Q: What are the factor combinations of the number 130,044,245?

 A:
Positive:   1 x 1300442455 x 2600884953 x 2453665265 x 490733
Negative: -1 x -130044245-5 x -26008849-53 x -2453665-265 x -490733


How do I find the factor combinations of the number 130,044,245?

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 130,044,245, 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.

1 130,044,245
-1 -130,044,245

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 130,044,245.

Example:
1 x 130,044,245 = 130,044,245
and
-1 x -130,044,245 = 130,044,245
Notice both answers equal 130,044,245

With that explanation out of the way, let's continue. Next, we take the number 130,044,245 and divide it by 2:

130,044,245 ÷ 2 = 65,022,122.5

If the quotient is a whole number, then 2 and 65,022,122.5 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:

1 130,044,245
-1 -130,044,245

Now, we try dividing 130,044,245 by 3:

130,044,245 ÷ 3 = 43,348,081.6667

If the quotient is a whole number, then 3 and 43,348,081.6667 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:

1 130,044,245
-1 -130,044,245

Let's try dividing by 4:

130,044,245 ÷ 4 = 32,511,061.25

If the quotient is a whole number, then 4 and 32,511,061.25 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:

1 130,044,245
-1 130,044,245
Keep dividing by the next highest number until you cannot divide anymore.

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

1553265490,7332,453,66526,008,849130,044,245
-1-5-53-265-490,733-2,453,665-26,008,849-130,044,245

More Examples

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