Q: What are the factor combinations of the number 8,831,615?

 A:
Positive:   1 x 88316155 x 176632313 x 67935565 x 13587183 x 106405415 x 212811079 x 81851637 x 5395
Negative: -1 x -8831615-5 x -1766323-13 x -679355-65 x -135871-83 x -106405-415 x -21281-1079 x -8185-1637 x -5395


How do I find the factor combinations of the number 8,831,615?

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 8,831,615, 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 8,831,615
-1 -8,831,615

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 8,831,615.

Example:
1 x 8,831,615 = 8,831,615
and
-1 x -8,831,615 = 8,831,615
Notice both answers equal 8,831,615

With that explanation out of the way, let's continue. Next, we take the number 8,831,615 and divide it by 2:

8,831,615 ÷ 2 = 4,415,807.5

If the quotient is a whole number, then 2 and 4,415,807.5 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 8,831,615
-1 -8,831,615

Now, we try dividing 8,831,615 by 3:

8,831,615 ÷ 3 = 2,943,871.6667

If the quotient is a whole number, then 3 and 2,943,871.6667 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 8,831,615
-1 -8,831,615

Let's try dividing by 4:

8,831,615 ÷ 4 = 2,207,903.75

If the quotient is a whole number, then 4 and 2,207,903.75 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 8,831,615
-1 8,831,615
Keep dividing by the next highest number until you cannot divide anymore.

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

151365834151,0791,6375,3958,18521,281106,405135,871679,3551,766,3238,831,615
-1-5-13-65-83-415-1,079-1,637-5,395-8,185-21,281-106,405-135,871-679,355-1,766,323-8,831,615

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 8,831,615:


Ask a Question