Q: What are the factor combinations of the number 320,045,531?

 A:
Positive:   1 x 32004553113 x 24618887193 x 1658267199 x 1608269641 x 4992912509 x 1275592587 x 1237138333 x 38407
Negative: -1 x -320045531-13 x -24618887-193 x -1658267-199 x -1608269-641 x -499291-2509 x -127559-2587 x -123713-8333 x -38407


How do I find the factor combinations of the number 320,045,531?

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 320,045,531, 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.

1 320,045,531
-1 -320,045,531

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 320,045,531.

Example:
1 x 320,045,531 = 320,045,531
and
-1 x -320,045,531 = 320,045,531
Notice both answers equal 320,045,531

With that explanation out of the way, let's continue. Next, we take the number 320,045,531 and divide it by 2:

320,045,531 ÷ 2 = 160,022,765.5

If the quotient is a whole number, then 2 and 160,022,765.5 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:

1 320,045,531
-1 -320,045,531

Now, we try dividing 320,045,531 by 3:

320,045,531 ÷ 3 = 106,681,843.6667

If the quotient is a whole number, then 3 and 106,681,843.6667 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:

1 320,045,531
-1 -320,045,531

Let's try dividing by 4:

320,045,531 ÷ 4 = 80,011,382.75

If the quotient is a whole number, then 4 and 80,011,382.75 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:

1 320,045,531
-1 320,045,531
Keep dividing by the next highest number until you cannot divide anymore.

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

1131931996412,5092,5878,33338,407123,713127,559499,2911,608,2691,658,26724,618,887320,045,531
-1-13-193-199-641-2,509-2,587-8,333-38,407-123,713-127,559-499,291-1,608,269-1,658,267-24,618,887-320,045,531

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