Q: What are the factor combinations of the number 713,110,835?

 A:
Positive:   1 x 7131108355 x 142622167
Negative: -1 x -713110835-5 x -142622167


How do I find the factor combinations of the number 713,110,835?

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 713,110,835, 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.

1 713,110,835
-1 -713,110,835

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 713,110,835.

Example:
1 x 713,110,835 = 713,110,835
and
-1 x -713,110,835 = 713,110,835
Notice both answers equal 713,110,835

With that explanation out of the way, let's continue. Next, we take the number 713,110,835 and divide it by 2:

713,110,835 ÷ 2 = 356,555,417.5

If the quotient is a whole number, then 2 and 356,555,417.5 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:

1 713,110,835
-1 -713,110,835

Now, we try dividing 713,110,835 by 3:

713,110,835 ÷ 3 = 237,703,611.6667

If the quotient is a whole number, then 3 and 237,703,611.6667 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:

1 713,110,835
-1 -713,110,835

Let's try dividing by 4:

713,110,835 ÷ 4 = 178,277,708.75

If the quotient is a whole number, then 4 and 178,277,708.75 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:

1 713,110,835
-1 713,110,835
Keep dividing by the next highest number until you cannot divide anymore.

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

15142,622,167713,110,835
-1-5-142,622,167-713,110,835

More Examples

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