Q: What are the factor combinations of the number 716,562,055?

 A:
Positive:   1 x 7165620555 x 14331241111 x 6514200531 x 2311490555 x 13028401155 x 4622981341 x 21013551705 x 420271
Negative: -1 x -716562055-5 x -143312411-11 x -65142005-31 x -23114905-55 x -13028401-155 x -4622981-341 x -2101355-1705 x -420271


How do I find the factor combinations of the number 716,562,055?

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 716,562,055, 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.

1 716,562,055
-1 -716,562,055

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 716,562,055.

Example:
1 x 716,562,055 = 716,562,055
and
-1 x -716,562,055 = 716,562,055
Notice both answers equal 716,562,055

With that explanation out of the way, let's continue. Next, we take the number 716,562,055 and divide it by 2:

716,562,055 ÷ 2 = 358,281,027.5

If the quotient is a whole number, then 2 and 358,281,027.5 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:

1 716,562,055
-1 -716,562,055

Now, we try dividing 716,562,055 by 3:

716,562,055 ÷ 3 = 238,854,018.3333

If the quotient is a whole number, then 3 and 238,854,018.3333 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:

1 716,562,055
-1 -716,562,055

Let's try dividing by 4:

716,562,055 ÷ 4 = 179,140,513.75

If the quotient is a whole number, then 4 and 179,140,513.75 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:

1 716,562,055
-1 716,562,055
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551553411,705420,2712,101,3554,622,98113,028,40123,114,90565,142,005143,312,411716,562,055
-1-5-11-31-55-155-341-1,705-420,271-2,101,355-4,622,981-13,028,401-23,114,905-65,142,005-143,312,411-716,562,055

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