Q: What are the factor combinations of the number 13,441,441?

 A:
Positive:   1 x 1344144113 x 103395717 x 790673221 x 60821
Negative: -1 x -13441441-13 x -1033957-17 x -790673-221 x -60821


How do I find the factor combinations of the number 13,441,441?

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 13,441,441, 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 13,441,441
-1 -13,441,441

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 13,441,441.

Example:
1 x 13,441,441 = 13,441,441
and
-1 x -13,441,441 = 13,441,441
Notice both answers equal 13,441,441

With that explanation out of the way, let's continue. Next, we take the number 13,441,441 and divide it by 2:

13,441,441 ÷ 2 = 6,720,720.5

If the quotient is a whole number, then 2 and 6,720,720.5 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 13,441,441
-1 -13,441,441

Now, we try dividing 13,441,441 by 3:

13,441,441 ÷ 3 = 4,480,480.3333

If the quotient is a whole number, then 3 and 4,480,480.3333 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 13,441,441
-1 -13,441,441

Let's try dividing by 4:

13,441,441 ÷ 4 = 3,360,360.25

If the quotient is a whole number, then 4 and 3,360,360.25 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 13,441,441
-1 13,441,441
Keep dividing by the next highest number until you cannot divide anymore.

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

1131722160,821790,6731,033,95713,441,441
-1-13-17-221-60,821-790,673-1,033,957-13,441,441

More Examples

Here are some more numbers to try:

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