Q: What are the factor combinations of the number 423,244,303?
A:
Positive:
1 x 4232443032131 x 198613
Negative:
-1 x -423244303-2131 x -198613
A:
Positive:
1 x 4232443032131 x 198613
Negative:
-1 x -423244303-2131 x -198613
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 423,244,303, 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 | 423,244,303 | |
-1 | -423,244,303 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 423,244,303.
Example:
1 x 423,244,303 = 423,244,303
and
-1 x -423,244,303 = 423,244,303
Notice both answers equal 423,244,303
With that explanation out of the way, let's continue. Next, we take the number 423,244,303 and divide it by 2:
423,244,303 ÷ 2 = 211,622,151.5
If the quotient is a whole number, then 2 and 211,622,151.5 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 | 423,244,303 | |
-1 | -423,244,303 |
Now, we try dividing 423,244,303 by 3:
423,244,303 ÷ 3 = 141,081,434.3333
If the quotient is a whole number, then 3 and 141,081,434.3333 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 | 423,244,303 | |
-1 | -423,244,303 |
Let's try dividing by 4:
423,244,303 ÷ 4 = 105,811,075.75
If the quotient is a whole number, then 4 and 105,811,075.75 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 | 423,244,303 | |
-1 | 423,244,303 |
If you did it right, you will end up with this table:
1 | 2,131 | 198,613 | 423,244,303 |
-1 | -2,131 | -198,613 | -423,244,303 |
Here are some more numbers to try:
Try the factor calculator