Q: What are the factor combinations of the number 21,443,441?

 A:
Positive:   1 x 2144344129 x 739429379 x 565791951 x 10991
Negative: -1 x -21443441-29 x -739429-379 x -56579-1951 x -10991


How do I find the factor combinations of the number 21,443,441?

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 21,443,441, 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 21,443,441
-1 -21,443,441

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 21,443,441.

Example:
1 x 21,443,441 = 21,443,441
and
-1 x -21,443,441 = 21,443,441
Notice both answers equal 21,443,441

With that explanation out of the way, let's continue. Next, we take the number 21,443,441 and divide it by 2:

21,443,441 ÷ 2 = 10,721,720.5

If the quotient is a whole number, then 2 and 10,721,720.5 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 21,443,441
-1 -21,443,441

Now, we try dividing 21,443,441 by 3:

21,443,441 ÷ 3 = 7,147,813.6667

If the quotient is a whole number, then 3 and 7,147,813.6667 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 21,443,441
-1 -21,443,441

Let's try dividing by 4:

21,443,441 ÷ 4 = 5,360,860.25

If the quotient is a whole number, then 4 and 5,360,860.25 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 21,443,441
-1 21,443,441
Keep dividing by the next highest number until you cannot divide anymore.

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

1293791,95110,99156,579739,42921,443,441
-1-29-379-1,951-10,991-56,579-739,429-21,443,441

More Examples

Here are some more numbers to try:

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