Q: What are the factor combinations of the number 3,327,605?

 A:
Positive:   1 x 33276055 x 66552129 x 11474553 x 62785145 x 22949265 x 12557433 x 76851537 x 2165
Negative: -1 x -3327605-5 x -665521-29 x -114745-53 x -62785-145 x -22949-265 x -12557-433 x -7685-1537 x -2165


How do I find the factor combinations of the number 3,327,605?

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 3,327,605, 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 3,327,605
-1 -3,327,605

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 3,327,605.

Example:
1 x 3,327,605 = 3,327,605
and
-1 x -3,327,605 = 3,327,605
Notice both answers equal 3,327,605

With that explanation out of the way, let's continue. Next, we take the number 3,327,605 and divide it by 2:

3,327,605 ÷ 2 = 1,663,802.5

If the quotient is a whole number, then 2 and 1,663,802.5 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 3,327,605
-1 -3,327,605

Now, we try dividing 3,327,605 by 3:

3,327,605 ÷ 3 = 1,109,201.6667

If the quotient is a whole number, then 3 and 1,109,201.6667 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 3,327,605
-1 -3,327,605

Let's try dividing by 4:

3,327,605 ÷ 4 = 831,901.25

If the quotient is a whole number, then 4 and 831,901.25 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 3,327,605
-1 3,327,605
Keep dividing by the next highest number until you cannot divide anymore.

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

1529531452654331,5372,1657,68512,55722,94962,785114,745665,5213,327,605
-1-5-29-53-145-265-433-1,537-2,165-7,685-12,557-22,949-62,785-114,745-665,521-3,327,605

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 3,327,605:


Ask a Question