Q: What are the factor combinations of the number 8,739,815?

 A:
Positive:   1 x 87398155 x 17479637 x 124854535 x 24970967 x 130445335 x 26089469 x 186352345 x 3727
Negative: -1 x -8739815-5 x -1747963-7 x -1248545-35 x -249709-67 x -130445-335 x -26089-469 x -18635-2345 x -3727


How do I find the factor combinations of the number 8,739,815?

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 8,739,815, 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 8,739,815
-1 -8,739,815

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 8,739,815.

Example:
1 x 8,739,815 = 8,739,815
and
-1 x -8,739,815 = 8,739,815
Notice both answers equal 8,739,815

With that explanation out of the way, let's continue. Next, we take the number 8,739,815 and divide it by 2:

8,739,815 ÷ 2 = 4,369,907.5

If the quotient is a whole number, then 2 and 4,369,907.5 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 8,739,815
-1 -8,739,815

Now, we try dividing 8,739,815 by 3:

8,739,815 ÷ 3 = 2,913,271.6667

If the quotient is a whole number, then 3 and 2,913,271.6667 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 8,739,815
-1 -8,739,815

Let's try dividing by 4:

8,739,815 ÷ 4 = 2,184,953.75

If the quotient is a whole number, then 4 and 2,184,953.75 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 8,739,815
-1 8,739,815
Keep dividing by the next highest number until you cannot divide anymore.

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

15735673354692,3453,72718,63526,089130,445249,7091,248,5451,747,9638,739,815
-1-5-7-35-67-335-469-2,345-3,727-18,635-26,089-130,445-249,709-1,248,545-1,747,963-8,739,815

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