Q: What are the factor combinations of the number 862,130,059?

 A:
Positive:   1 x 8621300597 x 12316143749 x 17594491
Negative: -1 x -862130059-7 x -123161437-49 x -17594491


How do I find the factor combinations of the number 862,130,059?

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 862,130,059, 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.

1 862,130,059
-1 -862,130,059

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 862,130,059.

Example:
1 x 862,130,059 = 862,130,059
and
-1 x -862,130,059 = 862,130,059
Notice both answers equal 862,130,059

With that explanation out of the way, let's continue. Next, we take the number 862,130,059 and divide it by 2:

862,130,059 ÷ 2 = 431,065,029.5

If the quotient is a whole number, then 2 and 431,065,029.5 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:

1 862,130,059
-1 -862,130,059

Now, we try dividing 862,130,059 by 3:

862,130,059 ÷ 3 = 287,376,686.3333

If the quotient is a whole number, then 3 and 287,376,686.3333 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:

1 862,130,059
-1 -862,130,059

Let's try dividing by 4:

862,130,059 ÷ 4 = 215,532,514.75

If the quotient is a whole number, then 4 and 215,532,514.75 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:

1 862,130,059
-1 862,130,059
Keep dividing by the next highest number until you cannot divide anymore.

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

174917,594,491123,161,437862,130,059
-1-7-49-17,594,491-123,161,437-862,130,059

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 862,130,059:


Ask a Question