Q: What are the factor combinations of the number 87,057,355?

 A:
Positive:   1 x 870573555 x 174114717 x 1243676511 x 791430535 x 248735355 x 158286177 x 1130615385 x 226123
Negative: -1 x -87057355-5 x -17411471-7 x -12436765-11 x -7914305-35 x -2487353-55 x -1582861-77 x -1130615-385 x -226123


How do I find the factor combinations of the number 87,057,355?

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 87,057,355, 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 87,057,355
-1 -87,057,355

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 87,057,355.

Example:
1 x 87,057,355 = 87,057,355
and
-1 x -87,057,355 = 87,057,355
Notice both answers equal 87,057,355

With that explanation out of the way, let's continue. Next, we take the number 87,057,355 and divide it by 2:

87,057,355 ÷ 2 = 43,528,677.5

If the quotient is a whole number, then 2 and 43,528,677.5 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 87,057,355
-1 -87,057,355

Now, we try dividing 87,057,355 by 3:

87,057,355 ÷ 3 = 29,019,118.3333

If the quotient is a whole number, then 3 and 29,019,118.3333 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 87,057,355
-1 -87,057,355

Let's try dividing by 4:

87,057,355 ÷ 4 = 21,764,338.75

If the quotient is a whole number, then 4 and 21,764,338.75 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 87,057,355
-1 87,057,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385226,1231,130,6151,582,8612,487,3537,914,30512,436,76517,411,47187,057,355
-1-5-7-11-35-55-77-385-226,123-1,130,615-1,582,861-2,487,353-7,914,305-12,436,765-17,411,471-87,057,355

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