Q: What are the factor combinations of the number 13,343,317?

 A:
Positive:   1 x 1334331713 x 102640917 x 784901173 x 77129221 x 60377349 x 382332249 x 59332941 x 4537
Negative: -1 x -13343317-13 x -1026409-17 x -784901-173 x -77129-221 x -60377-349 x -38233-2249 x -5933-2941 x -4537


How do I find the factor combinations of the number 13,343,317?

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 13,343,317, 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 13,343,317
-1 -13,343,317

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 13,343,317.

Example:
1 x 13,343,317 = 13,343,317
and
-1 x -13,343,317 = 13,343,317
Notice both answers equal 13,343,317

With that explanation out of the way, let's continue. Next, we take the number 13,343,317 and divide it by 2:

13,343,317 ÷ 2 = 6,671,658.5

If the quotient is a whole number, then 2 and 6,671,658.5 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 13,343,317
-1 -13,343,317

Now, we try dividing 13,343,317 by 3:

13,343,317 ÷ 3 = 4,447,772.3333

If the quotient is a whole number, then 3 and 4,447,772.3333 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 13,343,317
-1 -13,343,317

Let's try dividing by 4:

13,343,317 ÷ 4 = 3,335,829.25

If the quotient is a whole number, then 4 and 3,335,829.25 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 13,343,317
-1 13,343,317
Keep dividing by the next highest number until you cannot divide anymore.

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

113171732213492,2492,9414,5375,93338,23360,37777,129784,9011,026,40913,343,317
-1-13-17-173-221-349-2,249-2,941-4,537-5,933-38,233-60,377-77,129-784,901-1,026,409-13,343,317

More Examples

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