Q: What are the factor combinations of the number 31,338,245?

 A:
Positive:   1 x 313382455 x 626764967 x 467735139 x 225455335 x 93547673 x 46565695 x 450913365 x 9313
Negative: -1 x -31338245-5 x -6267649-67 x -467735-139 x -225455-335 x -93547-673 x -46565-695 x -45091-3365 x -9313


How do I find the factor combinations of the number 31,338,245?

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 31,338,245, 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 31,338,245
-1 -31,338,245

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 31,338,245.

Example:
1 x 31,338,245 = 31,338,245
and
-1 x -31,338,245 = 31,338,245
Notice both answers equal 31,338,245

With that explanation out of the way, let's continue. Next, we take the number 31,338,245 and divide it by 2:

31,338,245 ÷ 2 = 15,669,122.5

If the quotient is a whole number, then 2 and 15,669,122.5 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 31,338,245
-1 -31,338,245

Now, we try dividing 31,338,245 by 3:

31,338,245 ÷ 3 = 10,446,081.6667

If the quotient is a whole number, then 3 and 10,446,081.6667 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 31,338,245
-1 -31,338,245

Let's try dividing by 4:

31,338,245 ÷ 4 = 7,834,561.25

If the quotient is a whole number, then 4 and 7,834,561.25 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 31,338,245
-1 31,338,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15671393356736953,3659,31345,09146,56593,547225,455467,7356,267,64931,338,245
-1-5-67-139-335-673-695-3,365-9,313-45,091-46,565-93,547-225,455-467,735-6,267,649-31,338,245

More Examples

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