Q: What are the factor combinations of the number 8,652,215?

 A:
Positive:   1 x 86522155 x 173044311 x 78656513 x 66555555 x 15731365 x 133111143 x 60505715 x 12101
Negative: -1 x -8652215-5 x -1730443-11 x -786565-13 x -665555-55 x -157313-65 x -133111-143 x -60505-715 x -12101


How do I find the factor combinations of the number 8,652,215?

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 8,652,215, 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 8,652,215
-1 -8,652,215

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 8,652,215.

Example:
1 x 8,652,215 = 8,652,215
and
-1 x -8,652,215 = 8,652,215
Notice both answers equal 8,652,215

With that explanation out of the way, let's continue. Next, we take the number 8,652,215 and divide it by 2:

8,652,215 ÷ 2 = 4,326,107.5

If the quotient is a whole number, then 2 and 4,326,107.5 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 8,652,215
-1 -8,652,215

Now, we try dividing 8,652,215 by 3:

8,652,215 ÷ 3 = 2,884,071.6667

If the quotient is a whole number, then 3 and 2,884,071.6667 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 8,652,215
-1 -8,652,215

Let's try dividing by 4:

8,652,215 ÷ 4 = 2,163,053.75

If the quotient is a whole number, then 4 and 2,163,053.75 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 8,652,215
-1 8,652,215
Keep dividing by the next highest number until you cannot divide anymore.

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

151113556514371512,10160,505133,111157,313665,555786,5651,730,4438,652,215
-1-5-11-13-55-65-143-715-12,101-60,505-133,111-157,313-665,555-786,565-1,730,443-8,652,215

More Examples

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