Q: What are the factor combinations of the number 113,134,231?

 A:
Positive:   1 x 1131342317 x 16162033181 x 6250511267 x 89293
Negative: -1 x -113134231-7 x -16162033-181 x -625051-1267 x -89293


How do I find the factor combinations of the number 113,134,231?

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 113,134,231, 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.

1 113,134,231
-1 -113,134,231

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 113,134,231.

Example:
1 x 113,134,231 = 113,134,231
and
-1 x -113,134,231 = 113,134,231
Notice both answers equal 113,134,231

With that explanation out of the way, let's continue. Next, we take the number 113,134,231 and divide it by 2:

113,134,231 ÷ 2 = 56,567,115.5

If the quotient is a whole number, then 2 and 56,567,115.5 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:

1 113,134,231
-1 -113,134,231

Now, we try dividing 113,134,231 by 3:

113,134,231 ÷ 3 = 37,711,410.3333

If the quotient is a whole number, then 3 and 37,711,410.3333 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:

1 113,134,231
-1 -113,134,231

Let's try dividing by 4:

113,134,231 ÷ 4 = 28,283,557.75

If the quotient is a whole number, then 4 and 28,283,557.75 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:

1 113,134,231
-1 113,134,231
Keep dividing by the next highest number until you cannot divide anymore.

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

171811,26789,293625,05116,162,033113,134,231
-1-7-181-1,267-89,293-625,051-16,162,033-113,134,231

More Examples

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