Q: What are the factor combinations of the number 118,875,799?

 A:
Positive:   1 x 1188757997 x 1698225719 x 625662123 x 5168513133 x 893803161 x 738359437 x 2720273059 x 38861
Negative: -1 x -118875799-7 x -16982257-19 x -6256621-23 x -5168513-133 x -893803-161 x -738359-437 x -272027-3059 x -38861


How do I find the factor combinations of the number 118,875,799?

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 118,875,799, 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.

1 118,875,799
-1 -118,875,799

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 118,875,799.

Example:
1 x 118,875,799 = 118,875,799
and
-1 x -118,875,799 = 118,875,799
Notice both answers equal 118,875,799

With that explanation out of the way, let's continue. Next, we take the number 118,875,799 and divide it by 2:

118,875,799 ÷ 2 = 59,437,899.5

If the quotient is a whole number, then 2 and 59,437,899.5 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:

1 118,875,799
-1 -118,875,799

Now, we try dividing 118,875,799 by 3:

118,875,799 ÷ 3 = 39,625,266.3333

If the quotient is a whole number, then 3 and 39,625,266.3333 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:

1 118,875,799
-1 -118,875,799

Let's try dividing by 4:

118,875,799 ÷ 4 = 29,718,949.75

If the quotient is a whole number, then 4 and 29,718,949.75 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:

1 118,875,799
-1 118,875,799
Keep dividing by the next highest number until you cannot divide anymore.

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

1719231331614373,05938,861272,027738,359893,8035,168,5136,256,62116,982,257118,875,799
-1-7-19-23-133-161-437-3,059-38,861-272,027-738,359-893,803-5,168,513-6,256,621-16,982,257-118,875,799

More Examples

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