Q: What are the factor combinations of the number 763,721,315?

 A:
Positive:   1 x 7637213155 x 1527442637 x 10910304535 x 218206092207 x 3460459887 x 7724511035 x 6920915449 x 49435
Negative: -1 x -763721315-5 x -152744263-7 x -109103045-35 x -21820609-2207 x -346045-9887 x -77245-11035 x -69209-15449 x -49435


How do I find the factor combinations of the number 763,721,315?

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 763,721,315, 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.

1 763,721,315
-1 -763,721,315

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 763,721,315.

Example:
1 x 763,721,315 = 763,721,315
and
-1 x -763,721,315 = 763,721,315
Notice both answers equal 763,721,315

With that explanation out of the way, let's continue. Next, we take the number 763,721,315 and divide it by 2:

763,721,315 ÷ 2 = 381,860,657.5

If the quotient is a whole number, then 2 and 381,860,657.5 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:

1 763,721,315
-1 -763,721,315

Now, we try dividing 763,721,315 by 3:

763,721,315 ÷ 3 = 254,573,771.6667

If the quotient is a whole number, then 3 and 254,573,771.6667 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:

1 763,721,315
-1 -763,721,315

Let's try dividing by 4:

763,721,315 ÷ 4 = 190,930,328.75

If the quotient is a whole number, then 4 and 190,930,328.75 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:

1 763,721,315
-1 763,721,315
Keep dividing by the next highest number until you cannot divide anymore.

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

157352,2079,88711,03515,44949,43569,20977,245346,04521,820,609109,103,045152,744,263763,721,315
-1-5-7-35-2,207-9,887-11,035-15,449-49,435-69,209-77,245-346,045-21,820,609-109,103,045-152,744,263-763,721,315

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 763,721,315:


Ask a Question