Q: What are the factor combinations of the number 860,377?

 A:
Positive:   1 x 8603777 x 12291119 x 45283133 x 6469
Negative: -1 x -860377-7 x -122911-19 x -45283-133 x -6469


How do I find the factor combinations of the number 860,377?

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 860,377, 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.

1 860,377
-1 -860,377

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 860,377.

Example:
1 x 860,377 = 860,377
and
-1 x -860,377 = 860,377
Notice both answers equal 860,377

With that explanation out of the way, let's continue. Next, we take the number 860,377 and divide it by 2:

860,377 ÷ 2 = 430,188.5

If the quotient is a whole number, then 2 and 430,188.5 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:

1 860,377
-1 -860,377

Now, we try dividing 860,377 by 3:

860,377 ÷ 3 = 286,792.3333

If the quotient is a whole number, then 3 and 286,792.3333 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:

1 860,377
-1 -860,377

Let's try dividing by 4:

860,377 ÷ 4 = 215,094.25

If the quotient is a whole number, then 4 and 215,094.25 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:

1 860,377
-1 860,377
Keep dividing by the next highest number until you cannot divide anymore.

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

17191336,46945,283122,911860,377
-1-7-19-133-6,469-45,283-122,911-860,377

More Examples

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