Q: What are the factor combinations of the number 660,323,015?

 A:
Positive:   1 x 6603230155 x 13206460311 x 6002936555 x 12005873121 x 5457215605 x 1091443
Negative: -1 x -660323015-5 x -132064603-11 x -60029365-55 x -12005873-121 x -5457215-605 x -1091443


How do I find the factor combinations of the number 660,323,015?

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 660,323,015, 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.

1 660,323,015
-1 -660,323,015

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 660,323,015.

Example:
1 x 660,323,015 = 660,323,015
and
-1 x -660,323,015 = 660,323,015
Notice both answers equal 660,323,015

With that explanation out of the way, let's continue. Next, we take the number 660,323,015 and divide it by 2:

660,323,015 ÷ 2 = 330,161,507.5

If the quotient is a whole number, then 2 and 330,161,507.5 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:

1 660,323,015
-1 -660,323,015

Now, we try dividing 660,323,015 by 3:

660,323,015 ÷ 3 = 220,107,671.6667

If the quotient is a whole number, then 3 and 220,107,671.6667 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:

1 660,323,015
-1 -660,323,015

Let's try dividing by 4:

660,323,015 ÷ 4 = 165,080,753.75

If the quotient is a whole number, then 4 and 165,080,753.75 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:

1 660,323,015
-1 660,323,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551216051,091,4435,457,21512,005,87360,029,365132,064,603660,323,015
-1-5-11-55-121-605-1,091,443-5,457,215-12,005,873-60,029,365-132,064,603-660,323,015

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 660,323,015:


Ask a Question