Q: What are the factor combinations of the number 150,224,353?
A:
Positive:
1 x 15022435311867 x 12659
Negative:
-1 x -150224353-11867 x -12659
A:
Positive:
1 x 15022435311867 x 12659
Negative:
-1 x -150224353-11867 x -12659
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 150,224,353, 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 | 150,224,353 | |
-1 | -150,224,353 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 150,224,353.
Example:
1 x 150,224,353 = 150,224,353
and
-1 x -150,224,353 = 150,224,353
Notice both answers equal 150,224,353
With that explanation out of the way, let's continue. Next, we take the number 150,224,353 and divide it by 2:
150,224,353 ÷ 2 = 75,112,176.5
If the quotient is a whole number, then 2 and 75,112,176.5 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 | 150,224,353 | |
-1 | -150,224,353 |
Now, we try dividing 150,224,353 by 3:
150,224,353 ÷ 3 = 50,074,784.3333
If the quotient is a whole number, then 3 and 50,074,784.3333 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 | 150,224,353 | |
-1 | -150,224,353 |
Let's try dividing by 4:
150,224,353 ÷ 4 = 37,556,088.25
If the quotient is a whole number, then 4 and 37,556,088.25 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 | 150,224,353 | |
-1 | 150,224,353 |
If you did it right, you will end up with this table:
1 | 11,867 | 12,659 | 150,224,353 |
-1 | -11,867 | -12,659 | -150,224,353 |
Here are some more numbers to try:
Try the factor calculator