Q: What are the factor combinations of the number 118,375,445?

 A:
Positive:   1 x 1183754455 x 23675089167 x 708835835 x 141767
Negative: -1 x -118375445-5 x -23675089-167 x -708835-835 x -141767


How do I find the factor combinations of the number 118,375,445?

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 118,375,445, 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.

1 118,375,445
-1 -118,375,445

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 118,375,445.

Example:
1 x 118,375,445 = 118,375,445
and
-1 x -118,375,445 = 118,375,445
Notice both answers equal 118,375,445

With that explanation out of the way, let's continue. Next, we take the number 118,375,445 and divide it by 2:

118,375,445 ÷ 2 = 59,187,722.5

If the quotient is a whole number, then 2 and 59,187,722.5 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:

1 118,375,445
-1 -118,375,445

Now, we try dividing 118,375,445 by 3:

118,375,445 ÷ 3 = 39,458,481.6667

If the quotient is a whole number, then 3 and 39,458,481.6667 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:

1 118,375,445
-1 -118,375,445

Let's try dividing by 4:

118,375,445 ÷ 4 = 29,593,861.25

If the quotient is a whole number, then 4 and 29,593,861.25 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:

1 118,375,445
-1 118,375,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15167835141,767708,83523,675,089118,375,445
-1-5-167-835-141,767-708,835-23,675,089-118,375,445

More Examples

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