Q: What are the factor combinations of the number 964,255?

 A:
Positive:   1 x 9642555 x 19285131 x 31105155 x 6221
Negative: -1 x -964255-5 x -192851-31 x -31105-155 x -6221


How do I find the factor combinations of the number 964,255?

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 964,255, 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.

1 964,255
-1 -964,255

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 964,255.

Example:
1 x 964,255 = 964,255
and
-1 x -964,255 = 964,255
Notice both answers equal 964,255

With that explanation out of the way, let's continue. Next, we take the number 964,255 and divide it by 2:

964,255 ÷ 2 = 482,127.5

If the quotient is a whole number, then 2 and 482,127.5 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:

1 964,255
-1 -964,255

Now, we try dividing 964,255 by 3:

964,255 ÷ 3 = 321,418.3333

If the quotient is a whole number, then 3 and 321,418.3333 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:

1 964,255
-1 -964,255

Let's try dividing by 4:

964,255 ÷ 4 = 241,063.75

If the quotient is a whole number, then 4 and 241,063.75 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:

1 964,255
-1 964,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15311556,22131,105192,851964,255
-1-5-31-155-6,221-31,105-192,851-964,255

More Examples

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