Q: What are the factor combinations of the number 231,246,557?

 A:
Positive:   1 x 231246557199 x 1162043
Negative: -1 x -231246557-199 x -1162043


How do I find the factor combinations of the number 231,246,557?

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 231,246,557, 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.

1 231,246,557
-1 -231,246,557

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 231,246,557.

Example:
1 x 231,246,557 = 231,246,557
and
-1 x -231,246,557 = 231,246,557
Notice both answers equal 231,246,557

With that explanation out of the way, let's continue. Next, we take the number 231,246,557 and divide it by 2:

231,246,557 ÷ 2 = 115,623,278.5

If the quotient is a whole number, then 2 and 115,623,278.5 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:

1 231,246,557
-1 -231,246,557

Now, we try dividing 231,246,557 by 3:

231,246,557 ÷ 3 = 77,082,185.6667

If the quotient is a whole number, then 3 and 77,082,185.6667 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:

1 231,246,557
-1 -231,246,557

Let's try dividing by 4:

231,246,557 ÷ 4 = 57,811,639.25

If the quotient is a whole number, then 4 and 57,811,639.25 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:

1 231,246,557
-1 231,246,557
Keep dividing by the next highest number until you cannot divide anymore.

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

11991,162,043231,246,557
-1-199-1,162,043-231,246,557

More Examples

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