Q: What are the factor combinations of the number 87,122,815?

 A:
Positive:   1 x 871228155 x 1742456313 x 670175529 x 300423565 x 1340351145 x 600847377 x 2310951885 x 46219
Negative: -1 x -87122815-5 x -17424563-13 x -6701755-29 x -3004235-65 x -1340351-145 x -600847-377 x -231095-1885 x -46219


How do I find the factor combinations of the number 87,122,815?

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 87,122,815, 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 87,122,815
-1 -87,122,815

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 87,122,815.

Example:
1 x 87,122,815 = 87,122,815
and
-1 x -87,122,815 = 87,122,815
Notice both answers equal 87,122,815

With that explanation out of the way, let's continue. Next, we take the number 87,122,815 and divide it by 2:

87,122,815 ÷ 2 = 43,561,407.5

If the quotient is a whole number, then 2 and 43,561,407.5 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 87,122,815
-1 -87,122,815

Now, we try dividing 87,122,815 by 3:

87,122,815 ÷ 3 = 29,040,938.3333

If the quotient is a whole number, then 3 and 29,040,938.3333 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 87,122,815
-1 -87,122,815

Let's try dividing by 4:

87,122,815 ÷ 4 = 21,780,703.75

If the quotient is a whole number, then 4 and 21,780,703.75 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 87,122,815
-1 87,122,815
Keep dividing by the next highest number until you cannot divide anymore.

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

151329651453771,88546,219231,095600,8471,340,3513,004,2356,701,75517,424,56387,122,815
-1-5-13-29-65-145-377-1,885-46,219-231,095-600,847-1,340,351-3,004,235-6,701,755-17,424,563-87,122,815

More Examples

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