Q: What are the factor combinations of the number 1,201,085?

 A:
Positive:   1 x 12010855 x 24021719 x 6321547 x 2555595 x 12643235 x 5111269 x 4465893 x 1345
Negative: -1 x -1201085-5 x -240217-19 x -63215-47 x -25555-95 x -12643-235 x -5111-269 x -4465-893 x -1345


How do I find the factor combinations of the number 1,201,085?

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 1,201,085, 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 1,201,085
-1 -1,201,085

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 1,201,085.

Example:
1 x 1,201,085 = 1,201,085
and
-1 x -1,201,085 = 1,201,085
Notice both answers equal 1,201,085

With that explanation out of the way, let's continue. Next, we take the number 1,201,085 and divide it by 2:

1,201,085 ÷ 2 = 600,542.5

If the quotient is a whole number, then 2 and 600,542.5 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 1,201,085
-1 -1,201,085

Now, we try dividing 1,201,085 by 3:

1,201,085 ÷ 3 = 400,361.6667

If the quotient is a whole number, then 3 and 400,361.6667 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 1,201,085
-1 -1,201,085

Let's try dividing by 4:

1,201,085 ÷ 4 = 300,271.25

If the quotient is a whole number, then 4 and 300,271.25 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 1,201,085
-1 1,201,085
Keep dividing by the next highest number until you cannot divide anymore.

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

151947952352698931,3454,4655,11112,64325,55563,215240,2171,201,085
-1-5-19-47-95-235-269-893-1,345-4,465-5,111-12,643-25,555-63,215-240,217-1,201,085

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,201,085:


Ask a Question