Q: What are the factor combinations of the number 87,633,521?

 A:
Positive:   1 x 8763352117 x 515491347 x 186454367 x 1307963799 x 1096791139 x 769391637 x 535333149 x 27829
Negative: -1 x -87633521-17 x -5154913-47 x -1864543-67 x -1307963-799 x -109679-1139 x -76939-1637 x -53533-3149 x -27829


How do I find the factor combinations of the number 87,633,521?

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 87,633,521, 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 87,633,521
-1 -87,633,521

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 87,633,521.

Example:
1 x 87,633,521 = 87,633,521
and
-1 x -87,633,521 = 87,633,521
Notice both answers equal 87,633,521

With that explanation out of the way, let's continue. Next, we take the number 87,633,521 and divide it by 2:

87,633,521 ÷ 2 = 43,816,760.5

If the quotient is a whole number, then 2 and 43,816,760.5 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 87,633,521
-1 -87,633,521

Now, we try dividing 87,633,521 by 3:

87,633,521 ÷ 3 = 29,211,173.6667

If the quotient is a whole number, then 3 and 29,211,173.6667 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 87,633,521
-1 -87,633,521

Let's try dividing by 4:

87,633,521 ÷ 4 = 21,908,380.25

If the quotient is a whole number, then 4 and 21,908,380.25 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 87,633,521
-1 87,633,521
Keep dividing by the next highest number until you cannot divide anymore.

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

11747677991,1391,6373,14927,82953,53376,939109,6791,307,9631,864,5435,154,91387,633,521
-1-17-47-67-799-1,139-1,637-3,149-27,829-53,533-76,939-109,679-1,307,963-1,864,543-5,154,913-87,633,521

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