Q: What are the factor combinations of the number 13,370,383?

 A:
Positive:   1 x 1337038313 x 102849123 x 58132197 x 137839299 x 44717461 x 290031261 x 106032231 x 5993
Negative: -1 x -13370383-13 x -1028491-23 x -581321-97 x -137839-299 x -44717-461 x -29003-1261 x -10603-2231 x -5993


How do I find the factor combinations of the number 13,370,383?

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 13,370,383, 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 13,370,383
-1 -13,370,383

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 13,370,383.

Example:
1 x 13,370,383 = 13,370,383
and
-1 x -13,370,383 = 13,370,383
Notice both answers equal 13,370,383

With that explanation out of the way, let's continue. Next, we take the number 13,370,383 and divide it by 2:

13,370,383 ÷ 2 = 6,685,191.5

If the quotient is a whole number, then 2 and 6,685,191.5 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 13,370,383
-1 -13,370,383

Now, we try dividing 13,370,383 by 3:

13,370,383 ÷ 3 = 4,456,794.3333

If the quotient is a whole number, then 3 and 4,456,794.3333 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 13,370,383
-1 -13,370,383

Let's try dividing by 4:

13,370,383 ÷ 4 = 3,342,595.75

If the quotient is a whole number, then 4 and 3,342,595.75 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 13,370,383
-1 13,370,383
Keep dividing by the next highest number until you cannot divide anymore.

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

11323972994611,2612,2315,99310,60329,00344,717137,839581,3211,028,49113,370,383
-1-13-23-97-299-461-1,261-2,231-5,993-10,603-29,003-44,717-137,839-581,321-1,028,491-13,370,383

More Examples

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