Q: What are the factor combinations of the number 112,300,315?

 A:
Positive:   1 x 1123003155 x 224600631039 x 1080855195 x 21617
Negative: -1 x -112300315-5 x -22460063-1039 x -108085-5195 x -21617


How do I find the factor combinations of the number 112,300,315?

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 112,300,315, 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.

1 112,300,315
-1 -112,300,315

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 112,300,315.

Example:
1 x 112,300,315 = 112,300,315
and
-1 x -112,300,315 = 112,300,315
Notice both answers equal 112,300,315

With that explanation out of the way, let's continue. Next, we take the number 112,300,315 and divide it by 2:

112,300,315 ÷ 2 = 56,150,157.5

If the quotient is a whole number, then 2 and 56,150,157.5 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:

1 112,300,315
-1 -112,300,315

Now, we try dividing 112,300,315 by 3:

112,300,315 ÷ 3 = 37,433,438.3333

If the quotient is a whole number, then 3 and 37,433,438.3333 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:

1 112,300,315
-1 -112,300,315

Let's try dividing by 4:

112,300,315 ÷ 4 = 28,075,078.75

If the quotient is a whole number, then 4 and 28,075,078.75 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:

1 112,300,315
-1 112,300,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151,0395,19521,617108,08522,460,063112,300,315
-1-5-1,039-5,195-21,617-108,085-22,460,063-112,300,315

More Examples

Here are some more numbers to try:

112,300,313112,300,314112,300,316112,300,317
Try the factor calculator

Explore more about the number 112,300,315:


Ask a Question