Q: What are the factor combinations of the number 863,645?

 A:
Positive:   1 x 8636455 x 17272919 x 4545595 x 9091
Negative: -1 x -863645-5 x -172729-19 x -45455-95 x -9091


How do I find the factor combinations of the number 863,645?

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 863,645, 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.

1 863,645
-1 -863,645

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 863,645.

Example:
1 x 863,645 = 863,645
and
-1 x -863,645 = 863,645
Notice both answers equal 863,645

With that explanation out of the way, let's continue. Next, we take the number 863,645 and divide it by 2:

863,645 ÷ 2 = 431,822.5

If the quotient is a whole number, then 2 and 431,822.5 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:

1 863,645
-1 -863,645

Now, we try dividing 863,645 by 3:

863,645 ÷ 3 = 287,881.6667

If the quotient is a whole number, then 3 and 287,881.6667 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:

1 863,645
-1 -863,645

Let's try dividing by 4:

863,645 ÷ 4 = 215,911.25

If the quotient is a whole number, then 4 and 215,911.25 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:

1 863,645
-1 863,645
Keep dividing by the next highest number until you cannot divide anymore.

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

1519959,09145,455172,729863,645
-1-5-19-95-9,091-45,455-172,729-863,645

More Examples

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