Q: What are the factor combinations of the number 5,337,983?

 A:
Positive:   1 x 53379837 x 76256917 x 31399931 x 172193119 x 44857217 x 24599527 x 101291447 x 3689
Negative: -1 x -5337983-7 x -762569-17 x -313999-31 x -172193-119 x -44857-217 x -24599-527 x -10129-1447 x -3689


How do I find the factor combinations of the number 5,337,983?

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 5,337,983, 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 5,337,983
-1 -5,337,983

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 5,337,983.

Example:
1 x 5,337,983 = 5,337,983
and
-1 x -5,337,983 = 5,337,983
Notice both answers equal 5,337,983

With that explanation out of the way, let's continue. Next, we take the number 5,337,983 and divide it by 2:

5,337,983 ÷ 2 = 2,668,991.5

If the quotient is a whole number, then 2 and 2,668,991.5 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 5,337,983
-1 -5,337,983

Now, we try dividing 5,337,983 by 3:

5,337,983 ÷ 3 = 1,779,327.6667

If the quotient is a whole number, then 3 and 1,779,327.6667 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 5,337,983
-1 -5,337,983

Let's try dividing by 4:

5,337,983 ÷ 4 = 1,334,495.75

If the quotient is a whole number, then 4 and 1,334,495.75 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 5,337,983
-1 5,337,983
Keep dividing by the next highest number until you cannot divide anymore.

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

1717311192175271,4473,68910,12924,59944,857172,193313,999762,5695,337,983
-1-7-17-31-119-217-527-1,447-3,689-10,129-24,599-44,857-172,193-313,999-762,569-5,337,983

More Examples

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