Q: What are the factor combinations of the number 862,274,675?

 A:
Positive:   1 x 8622746755 x 17245493525 x 3449098759 x 14614825295 x 29229651475 x 584593
Negative: -1 x -862274675-5 x -172454935-25 x -34490987-59 x -14614825-295 x -2922965-1475 x -584593


How do I find the factor combinations of the number 862,274,675?

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 862,274,675, 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.

1 862,274,675
-1 -862,274,675

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 862,274,675.

Example:
1 x 862,274,675 = 862,274,675
and
-1 x -862,274,675 = 862,274,675
Notice both answers equal 862,274,675

With that explanation out of the way, let's continue. Next, we take the number 862,274,675 and divide it by 2:

862,274,675 ÷ 2 = 431,137,337.5

If the quotient is a whole number, then 2 and 431,137,337.5 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:

1 862,274,675
-1 -862,274,675

Now, we try dividing 862,274,675 by 3:

862,274,675 ÷ 3 = 287,424,891.6667

If the quotient is a whole number, then 3 and 287,424,891.6667 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:

1 862,274,675
-1 -862,274,675

Let's try dividing by 4:

862,274,675 ÷ 4 = 215,568,668.75

If the quotient is a whole number, then 4 and 215,568,668.75 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:

1 862,274,675
-1 862,274,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1525592951,475584,5932,922,96514,614,82534,490,987172,454,935862,274,675
-1-5-25-59-295-1,475-584,593-2,922,965-14,614,825-34,490,987-172,454,935-862,274,675

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