Q: What are the factor combinations of the number 130,153,567?

 A:
Positive:   1 x 130153567233 x 558599
Negative: -1 x -130153567-233 x -558599


How do I find the factor combinations of the number 130,153,567?

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 130,153,567, 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.

1 130,153,567
-1 -130,153,567

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 130,153,567.

Example:
1 x 130,153,567 = 130,153,567
and
-1 x -130,153,567 = 130,153,567
Notice both answers equal 130,153,567

With that explanation out of the way, let's continue. Next, we take the number 130,153,567 and divide it by 2:

130,153,567 ÷ 2 = 65,076,783.5

If the quotient is a whole number, then 2 and 65,076,783.5 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:

1 130,153,567
-1 -130,153,567

Now, we try dividing 130,153,567 by 3:

130,153,567 ÷ 3 = 43,384,522.3333

If the quotient is a whole number, then 3 and 43,384,522.3333 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:

1 130,153,567
-1 -130,153,567

Let's try dividing by 4:

130,153,567 ÷ 4 = 32,538,391.75

If the quotient is a whole number, then 4 and 32,538,391.75 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:

1 130,153,567
-1 130,153,567
Keep dividing by the next highest number until you cannot divide anymore.

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

1233558,599130,153,567
-1-233-558,599-130,153,567

More Examples

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