Q: What are the factor combinations of the number 13,790,825?

 A:
Positive:   1 x 137908255 x 275816517 x 81122525 x 55163337 x 37272585 x 162245185 x 74545425 x 32449629 x 21925877 x 15725925 x 149093145 x 4385
Negative: -1 x -13790825-5 x -2758165-17 x -811225-25 x -551633-37 x -372725-85 x -162245-185 x -74545-425 x -32449-629 x -21925-877 x -15725-925 x -14909-3145 x -4385


How do I find the factor combinations of the number 13,790,825?

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 13,790,825, 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 13,790,825
-1 -13,790,825

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 13,790,825.

Example:
1 x 13,790,825 = 13,790,825
and
-1 x -13,790,825 = 13,790,825
Notice both answers equal 13,790,825

With that explanation out of the way, let's continue. Next, we take the number 13,790,825 and divide it by 2:

13,790,825 ÷ 2 = 6,895,412.5

If the quotient is a whole number, then 2 and 6,895,412.5 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 13,790,825
-1 -13,790,825

Now, we try dividing 13,790,825 by 3:

13,790,825 ÷ 3 = 4,596,941.6667

If the quotient is a whole number, then 3 and 4,596,941.6667 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 13,790,825
-1 -13,790,825

Let's try dividing by 4:

13,790,825 ÷ 4 = 3,447,706.25

If the quotient is a whole number, then 4 and 3,447,706.25 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 13,790,825
-1 13,790,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15172537851854256298779253,1454,38514,90915,72521,92532,44974,545162,245372,725551,633811,2252,758,16513,790,825
-1-5-17-25-37-85-185-425-629-877-925-3,145-4,385-14,909-15,725-21,925-32,449-74,545-162,245-372,725-551,633-811,225-2,758,165-13,790,825

More Examples

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