Q: What are the factor combinations of the number 985,955?

 A:
Positive:   1 x 9859555 x 19719131 x 31805155 x 6361
Negative: -1 x -985955-5 x -197191-31 x -31805-155 x -6361


How do I find the factor combinations of the number 985,955?

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 985,955, 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.

1 985,955
-1 -985,955

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 985,955.

Example:
1 x 985,955 = 985,955
and
-1 x -985,955 = 985,955
Notice both answers equal 985,955

With that explanation out of the way, let's continue. Next, we take the number 985,955 and divide it by 2:

985,955 ÷ 2 = 492,977.5

If the quotient is a whole number, then 2 and 492,977.5 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:

1 985,955
-1 -985,955

Now, we try dividing 985,955 by 3:

985,955 ÷ 3 = 328,651.6667

If the quotient is a whole number, then 3 and 328,651.6667 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:

1 985,955
-1 -985,955

Let's try dividing by 4:

985,955 ÷ 4 = 246,488.75

If the quotient is a whole number, then 4 and 246,488.75 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:

1 985,955
-1 985,955
Keep dividing by the next highest number until you cannot divide anymore.

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

15311556,36131,805197,191985,955
-1-5-31-155-6,361-31,805-197,191-985,955

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 985,955:


Ask a Question