Q: What are the factor combinations of the number 995,659?

 A:
Positive:   1 x 9956597 x 142237
Negative: -1 x -995659-7 x -142237


How do I find the factor combinations of the number 995,659?

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 995,659, 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.

1 995,659
-1 -995,659

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 995,659.

Example:
1 x 995,659 = 995,659
and
-1 x -995,659 = 995,659
Notice both answers equal 995,659

With that explanation out of the way, let's continue. Next, we take the number 995,659 and divide it by 2:

995,659 ÷ 2 = 497,829.5

If the quotient is a whole number, then 2 and 497,829.5 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:

1 995,659
-1 -995,659

Now, we try dividing 995,659 by 3:

995,659 ÷ 3 = 331,886.3333

If the quotient is a whole number, then 3 and 331,886.3333 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:

1 995,659
-1 -995,659

Let's try dividing by 4:

995,659 ÷ 4 = 248,914.75

If the quotient is a whole number, then 4 and 248,914.75 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:

1 995,659
-1 995,659
Keep dividing by the next highest number until you cannot divide anymore.

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

17142,237995,659
-1-7-142,237-995,659

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 995,659:


Ask a Question