Q: What are the factor combinations of the number 612,070,055?

 A:
Positive:   1 x 6120700555 x 12241401171 x 8620705229 x 2672795355 x 17241411145 x 5345597529 x 8129516259 x 37645
Negative: -1 x -612070055-5 x -122414011-71 x -8620705-229 x -2672795-355 x -1724141-1145 x -534559-7529 x -81295-16259 x -37645


How do I find the factor combinations of the number 612,070,055?

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 612,070,055, 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.

1 612,070,055
-1 -612,070,055

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 612,070,055.

Example:
1 x 612,070,055 = 612,070,055
and
-1 x -612,070,055 = 612,070,055
Notice both answers equal 612,070,055

With that explanation out of the way, let's continue. Next, we take the number 612,070,055 and divide it by 2:

612,070,055 ÷ 2 = 306,035,027.5

If the quotient is a whole number, then 2 and 306,035,027.5 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:

1 612,070,055
-1 -612,070,055

Now, we try dividing 612,070,055 by 3:

612,070,055 ÷ 3 = 204,023,351.6667

If the quotient is a whole number, then 3 and 204,023,351.6667 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:

1 612,070,055
-1 -612,070,055

Let's try dividing by 4:

612,070,055 ÷ 4 = 153,017,513.75

If the quotient is a whole number, then 4 and 153,017,513.75 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:

1 612,070,055
-1 612,070,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15712293551,1457,52916,25937,64581,295534,5591,724,1412,672,7958,620,705122,414,011612,070,055
-1-5-71-229-355-1,145-7,529-16,259-37,645-81,295-534,559-1,724,141-2,672,795-8,620,705-122,414,011-612,070,055

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