Q: What are the factor combinations of the number 108,346,537?

 A:
Positive:   1 x 10834653713 x 833434923 x 4710719299 x 362363
Negative: -1 x -108346537-13 x -8334349-23 x -4710719-299 x -362363


How do I find the factor combinations of the number 108,346,537?

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 108,346,537, 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.

1 108,346,537
-1 -108,346,537

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 108,346,537.

Example:
1 x 108,346,537 = 108,346,537
and
-1 x -108,346,537 = 108,346,537
Notice both answers equal 108,346,537

With that explanation out of the way, let's continue. Next, we take the number 108,346,537 and divide it by 2:

108,346,537 ÷ 2 = 54,173,268.5

If the quotient is a whole number, then 2 and 54,173,268.5 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:

1 108,346,537
-1 -108,346,537

Now, we try dividing 108,346,537 by 3:

108,346,537 ÷ 3 = 36,115,512.3333

If the quotient is a whole number, then 3 and 36,115,512.3333 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:

1 108,346,537
-1 -108,346,537

Let's try dividing by 4:

108,346,537 ÷ 4 = 27,086,634.25

If the quotient is a whole number, then 4 and 27,086,634.25 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:

1 108,346,537
-1 108,346,537
Keep dividing by the next highest number until you cannot divide anymore.

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

11323299362,3634,710,7198,334,349108,346,537
-1-13-23-299-362,363-4,710,719-8,334,349-108,346,537

More Examples

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