Q: What are the factor combinations of the number 17,310,767?

 A:
Positive:   1 x 1731076719 x 91109329 x 59692389 x 194503353 x 49039551 x 314171691 x 102372581 x 6707
Negative: -1 x -17310767-19 x -911093-29 x -596923-89 x -194503-353 x -49039-551 x -31417-1691 x -10237-2581 x -6707


How do I find the factor combinations of the number 17,310,767?

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 17,310,767, 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 17,310,767
-1 -17,310,767

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 17,310,767.

Example:
1 x 17,310,767 = 17,310,767
and
-1 x -17,310,767 = 17,310,767
Notice both answers equal 17,310,767

With that explanation out of the way, let's continue. Next, we take the number 17,310,767 and divide it by 2:

17,310,767 ÷ 2 = 8,655,383.5

If the quotient is a whole number, then 2 and 8,655,383.5 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 17,310,767
-1 -17,310,767

Now, we try dividing 17,310,767 by 3:

17,310,767 ÷ 3 = 5,770,255.6667

If the quotient is a whole number, then 3 and 5,770,255.6667 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 17,310,767
-1 -17,310,767

Let's try dividing by 4:

17,310,767 ÷ 4 = 4,327,691.75

If the quotient is a whole number, then 4 and 4,327,691.75 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 17,310,767
-1 17,310,767
Keep dividing by the next highest number until you cannot divide anymore.

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

11929893535511,6912,5816,70710,23731,41749,039194,503596,923911,09317,310,767
-1-19-29-89-353-551-1,691-2,581-6,707-10,237-31,417-49,039-194,503-596,923-911,093-17,310,767

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 17,310,767:


Ask a Question