Q: What are the factor combinations of the number 316,236,107?

 A:
Positive:   1 x 31623610711 x 2874873753 x 5966719313 x 1010339583 x 5424291733 x 1824793443 x 9184916589 x 19063
Negative: -1 x -316236107-11 x -28748737-53 x -5966719-313 x -1010339-583 x -542429-1733 x -182479-3443 x -91849-16589 x -19063


How do I find the factor combinations of the number 316,236,107?

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 316,236,107, 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.

1 316,236,107
-1 -316,236,107

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 316,236,107.

Example:
1 x 316,236,107 = 316,236,107
and
-1 x -316,236,107 = 316,236,107
Notice both answers equal 316,236,107

With that explanation out of the way, let's continue. Next, we take the number 316,236,107 and divide it by 2:

316,236,107 ÷ 2 = 158,118,053.5

If the quotient is a whole number, then 2 and 158,118,053.5 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:

1 316,236,107
-1 -316,236,107

Now, we try dividing 316,236,107 by 3:

316,236,107 ÷ 3 = 105,412,035.6667

If the quotient is a whole number, then 3 and 105,412,035.6667 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:

1 316,236,107
-1 -316,236,107

Let's try dividing by 4:

316,236,107 ÷ 4 = 79,059,026.75

If the quotient is a whole number, then 4 and 79,059,026.75 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:

1 316,236,107
-1 316,236,107
Keep dividing by the next highest number until you cannot divide anymore.

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

111533135831,7333,44316,58919,06391,849182,479542,4291,010,3395,966,71928,748,737316,236,107
-1-11-53-313-583-1,733-3,443-16,589-19,063-91,849-182,479-542,429-1,010,339-5,966,719-28,748,737-316,236,107

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