the quotient is a whole number, then 3 and 10,341,018.3333 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 31,023,055
-1 -31,023,055

Let's try dividing by 4:

31,023,055 ÷ 4 = 7,755,763.75

If the quotient is a whole number, then 4 and 7,755,763.75 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 31,023,055
-1 31,023,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15735472353291,64518,85994,295132,013660,065886,3734,431,8656,204,61131,023,055
-1-5-7-35-47-235-329-1,645-18,859-94,295-132,013-660,065-886,373-4,431,865-6,204,611-31,023,055

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