Q: What are the factor combinations of the number 137,731,637?

 A:
Positive:   1 x 13773163717 x 8101861109 x 1263593239 x 576283311 x 4428671853 x 743294063 x 338995287 x 26051
Negative: -1 x -137731637-17 x -8101861-109 x -1263593-239 x -576283-311 x -442867-1853 x -74329-4063 x -33899-5287 x -26051


How do I find the factor combinations of the number 137,731,637?

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 137,731,637, 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.

1 137,731,637
-1 -137,731,637

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 137,731,637.

Example:
1 x 137,731,637 = 137,731,637
and
-1 x -137,731,637 = 137,731,637
Notice both answers equal 137,731,637

With that explanation out of the way, let's continue. Next, we take the number 137,731,637 and divide it by 2:

137,731,637 ÷ 2 = 68,865,818.5

If the quotient is a whole number, then 2 and 68,865,818.5 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:

1 137,731,637
-1 -137,731,637

Now, we try dividing 137,731,637 by 3:

137,731,637 ÷ 3 = 45,910,545.6667

If the quotient is a whole number, then 3 and 45,910,545.6667 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:

1 137,731,637
-1 -137,731,637

Let's try dividing by 4:

137,731,637 ÷ 4 = 34,432,909.25

If the quotient is a whole number, then 4 and 34,432,909.25 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:

1 137,731,637
-1 137,731,637
Keep dividing by the next highest number until you cannot divide anymore.

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

1171092393111,8534,0635,28726,05133,89974,329442,867576,2831,263,5938,101,861137,731,637
-1-17-109-239-311-1,853-4,063-5,287-26,051-33,899-74,329-442,867-576,283-1,263,593-8,101,861-137,731,637

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