Q: What are the factor combinations of the number 5,355,715?

 A:
Positive:   1 x 53557155 x 107114331 x 172765109 x 49135155 x 34553317 x 16895545 x 98271585 x 3379
Negative: -1 x -5355715-5 x -1071143-31 x -172765-109 x -49135-155 x -34553-317 x -16895-545 x -9827-1585 x -3379


How do I find the factor combinations of the number 5,355,715?

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 5,355,715, 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 5,355,715
-1 -5,355,715

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 5,355,715.

Example:
1 x 5,355,715 = 5,355,715
and
-1 x -5,355,715 = 5,355,715
Notice both answers equal 5,355,715

With that explanation out of the way, let's continue. Next, we take the number 5,355,715 and divide it by 2:

5,355,715 ÷ 2 = 2,677,857.5

If the quotient is a whole number, then 2 and 2,677,857.5 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 5,355,715
-1 -5,355,715

Now, we try dividing 5,355,715 by 3:

5,355,715 ÷ 3 = 1,785,238.3333

If the quotient is a whole number, then 3 and 1,785,238.3333 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 5,355,715
-1 -5,355,715

Let's try dividing by 4:

5,355,715 ÷ 4 = 1,338,928.75

If the quotient is a whole number, then 4 and 1,338,928.75 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 5,355,715
-1 5,355,715
Keep dividing by the next highest number until you cannot divide anymore.

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

15311091553175451,5853,3799,82716,89534,55349,135172,7651,071,1435,355,715
-1-5-31-109-155-317-545-1,585-3,379-9,827-16,895-34,553-49,135-172,765-1,071,143-5,355,715

More Examples

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