Q: What are the factor combinations of the number 31,140,223?
A:
Positive:
1 x 31140223349 x 89227
Negative:
-1 x -31140223-349 x -89227
A:
Positive:
1 x 31140223349 x 89227
Negative:
-1 x -31140223-349 x -89227
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 31,140,223, 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 | 31,140,223 | |
-1 | -31,140,223 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,140,223.
Example:
1 x 31,140,223 = 31,140,223
and
-1 x -31,140,223 = 31,140,223
Notice both answers equal 31,140,223
With that explanation out of the way, let's continue. Next, we take the number 31,140,223 and divide it by 2:
31,140,223 ÷ 2 = 15,570,111.5
If the quotient is a whole number, then 2 and 15,570,111.5 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 | 31,140,223 | |
-1 | -31,140,223 |
Now, we try dividing 31,140,223 by 3:
31,140,223 ÷ 3 = 10,380,074.3333
If the quotient is a whole number, then 3 and 10,380,074.3333 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 | 31,140,223 | |
-1 | -31,140,223 |
Let's try dividing by 4:
31,140,223 ÷ 4 = 7,785,055.75
If the quotient is a whole number, then 4 and 7,785,055.75 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 | 31,140,223 | |
-1 | 31,140,223 |
If you did it right, you will end up with this table:
1 | 349 | 89,227 | 31,140,223 |
-1 | -349 | -89,227 | -31,140,223 |
Here are some more numbers to try:
Try the factor calculator