Q: What are the factor combinations of the number 150,521,405?
A:
Positive:
1 x 1505214055 x 30104281
Negative:
-1 x -150521405-5 x -30104281
A:
Positive:
1 x 1505214055 x 30104281
Negative:
-1 x -150521405-5 x -30104281
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 150,521,405, 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 | 150,521,405 | |
-1 | -150,521,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 150,521,405.
Example:
1 x 150,521,405 = 150,521,405
and
-1 x -150,521,405 = 150,521,405
Notice both answers equal 150,521,405
With that explanation out of the way, let's continue. Next, we take the number 150,521,405 and divide it by 2:
150,521,405 ÷ 2 = 75,260,702.5
If the quotient is a whole number, then 2 and 75,260,702.5 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 | 150,521,405 | |
-1 | -150,521,405 |
Now, we try dividing 150,521,405 by 3:
150,521,405 ÷ 3 = 50,173,801.6667
If the quotient is a whole number, then 3 and 50,173,801.6667 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 | 150,521,405 | |
-1 | -150,521,405 |
Let's try dividing by 4:
150,521,405 ÷ 4 = 37,630,351.25
If the quotient is a whole number, then 4 and 37,630,351.25 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 | 150,521,405 | |
-1 | 150,521,405 |
If you did it right, you will end up with this table:
1 | 5 | 30,104,281 | 150,521,405 |
-1 | -5 | -30,104,281 | -150,521,405 |
Here are some more numbers to try:
Try the factor calculator