Q: What are the factor combinations of the number 17,000,855?

 A:
Positive:   1 x 170008555 x 340017141 x 414655127 x 133865205 x 82931635 x 26773653 x 260353265 x 5207
Negative: -1 x -17000855-5 x -3400171-41 x -414655-127 x -133865-205 x -82931-635 x -26773-653 x -26035-3265 x -5207


How do I find the factor combinations of the number 17,000,855?

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 17,000,855, 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 17,000,855
-1 -17,000,855

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 17,000,855.

Example:
1 x 17,000,855 = 17,000,855
and
-1 x -17,000,855 = 17,000,855
Notice both answers equal 17,000,855

With that explanation out of the way, let's continue. Next, we take the number 17,000,855 and divide it by 2:

17,000,855 ÷ 2 = 8,500,427.5

If the quotient is a whole number, then 2 and 8,500,427.5 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 17,000,855
-1 -17,000,855

Now, we try dividing 17,000,855 by 3:

17,000,855 ÷ 3 = 5,666,951.6667

If the quotient is a whole number, then 3 and 5,666,951.6667 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 17,000,855
-1 -17,000,855

Let's try dividing by 4:

17,000,855 ÷ 4 = 4,250,213.75

If the quotient is a whole number, then 4 and 4,250,213.75 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 17,000,855
-1 17,000,855
Keep dividing by the next highest number until you cannot divide anymore.

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

15411272056356533,2655,20726,03526,77382,931133,865414,6553,400,17117,000,855
-1-5-41-127-205-635-653-3,265-5,207-26,035-26,773-82,931-133,865-414,655-3,400,171-17,000,855

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 17,000,855:


Ask a Question