Q: What are the factor combinations of the number 130,027,165?

 A:
Positive:   1 x 1300271655 x 2600543319 x 684353523 x 565335595 x 1368707115 x 1130671437 x 2975452185 x 59509
Negative: -1 x -130027165-5 x -26005433-19 x -6843535-23 x -5653355-95 x -1368707-115 x -1130671-437 x -297545-2185 x -59509


How do I find the factor combinations of the number 130,027,165?

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 130,027,165, 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.

1 130,027,165
-1 -130,027,165

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 130,027,165.

Example:
1 x 130,027,165 = 130,027,165
and
-1 x -130,027,165 = 130,027,165
Notice both answers equal 130,027,165

With that explanation out of the way, let's continue. Next, we take the number 130,027,165 and divide it by 2:

130,027,165 ÷ 2 = 65,013,582.5

If the quotient is a whole number, then 2 and 65,013,582.5 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:

1 130,027,165
-1 -130,027,165

Now, we try dividing 130,027,165 by 3:

130,027,165 ÷ 3 = 43,342,388.3333

If the quotient is a whole number, then 3 and 43,342,388.3333 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:

1 130,027,165
-1 -130,027,165

Let's try dividing by 4:

130,027,165 ÷ 4 = 32,506,791.25

If the quotient is a whole number, then 4 and 32,506,791.25 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:

1 130,027,165
-1 130,027,165
Keep dividing by the next highest number until you cannot divide anymore.

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

151923951154372,18559,509297,5451,130,6711,368,7075,653,3556,843,53526,005,433130,027,165
-1-5-19-23-95-115-437-2,185-59,509-297,545-1,130,671-1,368,707-5,653,355-6,843,535-26,005,433-130,027,165

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