Q: What are the factor combinations of the number 1,070,707?

 A:
Positive:   1 x 107070711 x 9733719 x 5635347 x 22781109 x 9823209 x 5123517 x 2071893 x 1199
Negative: -1 x -1070707-11 x -97337-19 x -56353-47 x -22781-109 x -9823-209 x -5123-517 x -2071-893 x -1199


How do I find the factor combinations of the number 1,070,707?

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 1,070,707, 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 1,070,707
-1 -1,070,707

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 1,070,707.

Example:
1 x 1,070,707 = 1,070,707
and
-1 x -1,070,707 = 1,070,707
Notice both answers equal 1,070,707

With that explanation out of the way, let's continue. Next, we take the number 1,070,707 and divide it by 2:

1,070,707 ÷ 2 = 535,353.5

If the quotient is a whole number, then 2 and 535,353.5 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 1,070,707
-1 -1,070,707

Now, we try dividing 1,070,707 by 3:

1,070,707 ÷ 3 = 356,902.3333

If the quotient is a whole number, then 3 and 356,902.3333 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 1,070,707
-1 -1,070,707

Let's try dividing by 4:

1,070,707 ÷ 4 = 267,676.75

If the quotient is a whole number, then 4 and 267,676.75 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 1,070,707
-1 1,070,707
Keep dividing by the next highest number until you cannot divide anymore.

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

11119471092095178931,1992,0715,1239,82322,78156,35397,3371,070,707
-1-11-19-47-109-209-517-893-1,199-2,071-5,123-9,823-22,781-56,353-97,337-1,070,707

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,070,707:


Ask a Question