Q: What are the factor combinations of the number 108,080,849?

 A:
Positive:   1 x 10808084917 x 635769731 x 348647967 x 1613147527 x 2050871139 x 948912077 x 520373061 x 35309
Negative: -1 x -108080849-17 x -6357697-31 x -3486479-67 x -1613147-527 x -205087-1139 x -94891-2077 x -52037-3061 x -35309


How do I find the factor combinations of the number 108,080,849?

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 108,080,849, 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.

1 108,080,849
-1 -108,080,849

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 108,080,849.

Example:
1 x 108,080,849 = 108,080,849
and
-1 x -108,080,849 = 108,080,849
Notice both answers equal 108,080,849

With that explanation out of the way, let's continue. Next, we take the number 108,080,849 and divide it by 2:

108,080,849 ÷ 2 = 54,040,424.5

If the quotient is a whole number, then 2 and 54,040,424.5 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:

1 108,080,849
-1 -108,080,849

Now, we try dividing 108,080,849 by 3:

108,080,849 ÷ 3 = 36,026,949.6667

If the quotient is a whole number, then 3 and 36,026,949.6667 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:

1 108,080,849
-1 -108,080,849

Let's try dividing by 4:

108,080,849 ÷ 4 = 27,020,212.25

If the quotient is a whole number, then 4 and 27,020,212.25 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:

1 108,080,849
-1 108,080,849
Keep dividing by the next highest number until you cannot divide anymore.

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

11731675271,1392,0773,06135,30952,03794,891205,0871,613,1473,486,4796,357,697108,080,849
-1-17-31-67-527-1,139-2,077-3,061-35,309-52,037-94,891-205,087-1,613,147-3,486,479-6,357,697-108,080,849

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