Q: What are the factor combinations of the number 913,983?

 A:
Positive:   1 x 9139833 x 3046617 x 13056921 x 4352371 x 12873213 x 4291497 x 1839613 x 1491
Negative: -1 x -913983-3 x -304661-7 x -130569-21 x -43523-71 x -12873-213 x -4291-497 x -1839-613 x -1491


How do I find the factor combinations of the number 913,983?

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 913,983, 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.

1 913,983
-1 -913,983

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 913,983.

Example:
1 x 913,983 = 913,983
and
-1 x -913,983 = 913,983
Notice both answers equal 913,983

With that explanation out of the way, let's continue. Next, we take the number 913,983 and divide it by 2:

913,983 ÷ 2 = 456,991.5

If the quotient is a whole number, then 2 and 456,991.5 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:

1 913,983
-1 -913,983

Now, we try dividing 913,983 by 3:

913,983 ÷ 3 = 304,661

If the quotient is a whole number, then 3 and 304,661 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 3 304,661 913,983
-1 -3 -304,661 -913,983

Let's try dividing by 4:

913,983 ÷ 4 = 228,495.75

If the quotient is a whole number, then 4 and 228,495.75 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 3 304,661 913,983
-1 -3 -304,661 913,983
Keep dividing by the next highest number until you cannot divide anymore.

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

13721712134976131,4911,8394,29112,87343,523130,569304,661913,983
-1-3-7-21-71-213-497-613-1,491-1,839-4,291-12,873-43,523-130,569-304,661-913,983

More Examples

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