Q: What are the factor combinations of the number 423,522,329?
A:
Positive:
1 x 42352232961 x 6942989
Negative:
-1 x -423522329-61 x -6942989
A:
Positive:
1 x 42352232961 x 6942989
Negative:
-1 x -423522329-61 x -6942989
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 423,522,329, 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 | 423,522,329 | |
-1 | -423,522,329 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 423,522,329.
Example:
1 x 423,522,329 = 423,522,329
and
-1 x -423,522,329 = 423,522,329
Notice both answers equal 423,522,329
With that explanation out of the way, let's continue. Next, we take the number 423,522,329 and divide it by 2:
423,522,329 ÷ 2 = 211,761,164.5
If the quotient is a whole number, then 2 and 211,761,164.5 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 | 423,522,329 | |
-1 | -423,522,329 |
Now, we try dividing 423,522,329 by 3:
423,522,329 ÷ 3 = 141,174,109.6667
If the quotient is a whole number, then 3 and 141,174,109.6667 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 | 423,522,329 | |
-1 | -423,522,329 |
Let's try dividing by 4:
423,522,329 ÷ 4 = 105,880,582.25
If the quotient is a whole number, then 4 and 105,880,582.25 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 | 423,522,329 | |
-1 | 423,522,329 |
If you did it right, you will end up with this table:
1 | 61 | 6,942,989 | 423,522,329 |
-1 | -61 | -6,942,989 | -423,522,329 |
Here are some more numbers to try:
Try the factor calculator