Q: What are the factor combinations of the number 864,955?

 A:
Positive:   1 x 8649555 x 1729917 x 12356513 x 6653535 x 2471365 x 1330791 x 9505455 x 1901
Negative: -1 x -864955-5 x -172991-7 x -123565-13 x -66535-35 x -24713-65 x -13307-91 x -9505-455 x -1901


How do I find the factor combinations of the number 864,955?

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 864,955, 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.

1 864,955
-1 -864,955

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 864,955.

Example:
1 x 864,955 = 864,955
and
-1 x -864,955 = 864,955
Notice both answers equal 864,955

With that explanation out of the way, let's continue. Next, we take the number 864,955 and divide it by 2:

864,955 ÷ 2 = 432,477.5

If the quotient is a whole number, then 2 and 432,477.5 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:

1 864,955
-1 -864,955

Now, we try dividing 864,955 by 3:

864,955 ÷ 3 = 288,318.3333

If the quotient is a whole number, then 3 and 288,318.3333 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:

1 864,955
-1 -864,955

Let's try dividing by 4:

864,955 ÷ 4 = 216,238.75

If the quotient is a whole number, then 4 and 216,238.75 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:

1 864,955
-1 864,955
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565914551,9019,50513,30724,71366,535123,565172,991864,955
-1-5-7-13-35-65-91-455-1,901-9,505-13,307-24,713-66,535-123,565-172,991-864,955

More Examples

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