Q: What are the factor combinations of the number 224,330,323?
A:
Positive:
1 x 2243303237 x 32047189
Negative:
-1 x -224330323-7 x -32047189
A:
Positive:
1 x 2243303237 x 32047189
Negative:
-1 x -224330323-7 x -32047189
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 224,330,323, 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 | 224,330,323 | |
-1 | -224,330,323 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 224,330,323.
Example:
1 x 224,330,323 = 224,330,323
and
-1 x -224,330,323 = 224,330,323
Notice both answers equal 224,330,323
With that explanation out of the way, let's continue. Next, we take the number 224,330,323 and divide it by 2:
224,330,323 ÷ 2 = 112,165,161.5
If the quotient is a whole number, then 2 and 112,165,161.5 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 | 224,330,323 | |
-1 | -224,330,323 |
Now, we try dividing 224,330,323 by 3:
224,330,323 ÷ 3 = 74,776,774.3333
If the quotient is a whole number, then 3 and 74,776,774.3333 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 | 224,330,323 | |
-1 | -224,330,323 |
Let's try dividing by 4:
224,330,323 ÷ 4 = 56,082,580.75
If the quotient is a whole number, then 4 and 56,082,580.75 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 | 224,330,323 | |
-1 | 224,330,323 |
If you did it right, you will end up with this table:
1 | 7 | 32,047,189 | 224,330,323 |
-1 | -7 | -32,047,189 | -224,330,323 |
Here are some more numbers to try:
Try the factor calculator