Q: What are the factor combinations of the number 1,008,425?

 A:
Positive:   1 x 10084255 x 20168511 x 9167519 x 5307525 x 4033755 x 1833595 x 10615193 x 5225209 x 4825275 x 3667475 x 2123965 x 1045
Negative: -1 x -1008425-5 x -201685-11 x -91675-19 x -53075-25 x -40337-55 x -18335-95 x -10615-193 x -5225-209 x -4825-275 x -3667-475 x -2123-965 x -1045


How do I find the factor combinations of the number 1,008,425?

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 1,008,425, 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 1,008,425
-1 -1,008,425

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 1,008,425.

Example:
1 x 1,008,425 = 1,008,425
and
-1 x -1,008,425 = 1,008,425
Notice both answers equal 1,008,425

With that explanation out of the way, let's continue. Next, we take the number 1,008,425 and divide it by 2:

1,008,425 ÷ 2 = 504,212.5

If the quotient is a whole number, then 2 and 504,212.5 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 1,008,425
-1 -1,008,425

Now, we try dividing 1,008,425 by 3:

1,008,425 ÷ 3 = 336,141.6667

If the quotient is a whole number, then 3 and 336,141.6667 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 1,008,425
-1 -1,008,425

Let's try dividing by 4:

1,008,425 ÷ 4 = 252,106.25

If the quotient is a whole number, then 4 and 252,106.25 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 1,008,425
-1 1,008,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1511192555951932092754759651,0452,1233,6674,8255,22510,61518,33540,33753,07591,675201,6851,008,425
-1-5-11-19-25-55-95-193-209-275-475-965-1,045-2,123-3,667-4,825-5,225-10,615-18,335-40,337-53,075-91,675-201,685-1,008,425

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,008,425:


Ask a Question