Q: What are the factor combinations of the number 545,080,405?
A:
Positive:
1 x 5450804055 x 109016081
Negative:
-1 x -545080405-5 x -109016081
A:
Positive:
1 x 5450804055 x 109016081
Negative:
-1 x -545080405-5 x -109016081
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 545,080,405, 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 | 545,080,405 | |
-1 | -545,080,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 545,080,405.
Example:
1 x 545,080,405 = 545,080,405
and
-1 x -545,080,405 = 545,080,405
Notice both answers equal 545,080,405
With that explanation out of the way, let's continue. Next, we take the number 545,080,405 and divide it by 2:
545,080,405 ÷ 2 = 272,540,202.5
If the quotient is a whole number, then 2 and 272,540,202.5 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 | 545,080,405 | |
-1 | -545,080,405 |
Now, we try dividing 545,080,405 by 3:
545,080,405 ÷ 3 = 181,693,468.3333
If the quotient is a whole number, then 3 and 181,693,468.3333 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 | 545,080,405 | |
-1 | -545,080,405 |
Let's try dividing by 4:
545,080,405 ÷ 4 = 136,270,101.25
If the quotient is a whole number, then 4 and 136,270,101.25 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 | 545,080,405 | |
-1 | 545,080,405 |
If you did it right, you will end up with this table:
1 | 5 | 109,016,081 | 545,080,405 |
-1 | -5 | -109,016,081 | -545,080,405 |
Here are some more numbers to try:
Try the factor calculator