Q: What are the factor combinations of the number 76,737,371?

 A:
Positive:   1 x 7673737117 x 451396319 x 403880937 x 2073983323 x 237577629 x 121999703 x 1091576421 x 11951
Negative: -1 x -76737371-17 x -4513963-19 x -4038809-37 x -2073983-323 x -237577-629 x -121999-703 x -109157-6421 x -11951


How do I find the factor combinations of the number 76,737,371?

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 76,737,371, 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 76,737,371
-1 -76,737,371

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 76,737,371.

Example:
1 x 76,737,371 = 76,737,371
and
-1 x -76,737,371 = 76,737,371
Notice both answers equal 76,737,371

With that explanation out of the way, let's continue. Next, we take the number 76,737,371 and divide it by 2:

76,737,371 ÷ 2 = 38,368,685.5

If the quotient is a whole number, then 2 and 38,368,685.5 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 76,737,371
-1 -76,737,371

Now, we try dividing 76,737,371 by 3:

76,737,371 ÷ 3 = 25,579,123.6667

If the quotient is a whole number, then 3 and 25,579,123.6667 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 76,737,371
-1 -76,737,371

Let's try dividing by 4:

76,737,371 ÷ 4 = 19,184,342.75

If the quotient is a whole number, then 4 and 19,184,342.75 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 76,737,371
-1 76,737,371
Keep dividing by the next highest number until you cannot divide anymore.

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

11719373236297036,42111,951109,157121,999237,5772,073,9834,038,8094,513,96376,737,371
-1-17-19-37-323-629-703-6,421-11,951-109,157-121,999-237,577-2,073,983-4,038,809-4,513,963-76,737,371

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 76,737,371:


Ask a Question