Q: What are the factor combinations of the number 12,422,429?

 A:
Positive:   1 x 1242242947 x 264307113 x 1099332339 x 5311
Negative: -1 x -12422429-47 x -264307-113 x -109933-2339 x -5311


How do I find the factor combinations of the number 12,422,429?

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 12,422,429, 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 12,422,429
-1 -12,422,429

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 12,422,429.

Example:
1 x 12,422,429 = 12,422,429
and
-1 x -12,422,429 = 12,422,429
Notice both answers equal 12,422,429

With that explanation out of the way, let's continue. Next, we take the number 12,422,429 and divide it by 2:

12,422,429 ÷ 2 = 6,211,214.5

If the quotient is a whole number, then 2 and 6,211,214.5 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 12,422,429
-1 -12,422,429

Now, we try dividing 12,422,429 by 3:

12,422,429 ÷ 3 = 4,140,809.6667

If the quotient is a whole number, then 3 and 4,140,809.6667 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 12,422,429
-1 -12,422,429

Let's try dividing by 4:

12,422,429 ÷ 4 = 3,105,607.25

If the quotient is a whole number, then 4 and 3,105,607.25 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 12,422,429
-1 12,422,429
Keep dividing by the next highest number until you cannot divide anymore.

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

1471132,3395,311109,933264,30712,422,429
-1-47-113-2,339-5,311-109,933-264,307-12,422,429

More Examples

Here are some more numbers to try:

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