Q: What are the factor combinations of the number 130,332,355?

 A:
Positive:   1 x 1303323555 x 2606647143 x 3030985163 x 799585215 x 606197815 x 1599173719 x 350457009 x 18595
Negative: -1 x -130332355-5 x -26066471-43 x -3030985-163 x -799585-215 x -606197-815 x -159917-3719 x -35045-7009 x -18595


How do I find the factor combinations of the number 130,332,355?

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 130,332,355, 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.

1 130,332,355
-1 -130,332,355

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 130,332,355.

Example:
1 x 130,332,355 = 130,332,355
and
-1 x -130,332,355 = 130,332,355
Notice both answers equal 130,332,355

With that explanation out of the way, let's continue. Next, we take the number 130,332,355 and divide it by 2:

130,332,355 ÷ 2 = 65,166,177.5

If the quotient is a whole number, then 2 and 65,166,177.5 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:

1 130,332,355
-1 -130,332,355

Now, we try dividing 130,332,355 by 3:

130,332,355 ÷ 3 = 43,444,118.3333

If the quotient is a whole number, then 3 and 43,444,118.3333 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:

1 130,332,355
-1 -130,332,355

Let's try dividing by 4:

130,332,355 ÷ 4 = 32,583,088.75

If the quotient is a whole number, then 4 and 32,583,088.75 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:

1 130,332,355
-1 130,332,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15431632158153,7197,00918,59535,045159,917606,197799,5853,030,98526,066,471130,332,355
-1-5-43-163-215-815-3,719-7,009-18,595-35,045-159,917-606,197-799,585-3,030,985-26,066,471-130,332,355

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