Q: What are the factor combinations of the number 12,422,305?

 A:
Positive:   1 x 124223055 x 24844617 x 177461535 x 35492397 x 128065485 x 25613679 x 182953395 x 3659
Negative: -1 x -12422305-5 x -2484461-7 x -1774615-35 x -354923-97 x -128065-485 x -25613-679 x -18295-3395 x -3659


How do I find the factor combinations of the number 12,422,305?

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 12,422,305, 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 12,422,305
-1 -12,422,305

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 12,422,305.

Example:
1 x 12,422,305 = 12,422,305
and
-1 x -12,422,305 = 12,422,305
Notice both answers equal 12,422,305

With that explanation out of the way, let's continue. Next, we take the number 12,422,305 and divide it by 2:

12,422,305 ÷ 2 = 6,211,152.5

If the quotient is a whole number, then 2 and 6,211,152.5 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 12,422,305
-1 -12,422,305

Now, we try dividing 12,422,305 by 3:

12,422,305 ÷ 3 = 4,140,768.3333

If the quotient is a whole number, then 3 and 4,140,768.3333 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 12,422,305
-1 -12,422,305

Let's try dividing by 4:

12,422,305 ÷ 4 = 3,105,576.25

If the quotient is a whole number, then 4 and 3,105,576.25 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 12,422,305
-1 12,422,305
Keep dividing by the next highest number until you cannot divide anymore.

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

15735974856793,3953,65918,29525,613128,065354,9231,774,6152,484,46112,422,305
-1-5-7-35-97-485-679-3,395-3,659-18,295-25,613-128,065-354,923-1,774,615-2,484,461-12,422,305

More Examples

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