Q: What are the factor combinations of the number 304,424,449?
A:
Positive:
1 x 3044244497 x 43489207
Negative:
-1 x -304424449-7 x -43489207
A:
Positive:
1 x 3044244497 x 43489207
Negative:
-1 x -304424449-7 x -43489207
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 304,424,449, 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 | 304,424,449 | |
-1 | -304,424,449 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 304,424,449.
Example:
1 x 304,424,449 = 304,424,449
and
-1 x -304,424,449 = 304,424,449
Notice both answers equal 304,424,449
With that explanation out of the way, let's continue. Next, we take the number 304,424,449 and divide it by 2:
304,424,449 ÷ 2 = 152,212,224.5
If the quotient is a whole number, then 2 and 152,212,224.5 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 | 304,424,449 | |
-1 | -304,424,449 |
Now, we try dividing 304,424,449 by 3:
304,424,449 ÷ 3 = 101,474,816.3333
If the quotient is a whole number, then 3 and 101,474,816.3333 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 | 304,424,449 | |
-1 | -304,424,449 |
Let's try dividing by 4:
304,424,449 ÷ 4 = 76,106,112.25
If the quotient is a whole number, then 4 and 76,106,112.25 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 | 304,424,449 | |
-1 | 304,424,449 |
If you did it right, you will end up with this table:
1 | 7 | 43,489,207 | 304,424,449 |
-1 | -7 | -43,489,207 | -304,424,449 |
Here are some more numbers to try:
Try the factor calculator