Q: What are the factor combinations of the number 3,330,725?

 A:
Positive:   1 x 33307255 x 66614517 x 19592525 x 13322985 x 39185289 x 11525425 x 7837461 x 72251445 x 2305
Negative: -1 x -3330725-5 x -666145-17 x -195925-25 x -133229-85 x -39185-289 x -11525-425 x -7837-461 x -7225-1445 x -2305


How do I find the factor combinations of the number 3,330,725?

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 3,330,725, 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 3,330,725
-1 -3,330,725

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 3,330,725.

Example:
1 x 3,330,725 = 3,330,725
and
-1 x -3,330,725 = 3,330,725
Notice both answers equal 3,330,725

With that explanation out of the way, let's continue. Next, we take the number 3,330,725 and divide it by 2:

3,330,725 ÷ 2 = 1,665,362.5

If the quotient is a whole number, then 2 and 1,665,362.5 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 3,330,725
-1 -3,330,725

Now, we try dividing 3,330,725 by 3:

3,330,725 ÷ 3 = 1,110,241.6667

If the quotient is a whole number, then 3 and 1,110,241.6667 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 3,330,725
-1 -3,330,725

Let's try dividing by 4:

3,330,725 ÷ 4 = 832,681.25

If the quotient is a whole number, then 4 and 832,681.25 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 3,330,725
-1 3,330,725
Keep dividing by the next highest number until you cannot divide anymore.

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

151725852894254611,4452,3057,2257,83711,52539,185133,229195,925666,1453,330,725
-1-5-17-25-85-289-425-461-1,445-2,305-7,225-7,837-11,525-39,185-133,229-195,925-666,145-3,330,725

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