Q: What are the factor combinations of the number 722,301,613?
A:
Positive:
1 x 72230161311 x 65663783
Negative:
-1 x -722301613-11 x -65663783
A:
Positive:
1 x 72230161311 x 65663783
Negative:
-1 x -722301613-11 x -65663783
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 722,301,613, it is easier to work with a table - it's called factoring from the outside in.
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 | 722,301,613 | |
-1 | -722,301,613 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 722,301,613.
Example:
1 x 722,301,613 = 722,301,613
and
-1 x -722,301,613 = 722,301,613
Notice both answers equal 722,301,613
With that explanation out of the way, let's continue. Next, we take the number 722,301,613 and divide it by 2:
722,301,613 ÷ 2 = 361,150,806.5
If the quotient is a whole number, then 2 and 361,150,806.5 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 | 722,301,613 | |
-1 | -722,301,613 |
Now, we try dividing 722,301,613 by 3:
722,301,613 ÷ 3 = 240,767,204.3333
If the quotient is a whole number, then 3 and 240,767,204.3333 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 | 722,301,613 | |
-1 | -722,301,613 |
Let's try dividing by 4:
722,301,613 ÷ 4 = 180,575,403.25
If the quotient is a whole number, then 4 and 180,575,403.25 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 | 722,301,613 | |
-1 | 722,301,613 |
If you did it right, you will end up with this table:
1 | 11 | 65,663,783 | 722,301,613 |
-1 | -11 | -65,663,783 | -722,301,613 |
Here are some more numbers to try:
Try the factor calculator