Q: What are the factor combinations of the number 5,370,499?

 A:
Positive:   1 x 537049979 x 67981157 x 34207433 x 12403
Negative: -1 x -5370499-79 x -67981-157 x -34207-433 x -12403


How do I find the factor combinations of the number 5,370,499?

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 5,370,499, 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 5,370,499
-1 -5,370,499

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 5,370,499.

Example:
1 x 5,370,499 = 5,370,499
and
-1 x -5,370,499 = 5,370,499
Notice both answers equal 5,370,499

With that explanation out of the way, let's continue. Next, we take the number 5,370,499 and divide it by 2:

5,370,499 ÷ 2 = 2,685,249.5

If the quotient is a whole number, then 2 and 2,685,249.5 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 5,370,499
-1 -5,370,499

Now, we try dividing 5,370,499 by 3:

5,370,499 ÷ 3 = 1,790,166.3333

If the quotient is a whole number, then 3 and 1,790,166.3333 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 5,370,499
-1 -5,370,499

Let's try dividing by 4:

5,370,499 ÷ 4 = 1,342,624.75

If the quotient is a whole number, then 4 and 1,342,624.75 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 5,370,499
-1 5,370,499
Keep dividing by the next highest number until you cannot divide anymore.

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

17915743312,40334,20767,9815,370,499
-1-79-157-433-12,403-34,207-67,981-5,370,499

More Examples

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