Q: What are the factor combinations of the number 372,712,529?

 A:
Positive:   1 x 3727125297 x 53244647109 x 3419381193 x 1931153763 x 4884831351 x 2758792531 x 14725917717 x 21037
Negative: -1 x -372712529-7 x -53244647-109 x -3419381-193 x -1931153-763 x -488483-1351 x -275879-2531 x -147259-17717 x -21037


How do I find the factor combinations of the number 372,712,529?

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 372,712,529, 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.

1 372,712,529
-1 -372,712,529

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 372,712,529.

Example:
1 x 372,712,529 = 372,712,529
and
-1 x -372,712,529 = 372,712,529
Notice both answers equal 372,712,529

With that explanation out of the way, let's continue. Next, we take the number 372,712,529 and divide it by 2:

372,712,529 ÷ 2 = 186,356,264.5

If the quotient is a whole number, then 2 and 186,356,264.5 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:

1 372,712,529
-1 -372,712,529

Now, we try dividing 372,712,529 by 3:

372,712,529 ÷ 3 = 124,237,509.6667

If the quotient is a whole number, then 3 and 124,237,509.6667 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:

1 372,712,529
-1 -372,712,529

Let's try dividing by 4:

372,712,529 ÷ 4 = 93,178,132.25

If the quotient is a whole number, then 4 and 93,178,132.25 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:

1 372,712,529
-1 372,712,529
Keep dividing by the next highest number until you cannot divide anymore.

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

171091937631,3512,53117,71721,037147,259275,879488,4831,931,1533,419,38153,244,647372,712,529
-1-7-109-193-763-1,351-2,531-17,717-21,037-147,259-275,879-488,483-1,931,153-3,419,381-53,244,647-372,712,529

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