Q: What are the factor combinations of the number 31,301,329?
A:
Positive:
1 x 3130132959 x 530531
Negative:
-1 x -31301329-59 x -530531
A:
Positive:
1 x 3130132959 x 530531
Negative:
-1 x -31301329-59 x -530531
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 31,301,329, 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 | 31,301,329 | |
-1 | -31,301,329 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,301,329.
Example:
1 x 31,301,329 = 31,301,329
and
-1 x -31,301,329 = 31,301,329
Notice both answers equal 31,301,329
With that explanation out of the way, let's continue. Next, we take the number 31,301,329 and divide it by 2:
31,301,329 ÷ 2 = 15,650,664.5
If the quotient is a whole number, then 2 and 15,650,664.5 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 | 31,301,329 | |
-1 | -31,301,329 |
Now, we try dividing 31,301,329 by 3:
31,301,329 ÷ 3 = 10,433,776.3333
If the quotient is a whole number, then 3 and 10,433,776.3333 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 | 31,301,329 | |
-1 | -31,301,329 |
Let's try dividing by 4:
31,301,329 ÷ 4 = 7,825,332.25
If the quotient is a whole number, then 4 and 7,825,332.25 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 | 31,301,329 | |
-1 | 31,301,329 |
If you did it right, you will end up with this table:
1 | 59 | 530,531 | 31,301,329 |
-1 | -59 | -530,531 | -31,301,329 |
Here are some more numbers to try:
Try the factor calculator