Q: What are the factor combinations of the number 22,712,431?

 A:
Positive:   1 x 227124317 x 324463323 x 98749749 x 463519161 x 141071343 x 662171127 x 201532879 x 7889
Negative: -1 x -22712431-7 x -3244633-23 x -987497-49 x -463519-161 x -141071-343 x -66217-1127 x -20153-2879 x -7889


How do I find the factor combinations of the number 22,712,431?

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 22,712,431, 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 22,712,431
-1 -22,712,431

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 22,712,431.

Example:
1 x 22,712,431 = 22,712,431
and
-1 x -22,712,431 = 22,712,431
Notice both answers equal 22,712,431

With that explanation out of the way, let's continue. Next, we take the number 22,712,431 and divide it by 2:

22,712,431 ÷ 2 = 11,356,215.5

If the quotient is a whole number, then 2 and 11,356,215.5 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 22,712,431
-1 -22,712,431

Now, we try dividing 22,712,431 by 3:

22,712,431 ÷ 3 = 7,570,810.3333

If the quotient is a whole number, then 3 and 7,570,810.3333 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 22,712,431
-1 -22,712,431

Let's try dividing by 4:

22,712,431 ÷ 4 = 5,678,107.75

If the quotient is a whole number, then 4 and 5,678,107.75 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 22,712,431
-1 22,712,431
Keep dividing by the next highest number until you cannot divide anymore.

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

1723491613431,1272,8797,88920,15366,217141,071463,519987,4973,244,63322,712,431
-1-7-23-49-161-343-1,127-2,879-7,889-20,153-66,217-141,071-463,519-987,497-3,244,633-22,712,431

More Examples

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