Q: What are the factor combinations of the number 636,323,039?

 A:
Positive:   1 x 63632303911 x 5784754917 x 37430767187 x 3402797211 x 30157492321 x 2741593587 x 17739716127 x 39457
Negative: -1 x -636323039-11 x -57847549-17 x -37430767-187 x -3402797-211 x -3015749-2321 x -274159-3587 x -177397-16127 x -39457


How do I find the factor combinations of the number 636,323,039?

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 636,323,039, 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.

1 636,323,039
-1 -636,323,039

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 636,323,039.

Example:
1 x 636,323,039 = 636,323,039
and
-1 x -636,323,039 = 636,323,039
Notice both answers equal 636,323,039

With that explanation out of the way, let's continue. Next, we take the number 636,323,039 and divide it by 2:

636,323,039 ÷ 2 = 318,161,519.5

If the quotient is a whole number, then 2 and 318,161,519.5 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:

1 636,323,039
-1 -636,323,039

Now, we try dividing 636,323,039 by 3:

636,323,039 ÷ 3 = 212,107,679.6667

If the quotient is a whole number, then 3 and 212,107,679.6667 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:

1 636,323,039
-1 -636,323,039

Let's try dividing by 4:

636,323,039 ÷ 4 = 159,080,759.75

If the quotient is a whole number, then 4 and 159,080,759.75 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:

1 636,323,039
-1 636,323,039
Keep dividing by the next highest number until you cannot divide anymore.

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

111171872112,3213,58716,12739,457177,397274,1593,015,7493,402,79737,430,76757,847,549636,323,039
-1-11-17-187-211-2,321-3,587-16,127-39,457-177,397-274,159-3,015,749-3,402,797-37,430,767-57,847,549-636,323,039

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