Q: What are the factor combinations of the number 22,431,143?

 A:
Positive:   1 x 224311437 x 320444917 x 1319479119 x 188497233 x 96271809 x 277271631 x 137533961 x 5663
Negative: -1 x -22431143-7 x -3204449-17 x -1319479-119 x -188497-233 x -96271-809 x -27727-1631 x -13753-3961 x -5663


How do I find the factor combinations of the number 22,431,143?

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 22,431,143, 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 22,431,143
-1 -22,431,143

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 22,431,143.

Example:
1 x 22,431,143 = 22,431,143
and
-1 x -22,431,143 = 22,431,143
Notice both answers equal 22,431,143

With that explanation out of the way, let's continue. Next, we take the number 22,431,143 and divide it by 2:

22,431,143 ÷ 2 = 11,215,571.5

If the quotient is a whole number, then 2 and 11,215,571.5 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 22,431,143
-1 -22,431,143

Now, we try dividing 22,431,143 by 3:

22,431,143 ÷ 3 = 7,477,047.6667

If the quotient is a whole number, then 3 and 7,477,047.6667 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 22,431,143
-1 -22,431,143

Let's try dividing by 4:

22,431,143 ÷ 4 = 5,607,785.75

If the quotient is a whole number, then 4 and 5,607,785.75 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 22,431,143
-1 22,431,143
Keep dividing by the next highest number until you cannot divide anymore.

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

17171192338091,6313,9615,66313,75327,72796,271188,4971,319,4793,204,44922,431,143
-1-7-17-119-233-809-1,631-3,961-5,663-13,753-27,727-96,271-188,497-1,319,479-3,204,449-22,431,143

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