Q: What are the factor combinations of the number 10,422,355?

 A:
Positive:   1 x 104223555 x 208447119 x 54854531 x 33620595 x 109709155 x 67241589 x 176952945 x 3539
Negative: -1 x -10422355-5 x -2084471-19 x -548545-31 x -336205-95 x -109709-155 x -67241-589 x -17695-2945 x -3539


How do I find the factor combinations of the number 10,422,355?

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 10,422,355, 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 10,422,355
-1 -10,422,355

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 10,422,355.

Example:
1 x 10,422,355 = 10,422,355
and
-1 x -10,422,355 = 10,422,355
Notice both answers equal 10,422,355

With that explanation out of the way, let's continue. Next, we take the number 10,422,355 and divide it by 2:

10,422,355 ÷ 2 = 5,211,177.5

If the quotient is a whole number, then 2 and 5,211,177.5 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 10,422,355
-1 -10,422,355

Now, we try dividing 10,422,355 by 3:

10,422,355 ÷ 3 = 3,474,118.3333

If the quotient is a whole number, then 3 and 3,474,118.3333 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 10,422,355
-1 -10,422,355

Let's try dividing by 4:

10,422,355 ÷ 4 = 2,605,588.75

If the quotient is a whole number, then 4 and 2,605,588.75 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 10,422,355
-1 10,422,355
Keep dividing by the next highest number until you cannot divide anymore.

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

151931951555892,9453,53917,69567,241109,709336,205548,5452,084,47110,422,355
-1-5-19-31-95-155-589-2,945-3,539-17,695-67,241-109,709-336,205-548,545-2,084,471-10,422,355

More Examples

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