Q: What are the factor combinations of the number 118,744,355?

 A:
Positive:   1 x 1187443555 x 2374887173 x 1626635113 x 1050835365 x 325327565 x 2101672879 x 412458249 x 14395
Negative: -1 x -118744355-5 x -23748871-73 x -1626635-113 x -1050835-365 x -325327-565 x -210167-2879 x -41245-8249 x -14395


How do I find the factor combinations of the number 118,744,355?

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 118,744,355, 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.

1 118,744,355
-1 -118,744,355

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 118,744,355.

Example:
1 x 118,744,355 = 118,744,355
and
-1 x -118,744,355 = 118,744,355
Notice both answers equal 118,744,355

With that explanation out of the way, let's continue. Next, we take the number 118,744,355 and divide it by 2:

118,744,355 ÷ 2 = 59,372,177.5

If the quotient is a whole number, then 2 and 59,372,177.5 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:

1 118,744,355
-1 -118,744,355

Now, we try dividing 118,744,355 by 3:

118,744,355 ÷ 3 = 39,581,451.6667

If the quotient is a whole number, then 3 and 39,581,451.6667 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:

1 118,744,355
-1 -118,744,355

Let's try dividing by 4:

118,744,355 ÷ 4 = 29,686,088.75

If the quotient is a whole number, then 4 and 29,686,088.75 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:

1 118,744,355
-1 118,744,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15731133655652,8798,24914,39541,245210,167325,3271,050,8351,626,63523,748,871118,744,355
-1-5-73-113-365-565-2,879-8,249-14,395-41,245-210,167-325,327-1,050,835-1,626,635-23,748,871-118,744,355

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