Q: What are the factor combinations of the number 1,025,125?

 A:
Positive:   1 x 10251255 x 20502525 x 4100559 x 17375125 x 8201139 x 7375295 x 3475695 x 1475
Negative: -1 x -1025125-5 x -205025-25 x -41005-59 x -17375-125 x -8201-139 x -7375-295 x -3475-695 x -1475


How do I find the factor combinations of the number 1,025,125?

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 1,025,125, 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 1,025,125
-1 -1,025,125

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 1,025,125.

Example:
1 x 1,025,125 = 1,025,125
and
-1 x -1,025,125 = 1,025,125
Notice both answers equal 1,025,125

With that explanation out of the way, let's continue. Next, we take the number 1,025,125 and divide it by 2:

1,025,125 ÷ 2 = 512,562.5

If the quotient is a whole number, then 2 and 512,562.5 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 1,025,125
-1 -1,025,125

Now, we try dividing 1,025,125 by 3:

1,025,125 ÷ 3 = 341,708.3333

If the quotient is a whole number, then 3 and 341,708.3333 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 1,025,125
-1 -1,025,125

Let's try dividing by 4:

1,025,125 ÷ 4 = 256,281.25

If the quotient is a whole number, then 4 and 256,281.25 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 1,025,125
-1 1,025,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525591251392956951,4753,4757,3758,20117,37541,005205,0251,025,125
-1-5-25-59-125-139-295-695-1,475-3,475-7,375-8,201-17,375-41,005-205,025-1,025,125

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,025,125:


Ask a Question