Q: What are the factor combinations of the number 552,316,339?

 A:
Positive:   1 x 55231633919 x 2906928129 x 1904539153 x 10421063551 x 10023891007 x 5484771537 x 35934718913 x 29203
Negative: -1 x -552316339-19 x -29069281-29 x -19045391-53 x -10421063-551 x -1002389-1007 x -548477-1537 x -359347-18913 x -29203


How do I find the factor combinations of the number 552,316,339?

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 552,316,339, 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.

1 552,316,339
-1 -552,316,339

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 552,316,339.

Example:
1 x 552,316,339 = 552,316,339
and
-1 x -552,316,339 = 552,316,339
Notice both answers equal 552,316,339

With that explanation out of the way, let's continue. Next, we take the number 552,316,339 and divide it by 2:

552,316,339 ÷ 2 = 276,158,169.5

If the quotient is a whole number, then 2 and 276,158,169.5 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:

1 552,316,339
-1 -552,316,339

Now, we try dividing 552,316,339 by 3:

552,316,339 ÷ 3 = 184,105,446.3333

If the quotient is a whole number, then 3 and 184,105,446.3333 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:

1 552,316,339
-1 -552,316,339

Let's try dividing by 4:

552,316,339 ÷ 4 = 138,079,084.75

If the quotient is a whole number, then 4 and 138,079,084.75 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:

1 552,316,339
-1 552,316,339
Keep dividing by the next highest number until you cannot divide anymore.

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

11929535511,0071,53718,91329,203359,347548,4771,002,38910,421,06319,045,39129,069,281552,316,339
-1-19-29-53-551-1,007-1,537-18,913-29,203-359,347-548,477-1,002,389-10,421,063-19,045,391-29,069,281-552,316,339

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