Q: What are the factor combinations of the number 723,130,379?
A:
Positive:
1 x 723130379199 x 3633821
Negative:
-1 x -723130379-199 x -3633821
A:
Positive:
1 x 723130379199 x 3633821
Negative:
-1 x -723130379-199 x -3633821
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 723,130,379, 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 | 723,130,379 | |
-1 | -723,130,379 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 723,130,379.
Example:
1 x 723,130,379 = 723,130,379
and
-1 x -723,130,379 = 723,130,379
Notice both answers equal 723,130,379
With that explanation out of the way, let's continue. Next, we take the number 723,130,379 and divide it by 2:
723,130,379 ÷ 2 = 361,565,189.5
If the quotient is a whole number, then 2 and 361,565,189.5 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 | 723,130,379 | |
-1 | -723,130,379 |
Now, we try dividing 723,130,379 by 3:
723,130,379 ÷ 3 = 241,043,459.6667
If the quotient is a whole number, then 3 and 241,043,459.6667 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 | 723,130,379 | |
-1 | -723,130,379 |
Let's try dividing by 4:
723,130,379 ÷ 4 = 180,782,594.75
If the quotient is a whole number, then 4 and 180,782,594.75 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 | 723,130,379 | |
-1 | 723,130,379 |
If you did it right, you will end up with this table:
1 | 199 | 3,633,821 | 723,130,379 |
-1 | -199 | -3,633,821 | -723,130,379 |
Here are some more numbers to try:
Try the factor calculator