Q: What are the factor combinations of the number 31,336,637?

 A:
Positive:   1 x 3133663743 x 72875967 x 46771173 x 429269149 x 2103132881 x 108773139 x 99834891 x 6407
Negative: -1 x -31336637-43 x -728759-67 x -467711-73 x -429269-149 x -210313-2881 x -10877-3139 x -9983-4891 x -6407


How do I find the factor combinations of the number 31,336,637?

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 31,336,637, 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 31,336,637
-1 -31,336,637

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 31,336,637.

Example:
1 x 31,336,637 = 31,336,637
and
-1 x -31,336,637 = 31,336,637
Notice both answers equal 31,336,637

With that explanation out of the way, let's continue. Next, we take the number 31,336,637 and divide it by 2:

31,336,637 ÷ 2 = 15,668,318.5

If the quotient is a whole number, then 2 and 15,668,318.5 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 31,336,637
-1 -31,336,637

Now, we try dividing 31,336,637 by 3:

31,336,637 ÷ 3 = 10,445,545.6667

If the quotient is a whole number, then 3 and 10,445,545.6667 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 31,336,637
-1 -31,336,637

Let's try dividing by 4:

31,336,637 ÷ 4 = 7,834,159.25

If the quotient is a whole number, then 4 and 7,834,159.25 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 31,336,637
-1 31,336,637
Keep dividing by the next highest number until you cannot divide anymore.

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

14367731492,8813,1394,8916,4079,98310,877210,313429,269467,711728,75931,336,637
-1-43-67-73-149-2,881-3,139-4,891-6,407-9,983-10,877-210,313-429,269-467,711-728,759-31,336,637

More Examples

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