Q: What are the factor combinations of the number 720,377?
A:
Positive:
1 x 7203777 x 102911
Negative:
-1 x -720377-7 x -102911
A:
Positive:
1 x 7203777 x 102911
Negative:
-1 x -720377-7 x -102911
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 720,377, 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 | 720,377 | |
-1 | -720,377 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 720,377.
Example:
1 x 720,377 = 720,377
and
-1 x -720,377 = 720,377
Notice both answers equal 720,377
With that explanation out of the way, let's continue. Next, we take the number 720,377 and divide it by 2:
720,377 ÷ 2 = 360,188.5
If the quotient is a whole number, then 2 and 360,188.5 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 | 720,377 | |
-1 | -720,377 |
Now, we try dividing 720,377 by 3:
720,377 ÷ 3 = 240,125.6667
If the quotient is a whole number, then 3 and 240,125.6667 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 | 720,377 | |
-1 | -720,377 |
Let's try dividing by 4:
720,377 ÷ 4 = 180,094.25
If the quotient is a whole number, then 4 and 180,094.25 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 | 720,377 | |
-1 | 720,377 |
If you did it right, you will end up with this table:
1 | 7 | 102,911 | 720,377 |
-1 | -7 | -102,911 | -720,377 |
Here are some more numbers to try:
Try the factor calculator