Q: What are the factor combinations of the number 130,242,665?

 A:
Positive:   1 x 1302426655 x 260485337 x 1860609535 x 3721219421 x 3093652105 x 618732947 x 441958839 x 14735
Negative: -1 x -130242665-5 x -26048533-7 x -18606095-35 x -3721219-421 x -309365-2105 x -61873-2947 x -44195-8839 x -14735


How do I find the factor combinations of the number 130,242,665?

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 130,242,665, 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.

1 130,242,665
-1 -130,242,665

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 130,242,665.

Example:
1 x 130,242,665 = 130,242,665
and
-1 x -130,242,665 = 130,242,665
Notice both answers equal 130,242,665

With that explanation out of the way, let's continue. Next, we take the number 130,242,665 and divide it by 2:

130,242,665 ÷ 2 = 65,121,332.5

If the quotient is a whole number, then 2 and 65,121,332.5 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:

1 130,242,665
-1 -130,242,665

Now, we try dividing 130,242,665 by 3:

130,242,665 ÷ 3 = 43,414,221.6667

If the quotient is a whole number, then 3 and 43,414,221.6667 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:

1 130,242,665
-1 -130,242,665

Let's try dividing by 4:

130,242,665 ÷ 4 = 32,560,666.25

If the quotient is a whole number, then 4 and 32,560,666.25 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:

1 130,242,665
-1 130,242,665
Keep dividing by the next highest number until you cannot divide anymore.

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

157354212,1052,9478,83914,73544,19561,873309,3653,721,21918,606,09526,048,533130,242,665
-1-5-7-35-421-2,105-2,947-8,839-14,735-44,195-61,873-309,365-3,721,219-18,606,095-26,048,533-130,242,665

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