Q: What are the factor combinations of the number 113,022,425?

 A:
Positive:   1 x 1130224255 x 2260448525 x 452089729 x 3897325145 x 779465725 x 155893
Negative: -1 x -113022425-5 x -22604485-25 x -4520897-29 x -3897325-145 x -779465-725 x -155893


How do I find the factor combinations of the number 113,022,425?

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 113,022,425, 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.

1 113,022,425
-1 -113,022,425

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 113,022,425.

Example:
1 x 113,022,425 = 113,022,425
and
-1 x -113,022,425 = 113,022,425
Notice both answers equal 113,022,425

With that explanation out of the way, let's continue. Next, we take the number 113,022,425 and divide it by 2:

113,022,425 ÷ 2 = 56,511,212.5

If the quotient is a whole number, then 2 and 56,511,212.5 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:

1 113,022,425
-1 -113,022,425

Now, we try dividing 113,022,425 by 3:

113,022,425 ÷ 3 = 37,674,141.6667

If the quotient is a whole number, then 3 and 37,674,141.6667 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:

1 113,022,425
-1 -113,022,425

Let's try dividing by 4:

113,022,425 ÷ 4 = 28,255,606.25

If the quotient is a whole number, then 4 and 28,255,606.25 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:

1 113,022,425
-1 113,022,425
Keep dividing by the next highest number until you cannot divide anymore.

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

152529145725155,893779,4653,897,3254,520,89722,604,485113,022,425
-1-5-25-29-145-725-155,893-779,465-3,897,325-4,520,897-22,604,485-113,022,425

More Examples

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