Q: What are the factor combinations of the number 118,165,525?

 A:
Positive:   1 x 1181655255 x 2363310525 x 4726621197 x 599825985 x 1199654925 x 23993
Negative: -1 x -118165525-5 x -23633105-25 x -4726621-197 x -599825-985 x -119965-4925 x -23993


How do I find the factor combinations of the number 118,165,525?

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 118,165,525, 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.

1 118,165,525
-1 -118,165,525

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 118,165,525.

Example:
1 x 118,165,525 = 118,165,525
and
-1 x -118,165,525 = 118,165,525
Notice both answers equal 118,165,525

With that explanation out of the way, let's continue. Next, we take the number 118,165,525 and divide it by 2:

118,165,525 ÷ 2 = 59,082,762.5

If the quotient is a whole number, then 2 and 59,082,762.5 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:

1 118,165,525
-1 -118,165,525

Now, we try dividing 118,165,525 by 3:

118,165,525 ÷ 3 = 39,388,508.3333

If the quotient is a whole number, then 3 and 39,388,508.3333 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:

1 118,165,525
-1 -118,165,525

Let's try dividing by 4:

118,165,525 ÷ 4 = 29,541,381.25

If the quotient is a whole number, then 4 and 29,541,381.25 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:

1 118,165,525
-1 118,165,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15251979854,92523,993119,965599,8254,726,62123,633,105118,165,525
-1-5-25-197-985-4,925-23,993-119,965-599,825-4,726,621-23,633,105-118,165,525

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