Q: What are the factor combinations of the number 405,014,345?
A:
Positive:
1 x 4050143455 x 81002869
Negative:
-1 x -405014345-5 x -81002869
A:
Positive:
1 x 4050143455 x 81002869
Negative:
-1 x -405014345-5 x -81002869
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 405,014,345, 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 | 405,014,345 | |
-1 | -405,014,345 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 405,014,345.
Example:
1 x 405,014,345 = 405,014,345
and
-1 x -405,014,345 = 405,014,345
Notice both answers equal 405,014,345
With that explanation out of the way, let's continue. Next, we take the number 405,014,345 and divide it by 2:
405,014,345 ÷ 2 = 202,507,172.5
If the quotient is a whole number, then 2 and 202,507,172.5 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 | 405,014,345 | |
-1 | -405,014,345 |
Now, we try dividing 405,014,345 by 3:
405,014,345 ÷ 3 = 135,004,781.6667
If the quotient is a whole number, then 3 and 135,004,781.6667 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 | 405,014,345 | |
-1 | -405,014,345 |
Let's try dividing by 4:
405,014,345 ÷ 4 = 101,253,586.25
If the quotient is a whole number, then 4 and 101,253,586.25 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 | 405,014,345 | |
-1 | 405,014,345 |
If you did it right, you will end up with this table:
1 | 5 | 81,002,869 | 405,014,345 |
-1 | -5 | -81,002,869 | -405,014,345 |
Here are some more numbers to try:
Try the factor calculator