Q: What are the factor combinations of the number 572,815,165?

 A:
Positive:   1 x 5728151655 x 11456303313 x 4406270565 x 8812541109 x 5255185545 x 10510371417 x 4042457085 x 80849
Negative: -1 x -572815165-5 x -114563033-13 x -44062705-65 x -8812541-109 x -5255185-545 x -1051037-1417 x -404245-7085 x -80849


How do I find the factor combinations of the number 572,815,165?

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 572,815,165, 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.

1 572,815,165
-1 -572,815,165

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 572,815,165.

Example:
1 x 572,815,165 = 572,815,165
and
-1 x -572,815,165 = 572,815,165
Notice both answers equal 572,815,165

With that explanation out of the way, let's continue. Next, we take the number 572,815,165 and divide it by 2:

572,815,165 ÷ 2 = 286,407,582.5

If the quotient is a whole number, then 2 and 286,407,582.5 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:

1 572,815,165
-1 -572,815,165

Now, we try dividing 572,815,165 by 3:

572,815,165 ÷ 3 = 190,938,388.3333

If the quotient is a whole number, then 3 and 190,938,388.3333 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:

1 572,815,165
-1 -572,815,165

Let's try dividing by 4:

572,815,165 ÷ 4 = 143,203,791.25

If the quotient is a whole number, then 4 and 143,203,791.25 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:

1 572,815,165
-1 572,815,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651095451,4177,08580,849404,2451,051,0375,255,1858,812,54144,062,705114,563,033572,815,165
-1-5-13-65-109-545-1,417-7,085-80,849-404,245-1,051,037-5,255,185-8,812,541-44,062,705-114,563,033-572,815,165

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