Q: What are the factor combinations of the number 1,082,725?

 A:
Positive:   1 x 10827255 x 2165457 x 15467523 x 4707525 x 4330935 x 30935115 x 9415161 x 6725175 x 6187269 x 4025575 x 1883805 x 1345
Negative: -1 x -1082725-5 x -216545-7 x -154675-23 x -47075-25 x -43309-35 x -30935-115 x -9415-161 x -6725-175 x -6187-269 x -4025-575 x -1883-805 x -1345


How do I find the factor combinations of the number 1,082,725?

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 1,082,725, 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 1,082,725
-1 -1,082,725

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 1,082,725.

Example:
1 x 1,082,725 = 1,082,725
and
-1 x -1,082,725 = 1,082,725
Notice both answers equal 1,082,725

With that explanation out of the way, let's continue. Next, we take the number 1,082,725 and divide it by 2:

1,082,725 ÷ 2 = 541,362.5

If the quotient is a whole number, then 2 and 541,362.5 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 1,082,725
-1 -1,082,725

Now, we try dividing 1,082,725 by 3:

1,082,725 ÷ 3 = 360,908.3333

If the quotient is a whole number, then 3 and 360,908.3333 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 1,082,725
-1 -1,082,725

Let's try dividing by 4:

1,082,725 ÷ 4 = 270,681.25

If the quotient is a whole number, then 4 and 270,681.25 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 1,082,725
-1 1,082,725
Keep dividing by the next highest number until you cannot divide anymore.

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

1572325351151611752695758051,3451,8834,0256,1876,7259,41530,93543,30947,075154,675216,5451,082,725
-1-5-7-23-25-35-115-161-175-269-575-805-1,345-1,883-4,025-6,187-6,725-9,415-30,935-43,309-47,075-154,675-216,545-1,082,725

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,082,725:


Ask a Question