Q: What are the factor combinations of the number 667,221,605?

 A:
Positive:   1 x 6672216055 x 13344432123 x 29009635115 x 5801927179 x 3727495895 x 7454994117 x 16206520585 x 32413
Negative: -1 x -667221605-5 x -133444321-23 x -29009635-115 x -5801927-179 x -3727495-895 x -745499-4117 x -162065-20585 x -32413


How do I find the factor combinations of the number 667,221,605?

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 667,221,605, 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.

1 667,221,605
-1 -667,221,605

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 667,221,605.

Example:
1 x 667,221,605 = 667,221,605
and
-1 x -667,221,605 = 667,221,605
Notice both answers equal 667,221,605

With that explanation out of the way, let's continue. Next, we take the number 667,221,605 and divide it by 2:

667,221,605 ÷ 2 = 333,610,802.5

If the quotient is a whole number, then 2 and 333,610,802.5 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:

1 667,221,605
-1 -667,221,605

Now, we try dividing 667,221,605 by 3:

667,221,605 ÷ 3 = 222,407,201.6667

If the quotient is a whole number, then 3 and 222,407,201.6667 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:

1 667,221,605
-1 -667,221,605

Let's try dividing by 4:

667,221,605 ÷ 4 = 166,805,401.25

If the quotient is a whole number, then 4 and 166,805,401.25 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:

1 667,221,605
-1 667,221,605
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151798954,11720,58532,413162,065745,4993,727,4955,801,92729,009,635133,444,321667,221,605
-1-5-23-115-179-895-4,117-20,585-32,413-162,065-745,499-3,727,495-5,801,927-29,009,635-133,444,321-667,221,605

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 667,221,605:


Ask a Question