Q: What are the factor combinations of the number 862,673,551?

 A:
Positive:   1 x 86267355117 x 507455032131 x 40482123813 x 36227
Negative: -1 x -862673551-17 x -50745503-2131 x -404821-23813 x -36227


How do I find the factor combinations of the number 862,673,551?

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 862,673,551, 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.

1 862,673,551
-1 -862,673,551

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 862,673,551.

Example:
1 x 862,673,551 = 862,673,551
and
-1 x -862,673,551 = 862,673,551
Notice both answers equal 862,673,551

With that explanation out of the way, let's continue. Next, we take the number 862,673,551 and divide it by 2:

862,673,551 ÷ 2 = 431,336,775.5

If the quotient is a whole number, then 2 and 431,336,775.5 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:

1 862,673,551
-1 -862,673,551

Now, we try dividing 862,673,551 by 3:

862,673,551 ÷ 3 = 287,557,850.3333

If the quotient is a whole number, then 3 and 287,557,850.3333 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:

1 862,673,551
-1 -862,673,551

Let's try dividing by 4:

862,673,551 ÷ 4 = 215,668,387.75

If the quotient is a whole number, then 4 and 215,668,387.75 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:

1 862,673,551
-1 862,673,551
Keep dividing by the next highest number until you cannot divide anymore.

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

1172,13123,81336,227404,82150,745,503862,673,551
-1-17-2,131-23,813-36,227-404,821-50,745,503-862,673,551

More Examples

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