Q: What are the factor combinations of the number 13,240,403?

 A:
Positive:   1 x 1324040311 x 120367397 x 1364991067 x 12409
Negative: -1 x -13240403-11 x -1203673-97 x -136499-1067 x -12409


How do I find the factor combinations of the number 13,240,403?

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 13,240,403, 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 13,240,403
-1 -13,240,403

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 13,240,403.

Example:
1 x 13,240,403 = 13,240,403
and
-1 x -13,240,403 = 13,240,403
Notice both answers equal 13,240,403

With that explanation out of the way, let's continue. Next, we take the number 13,240,403 and divide it by 2:

13,240,403 ÷ 2 = 6,620,201.5

If the quotient is a whole number, then 2 and 6,620,201.5 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 13,240,403
-1 -13,240,403

Now, we try dividing 13,240,403 by 3:

13,240,403 ÷ 3 = 4,413,467.6667

If the quotient is a whole number, then 3 and 4,413,467.6667 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 13,240,403
-1 -13,240,403

Let's try dividing by 4:

13,240,403 ÷ 4 = 3,310,100.75

If the quotient is a whole number, then 4 and 3,310,100.75 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 13,240,403
-1 13,240,403
Keep dividing by the next highest number until you cannot divide anymore.

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

111971,06712,409136,4991,203,67313,240,403
-1-11-97-1,067-12,409-136,499-1,203,673-13,240,403

More Examples

Here are some more numbers to try:

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