Q: What are the factor combinations of the number 612,704,077?

 A:
Positive:   1 x 61270407719 x 32247583101 x 6066377139 x 44079431919 x 3192832297 x 2667412641 x 23199714039 x 43643
Negative: -1 x -612704077-19 x -32247583-101 x -6066377-139 x -4407943-1919 x -319283-2297 x -266741-2641 x -231997-14039 x -43643


How do I find the factor combinations of the number 612,704,077?

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 612,704,077, 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.

1 612,704,077
-1 -612,704,077

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 612,704,077.

Example:
1 x 612,704,077 = 612,704,077
and
-1 x -612,704,077 = 612,704,077
Notice both answers equal 612,704,077

With that explanation out of the way, let's continue. Next, we take the number 612,704,077 and divide it by 2:

612,704,077 ÷ 2 = 306,352,038.5

If the quotient is a whole number, then 2 and 306,352,038.5 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:

1 612,704,077
-1 -612,704,077

Now, we try dividing 612,704,077 by 3:

612,704,077 ÷ 3 = 204,234,692.3333

If the quotient is a whole number, then 3 and 204,234,692.3333 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:

1 612,704,077
-1 -612,704,077

Let's try dividing by 4:

612,704,077 ÷ 4 = 153,176,019.25

If the quotient is a whole number, then 4 and 153,176,019.25 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:

1 612,704,077
-1 612,704,077
Keep dividing by the next highest number until you cannot divide anymore.

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

1191011391,9192,2972,64114,03943,643231,997266,741319,2834,407,9436,066,37732,247,583612,704,077
-1-19-101-139-1,919-2,297-2,641-14,039-43,643-231,997-266,741-319,283-4,407,943-6,066,377-32,247,583-612,704,077

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