Q: What are the factor combinations of the number 5,994,725?

 A:
Positive:   1 x 59947255 x 119894511 x 54497525 x 23978955 x 108995275 x 21799
Negative: -1 x -5994725-5 x -1198945-11 x -544975-25 x -239789-55 x -108995-275 x -21799


How do I find the factor combinations of the number 5,994,725?

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 5,994,725, 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 5,994,725
-1 -5,994,725

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 5,994,725.

Example:
1 x 5,994,725 = 5,994,725
and
-1 x -5,994,725 = 5,994,725
Notice both answers equal 5,994,725

With that explanation out of the way, let's continue. Next, we take the number 5,994,725 and divide it by 2:

5,994,725 ÷ 2 = 2,997,362.5

If the quotient is a whole number, then 2 and 2,997,362.5 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 5,994,725
-1 -5,994,725

Now, we try dividing 5,994,725 by 3:

5,994,725 ÷ 3 = 1,998,241.6667

If the quotient is a whole number, then 3 and 1,998,241.6667 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 5,994,725
-1 -5,994,725

Let's try dividing by 4:

5,994,725 ÷ 4 = 1,498,681.25

If the quotient is a whole number, then 4 and 1,498,681.25 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 5,994,725
-1 5,994,725
Keep dividing by the next highest number until you cannot divide anymore.

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

1511255527521,799108,995239,789544,9751,198,9455,994,725
-1-5-11-25-55-275-21,799-108,995-239,789-544,975-1,198,945-5,994,725

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