Q: What are the factor combinations of the number 130,757,675?

 A:
Positive:   1 x 1307576755 x 2615153525 x 5230307227 x 5760251135 x 1152055675 x 23041
Negative: -1 x -130757675-5 x -26151535-25 x -5230307-227 x -576025-1135 x -115205-5675 x -23041


How do I find the factor combinations of the number 130,757,675?

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 130,757,675, 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.

1 130,757,675
-1 -130,757,675

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 130,757,675.

Example:
1 x 130,757,675 = 130,757,675
and
-1 x -130,757,675 = 130,757,675
Notice both answers equal 130,757,675

With that explanation out of the way, let's continue. Next, we take the number 130,757,675 and divide it by 2:

130,757,675 ÷ 2 = 65,378,837.5

If the quotient is a whole number, then 2 and 65,378,837.5 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:

1 130,757,675
-1 -130,757,675

Now, we try dividing 130,757,675 by 3:

130,757,675 ÷ 3 = 43,585,891.6667

If the quotient is a whole number, then 3 and 43,585,891.6667 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:

1 130,757,675
-1 -130,757,675

Let's try dividing by 4:

130,757,675 ÷ 4 = 32,689,418.75

If the quotient is a whole number, then 4 and 32,689,418.75 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:

1 130,757,675
-1 130,757,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15252271,1355,67523,041115,205576,0255,230,30726,151,535130,757,675
-1-5-25-227-1,135-5,675-23,041-115,205-576,025-5,230,307-26,151,535-130,757,675

More Examples

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