Q: What are the factor combinations of the number 2,001,725?

 A:
Positive:   1 x 20017255 x 40034511 x 18197525 x 8006929 x 6902555 x 36395145 x 13805251 x 7975275 x 7279319 x 6275725 x 27611255 x 1595
Negative: -1 x -2001725-5 x -400345-11 x -181975-25 x -80069-29 x -69025-55 x -36395-145 x -13805-251 x -7975-275 x -7279-319 x -6275-725 x -2761-1255 x -1595


How do I find the factor combinations of the number 2,001,725?

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 2,001,725, 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 2,001,725
-1 -2,001,725

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 2,001,725.

Example:
1 x 2,001,725 = 2,001,725
and
-1 x -2,001,725 = 2,001,725
Notice both answers equal 2,001,725

With that explanation out of the way, let's continue. Next, we take the number 2,001,725 and divide it by 2:

2,001,725 ÷ 2 = 1,000,862.5

If the quotient is a whole number, then 2 and 1,000,862.5 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 2,001,725
-1 -2,001,725

Now, we try dividing 2,001,725 by 3:

2,001,725 ÷ 3 = 667,241.6667

If the quotient is a whole number, then 3 and 667,241.6667 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 2,001,725
-1 -2,001,725

Let's try dividing by 4:

2,001,725 ÷ 4 = 500,431.25

If the quotient is a whole number, then 4 and 500,431.25 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 2,001,725
-1 2,001,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15112529551452512753197251,2551,5952,7616,2757,2797,97513,80536,39569,02580,069181,975400,3452,001,725
-1-5-11-25-29-55-145-251-275-319-725-1,255-1,595-2,761-6,275-7,279-7,975-13,805-36,395-69,025-80,069-181,975-400,345-2,001,725

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 2,001,725:


Ask a Question