Q: What are the factor combinations of the number 108,748,549?

 A:
Positive:   1 x 1087485497 x 1553550713 x 836527391 x 1195039
Negative: -1 x -108748549-7 x -15535507-13 x -8365273-91 x -1195039


How do I find the factor combinations of the number 108,748,549?

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 108,748,549, 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.

1 108,748,549
-1 -108,748,549

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 108,748,549.

Example:
1 x 108,748,549 = 108,748,549
and
-1 x -108,748,549 = 108,748,549
Notice both answers equal 108,748,549

With that explanation out of the way, let's continue. Next, we take the number 108,748,549 and divide it by 2:

108,748,549 ÷ 2 = 54,374,274.5

If the quotient is a whole number, then 2 and 54,374,274.5 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:

1 108,748,549
-1 -108,748,549

Now, we try dividing 108,748,549 by 3:

108,748,549 ÷ 3 = 36,249,516.3333

If the quotient is a whole number, then 3 and 36,249,516.3333 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:

1 108,748,549
-1 -108,748,549

Let's try dividing by 4:

108,748,549 ÷ 4 = 27,187,137.25

If the quotient is a whole number, then 4 and 27,187,137.25 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:

1 108,748,549
-1 108,748,549
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911,195,0398,365,27315,535,507108,748,549
-1-7-13-91-1,195,039-8,365,273-15,535,507-108,748,549

More Examples

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