Q: What are the factor combinations of the number 108,555,251?

 A:
Positive:   1 x 1085552517 x 1550789317 x 6385603119 x 912229173 x 6274871211 x 896412941 x 369115273 x 20587
Negative: -1 x -108555251-7 x -15507893-17 x -6385603-119 x -912229-173 x -627487-1211 x -89641-2941 x -36911-5273 x -20587


How do I find the factor combinations of the number 108,555,251?

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 108,555,251, 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.

1 108,555,251
-1 -108,555,251

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 108,555,251.

Example:
1 x 108,555,251 = 108,555,251
and
-1 x -108,555,251 = 108,555,251
Notice both answers equal 108,555,251

With that explanation out of the way, let's continue. Next, we take the number 108,555,251 and divide it by 2:

108,555,251 ÷ 2 = 54,277,625.5

If the quotient is a whole number, then 2 and 54,277,625.5 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:

1 108,555,251
-1 -108,555,251

Now, we try dividing 108,555,251 by 3:

108,555,251 ÷ 3 = 36,185,083.6667

If the quotient is a whole number, then 3 and 36,185,083.6667 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:

1 108,555,251
-1 -108,555,251

Let's try dividing by 4:

108,555,251 ÷ 4 = 27,138,812.75

If the quotient is a whole number, then 4 and 27,138,812.75 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:

1 108,555,251
-1 108,555,251
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191731,2112,9415,27320,58736,91189,641627,487912,2296,385,60315,507,893108,555,251
-1-7-17-119-173-1,211-2,941-5,273-20,587-36,911-89,641-627,487-912,229-6,385,603-15,507,893-108,555,251

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