Q: What are the factor combinations of the number 761,816,737?

 A:
Positive:   1 x 76181673711 x 69256067103 x 7396279509 x 14966931133 x 6723891321 x 5766975599 x 13606314531 x 52427
Negative: -1 x -761816737-11 x -69256067-103 x -7396279-509 x -1496693-1133 x -672389-1321 x -576697-5599 x -136063-14531 x -52427


How do I find the factor combinations of the number 761,816,737?

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 761,816,737, 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.

1 761,816,737
-1 -761,816,737

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 761,816,737.

Example:
1 x 761,816,737 = 761,816,737
and
-1 x -761,816,737 = 761,816,737
Notice both answers equal 761,816,737

With that explanation out of the way, let's continue. Next, we take the number 761,816,737 and divide it by 2:

761,816,737 ÷ 2 = 380,908,368.5

If the quotient is a whole number, then 2 and 380,908,368.5 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:

1 761,816,737
-1 -761,816,737

Now, we try dividing 761,816,737 by 3:

761,816,737 ÷ 3 = 253,938,912.3333

If the quotient is a whole number, then 3 and 253,938,912.3333 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:

1 761,816,737
-1 -761,816,737

Let's try dividing by 4:

761,816,737 ÷ 4 = 190,454,184.25

If the quotient is a whole number, then 4 and 190,454,184.25 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:

1 761,816,737
-1 761,816,737
Keep dividing by the next highest number until you cannot divide anymore.

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

1111035091,1331,3215,59914,53152,427136,063576,697672,3891,496,6937,396,27969,256,067761,816,737
-1-11-103-509-1,133-1,321-5,599-14,531-52,427-136,063-576,697-672,389-1,496,693-7,396,279-69,256,067-761,816,737

More Examples

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