Q: What are the factor combinations of the number 13,320,307?

 A:
Positive:   1 x 133203077 x 190290111 x 121093713 x 102463949 x 27184377 x 17299191 x 146377143 x 93149539 x 24713637 x 209111001 x 133071901 x 7007
Negative: -1 x -13320307-7 x -1902901-11 x -1210937-13 x -1024639-49 x -271843-77 x -172991-91 x -146377-143 x -93149-539 x -24713-637 x -20911-1001 x -13307-1901 x -7007


How do I find the factor combinations of the number 13,320,307?

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 13,320,307, 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 13,320,307
-1 -13,320,307

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 13,320,307.

Example:
1 x 13,320,307 = 13,320,307
and
-1 x -13,320,307 = 13,320,307
Notice both answers equal 13,320,307

With that explanation out of the way, let's continue. Next, we take the number 13,320,307 and divide it by 2:

13,320,307 ÷ 2 = 6,660,153.5

If the quotient is a whole number, then 2 and 6,660,153.5 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 13,320,307
-1 -13,320,307

Now, we try dividing 13,320,307 by 3:

13,320,307 ÷ 3 = 4,440,102.3333

If the quotient is a whole number, then 3 and 4,440,102.3333 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 13,320,307
-1 -13,320,307

Let's try dividing by 4:

13,320,307 ÷ 4 = 3,330,076.75

If the quotient is a whole number, then 4 and 3,330,076.75 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 13,320,307
-1 13,320,307
Keep dividing by the next highest number until you cannot divide anymore.

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

1711134977911435396371,0011,9017,00713,30720,91124,71393,149146,377172,991271,8431,024,6391,210,9371,902,90113,320,307
-1-7-11-13-49-77-91-143-539-637-1,001-1,901-7,007-13,307-20,911-24,713-93,149-146,377-172,991-271,843-1,024,639-1,210,937-1,902,901-13,320,307

More Examples

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