Q: What are the factor combinations of the number 10,321,255?

 A:
Positive:   1 x 103212555 x 20642517 x 147446535 x 294893
Negative: -1 x -10321255-5 x -2064251-7 x -1474465-35 x -294893


How do I find the factor combinations of the number 10,321,255?

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 10,321,255, 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 10,321,255
-1 -10,321,255

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 10,321,255.

Example:
1 x 10,321,255 = 10,321,255
and
-1 x -10,321,255 = 10,321,255
Notice both answers equal 10,321,255

With that explanation out of the way, let's continue. Next, we take the number 10,321,255 and divide it by 2:

10,321,255 ÷ 2 = 5,160,627.5

If the quotient is a whole number, then 2 and 5,160,627.5 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 10,321,255
-1 -10,321,255

Now, we try dividing 10,321,255 by 3:

10,321,255 ÷ 3 = 3,440,418.3333

If the quotient is a whole number, then 3 and 3,440,418.3333 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 10,321,255
-1 -10,321,255

Let's try dividing by 4:

10,321,255 ÷ 4 = 2,580,313.75

If the quotient is a whole number, then 4 and 2,580,313.75 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 10,321,255
-1 10,321,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15735294,8931,474,4652,064,25110,321,255
-1-5-7-35-294,893-1,474,465-2,064,251-10,321,255

More Examples

Here are some more numbers to try:

Try the factor calculator

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