Q: What are the factor combinations of the number 716,302,463?
A:
Positive:
1 x 71630246317 x 42135439
Negative:
-1 x -716302463-17 x -42135439
A:
Positive:
1 x 71630246317 x 42135439
Negative:
-1 x -716302463-17 x -42135439
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 716,302,463, 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 | 716,302,463 | |
-1 | -716,302,463 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 716,302,463.
Example:
1 x 716,302,463 = 716,302,463
and
-1 x -716,302,463 = 716,302,463
Notice both answers equal 716,302,463
With that explanation out of the way, let's continue. Next, we take the number 716,302,463 and divide it by 2:
716,302,463 ÷ 2 = 358,151,231.5
If the quotient is a whole number, then 2 and 358,151,231.5 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 | 716,302,463 | |
-1 | -716,302,463 |
Now, we try dividing 716,302,463 by 3:
716,302,463 ÷ 3 = 238,767,487.6667
If the quotient is a whole number, then 3 and 238,767,487.6667 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 | 716,302,463 | |
-1 | -716,302,463 |
Let's try dividing by 4:
716,302,463 ÷ 4 = 179,075,615.75
If the quotient is a whole number, then 4 and 179,075,615.75 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 | 716,302,463 | |
-1 | 716,302,463 |
If you did it right, you will end up with this table:
1 | 17 | 42,135,439 | 716,302,463 |
-1 | -17 | -42,135,439 | -716,302,463 |
Here are some more numbers to try:
Try the factor calculator