Q: What are the factor combinations of the number 150,600,203?
A:
Positive:
1 x 15060020313 x 11584631
Negative:
-1 x -150600203-13 x -11584631
A:
Positive:
1 x 15060020313 x 11584631
Negative:
-1 x -150600203-13 x -11584631
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 150,600,203, 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 | 150,600,203 | |
-1 | -150,600,203 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 150,600,203.
Example:
1 x 150,600,203 = 150,600,203
and
-1 x -150,600,203 = 150,600,203
Notice both answers equal 150,600,203
With that explanation out of the way, let's continue. Next, we take the number 150,600,203 and divide it by 2:
150,600,203 ÷ 2 = 75,300,101.5
If the quotient is a whole number, then 2 and 75,300,101.5 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 | 150,600,203 | |
-1 | -150,600,203 |
Now, we try dividing 150,600,203 by 3:
150,600,203 ÷ 3 = 50,200,067.6667
If the quotient is a whole number, then 3 and 50,200,067.6667 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 | 150,600,203 | |
-1 | -150,600,203 |
Let's try dividing by 4:
150,600,203 ÷ 4 = 37,650,050.75
If the quotient is a whole number, then 4 and 37,650,050.75 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 | 150,600,203 | |
-1 | 150,600,203 |
If you did it right, you will end up with this table:
1 | 13 | 11,584,631 | 150,600,203 |
-1 | -13 | -11,584,631 | -150,600,203 |
Here are some more numbers to try:
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