Q: What are the factor combinations of the number 713,230,157?

 A:
Positive:   1 x 713230157461 x 1547137593 x 12027492609 x 273373
Negative: -1 x -713230157-461 x -1547137-593 x -1202749-2609 x -273373


How do I find the factor combinations of the number 713,230,157?

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 713,230,157, 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.

1 713,230,157
-1 -713,230,157

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 713,230,157.

Example:
1 x 713,230,157 = 713,230,157
and
-1 x -713,230,157 = 713,230,157
Notice both answers equal 713,230,157

With that explanation out of the way, let's continue. Next, we take the number 713,230,157 and divide it by 2:

713,230,157 ÷ 2 = 356,615,078.5

If the quotient is a whole number, then 2 and 356,615,078.5 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:

1 713,230,157
-1 -713,230,157

Now, we try dividing 713,230,157 by 3:

713,230,157 ÷ 3 = 237,743,385.6667

If the quotient is a whole number, then 3 and 237,743,385.6667 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:

1 713,230,157
-1 -713,230,157

Let's try dividing by 4:

713,230,157 ÷ 4 = 178,307,539.25

If the quotient is a whole number, then 4 and 178,307,539.25 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:

1 713,230,157
-1 713,230,157
Keep dividing by the next highest number until you cannot divide anymore.

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

14615932,609273,3731,202,7491,547,137713,230,157
-1-461-593-2,609-273,373-1,202,749-1,547,137-713,230,157

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