Q: What are the factor combinations of the number 13,733,725?

 A:
Positive:   1 x 137337255 x 274674525 x 54934959 x 232775295 x 465551475 x 9311
Negative: -1 x -13733725-5 x -2746745-25 x -549349-59 x -232775-295 x -46555-1475 x -9311


How do I find the factor combinations of the number 13,733,725?

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 13,733,725, 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 13,733,725
-1 -13,733,725

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 13,733,725.

Example:
1 x 13,733,725 = 13,733,725
and
-1 x -13,733,725 = 13,733,725
Notice both answers equal 13,733,725

With that explanation out of the way, let's continue. Next, we take the number 13,733,725 and divide it by 2:

13,733,725 ÷ 2 = 6,866,862.5

If the quotient is a whole number, then 2 and 6,866,862.5 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 13,733,725
-1 -13,733,725

Now, we try dividing 13,733,725 by 3:

13,733,725 ÷ 3 = 4,577,908.3333

If the quotient is a whole number, then 3 and 4,577,908.3333 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 13,733,725
-1 -13,733,725

Let's try dividing by 4:

13,733,725 ÷ 4 = 3,433,431.25

If the quotient is a whole number, then 4 and 3,433,431.25 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 13,733,725
-1 13,733,725
Keep dividing by the next highest number until you cannot divide anymore.

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

1525592951,4759,31146,555232,775549,3492,746,74513,733,725
-1-5-25-59-295-1,475-9,311-46,555-232,775-549,349-2,746,745-13,733,725

More Examples

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