Q: What are the factor combinations of the number 113,150,135?

 A:
Positive:   1 x 1131501355 x 226300277 x 1616430535 x 3232861103 x 1098545515 x 219709721 x 1569353605 x 31387
Negative: -1 x -113150135-5 x -22630027-7 x -16164305-35 x -3232861-103 x -1098545-515 x -219709-721 x -156935-3605 x -31387


How do I find the factor combinations of the number 113,150,135?

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 113,150,135, 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.

1 113,150,135
-1 -113,150,135

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 113,150,135.

Example:
1 x 113,150,135 = 113,150,135
and
-1 x -113,150,135 = 113,150,135
Notice both answers equal 113,150,135

With that explanation out of the way, let's continue. Next, we take the number 113,150,135 and divide it by 2:

113,150,135 ÷ 2 = 56,575,067.5

If the quotient is a whole number, then 2 and 56,575,067.5 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:

1 113,150,135
-1 -113,150,135

Now, we try dividing 113,150,135 by 3:

113,150,135 ÷ 3 = 37,716,711.6667

If the quotient is a whole number, then 3 and 37,716,711.6667 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:

1 113,150,135
-1 -113,150,135

Let's try dividing by 4:

113,150,135 ÷ 4 = 28,287,533.75

If the quotient is a whole number, then 4 and 28,287,533.75 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:

1 113,150,135
-1 113,150,135
Keep dividing by the next highest number until you cannot divide anymore.

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

157351035157213,60531,387156,935219,7091,098,5453,232,86116,164,30522,630,027113,150,135
-1-5-7-35-103-515-721-3,605-31,387-156,935-219,709-1,098,545-3,232,861-16,164,305-22,630,027-113,150,135

More Examples

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