Q: What are the factor combinations of the number 646,955?

 A:
Positive:   1 x 6469555 x 12939147 x 13765235 x 2753
Negative: -1 x -646955-5 x -129391-47 x -13765-235 x -2753


How do I find the factor combinations of the number 646,955?

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 646,955, 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.

1 646,955
-1 -646,955

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 646,955.

Example:
1 x 646,955 = 646,955
and
-1 x -646,955 = 646,955
Notice both answers equal 646,955

With that explanation out of the way, let's continue. Next, we take the number 646,955 and divide it by 2:

646,955 ÷ 2 = 323,477.5

If the quotient is a whole number, then 2 and 323,477.5 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:

1 646,955
-1 -646,955

Now, we try dividing 646,955 by 3:

646,955 ÷ 3 = 215,651.6667

If the quotient is a whole number, then 3 and 215,651.6667 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:

1 646,955
-1 -646,955

Let's try dividing by 4:

646,955 ÷ 4 = 161,738.75

If the quotient is a whole number, then 4 and 161,738.75 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:

1 646,955
-1 646,955
Keep dividing by the next highest number until you cannot divide anymore.

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

15472352,75313,765129,391646,955
-1-5-47-235-2,753-13,765-129,391-646,955

More Examples

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