Q: What are the factor combinations of the number 17,662,271?

 A:
Positive:   1 x 1766227111 x 160566147 x 375793127 x 139073269 x 65659517 x 341631397 x 126432959 x 5969
Negative: -1 x -17662271-11 x -1605661-47 x -375793-127 x -139073-269 x -65659-517 x -34163-1397 x -12643-2959 x -5969


How do I find the factor combinations of the number 17,662,271?

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 17,662,271, 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 17,662,271
-1 -17,662,271

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 17,662,271.

Example:
1 x 17,662,271 = 17,662,271
and
-1 x -17,662,271 = 17,662,271
Notice both answers equal 17,662,271

With that explanation out of the way, let's continue. Next, we take the number 17,662,271 and divide it by 2:

17,662,271 ÷ 2 = 8,831,135.5

If the quotient is a whole number, then 2 and 8,831,135.5 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 17,662,271
-1 -17,662,271

Now, we try dividing 17,662,271 by 3:

17,662,271 ÷ 3 = 5,887,423.6667

If the quotient is a whole number, then 3 and 5,887,423.6667 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 17,662,271
-1 -17,662,271

Let's try dividing by 4:

17,662,271 ÷ 4 = 4,415,567.75

If the quotient is a whole number, then 4 and 4,415,567.75 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 17,662,271
-1 17,662,271
Keep dividing by the next highest number until you cannot divide anymore.

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

111471272695171,3972,9595,96912,64334,16365,659139,073375,7931,605,66117,662,271
-1-11-47-127-269-517-1,397-2,959-5,969-12,643-34,163-65,659-139,073-375,793-1,605,661-17,662,271

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 17,662,271:


Ask a Question