Q: What are the factor combinations of the number 310,020,203?
A:
Positive:
1 x 31002020310139 x 30577
Negative:
-1 x -310020203-10139 x -30577
A:
Positive:
1 x 31002020310139 x 30577
Negative:
-1 x -310020203-10139 x -30577
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 310,020,203, 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 | 310,020,203 | |
-1 | -310,020,203 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,020,203.
Example:
1 x 310,020,203 = 310,020,203
and
-1 x -310,020,203 = 310,020,203
Notice both answers equal 310,020,203
With that explanation out of the way, let's continue. Next, we take the number 310,020,203 and divide it by 2:
310,020,203 ÷ 2 = 155,010,101.5
If the quotient is a whole number, then 2 and 155,010,101.5 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 | 310,020,203 | |
-1 | -310,020,203 |
Now, we try dividing 310,020,203 by 3:
310,020,203 ÷ 3 = 103,340,067.6667
If the quotient is a whole number, then 3 and 103,340,067.6667 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 | 310,020,203 | |
-1 | -310,020,203 |
Let's try dividing by 4:
310,020,203 ÷ 4 = 77,505,050.75
If the quotient is a whole number, then 4 and 77,505,050.75 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 | 310,020,203 | |
-1 | 310,020,203 |
If you did it right, you will end up with this table:
1 | 10,139 | 30,577 | 310,020,203 |
-1 | -10,139 | -30,577 | -310,020,203 |
Here are some more numbers to try:
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