Q: What are the factor combinations of the number 711,660,355?

 A:
Positive:   1 x 7116603555 x 1423320717 x 10166576535 x 20333153353 x 20160351765 x 4032072471 x 28800512355 x 57601
Negative: -1 x -711660355-5 x -142332071-7 x -101665765-35 x -20333153-353 x -2016035-1765 x -403207-2471 x -288005-12355 x -57601


How do I find the factor combinations of the number 711,660,355?

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 711,660,355, 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.

1 711,660,355
-1 -711,660,355

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 711,660,355.

Example:
1 x 711,660,355 = 711,660,355
and
-1 x -711,660,355 = 711,660,355
Notice both answers equal 711,660,355

With that explanation out of the way, let's continue. Next, we take the number 711,660,355 and divide it by 2:

711,660,355 ÷ 2 = 355,830,177.5

If the quotient is a whole number, then 2 and 355,830,177.5 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:

1 711,660,355
-1 -711,660,355

Now, we try dividing 711,660,355 by 3:

711,660,355 ÷ 3 = 237,220,118.3333

If the quotient is a whole number, then 3 and 237,220,118.3333 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:

1 711,660,355
-1 -711,660,355

Let's try dividing by 4:

711,660,355 ÷ 4 = 177,915,088.75

If the quotient is a whole number, then 4 and 177,915,088.75 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:

1 711,660,355
-1 711,660,355
Keep dividing by the next highest number until you cannot divide anymore.

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

157353531,7652,47112,35557,601288,005403,2072,016,03520,333,153101,665,765142,332,071711,660,355
-1-5-7-35-353-1,765-2,471-12,355-57,601-288,005-403,207-2,016,035-20,333,153-101,665,765-142,332,071-711,660,355

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