Q: What are the factor combinations of the number 860,867?

 A:
Positive:   1 x 8608677 x 12298123 x 37429161 x 5347
Negative: -1 x -860867-7 x -122981-23 x -37429-161 x -5347


How do I find the factor combinations of the number 860,867?

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 860,867, 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.

1 860,867
-1 -860,867

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 860,867.

Example:
1 x 860,867 = 860,867
and
-1 x -860,867 = 860,867
Notice both answers equal 860,867

With that explanation out of the way, let's continue. Next, we take the number 860,867 and divide it by 2:

860,867 ÷ 2 = 430,433.5

If the quotient is a whole number, then 2 and 430,433.5 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:

1 860,867
-1 -860,867

Now, we try dividing 860,867 by 3:

860,867 ÷ 3 = 286,955.6667

If the quotient is a whole number, then 3 and 286,955.6667 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:

1 860,867
-1 -860,867

Let's try dividing by 4:

860,867 ÷ 4 = 215,216.75

If the quotient is a whole number, then 4 and 215,216.75 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:

1 860,867
-1 860,867
Keep dividing by the next highest number until you cannot divide anymore.

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

17231615,34737,429122,981860,867
-1-7-23-161-5,347-37,429-122,981-860,867

More Examples

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