Q: What are the factor combinations of the number 204,156,313?
A:
Positive:
1 x 20415631313327 x 15319
Negative:
-1 x -204156313-13327 x -15319
A:
Positive:
1 x 20415631313327 x 15319
Negative:
-1 x -204156313-13327 x -15319
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 204,156,313, 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 | 204,156,313 | |
-1 | -204,156,313 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 204,156,313.
Example:
1 x 204,156,313 = 204,156,313
and
-1 x -204,156,313 = 204,156,313
Notice both answers equal 204,156,313
With that explanation out of the way, let's continue. Next, we take the number 204,156,313 and divide it by 2:
204,156,313 ÷ 2 = 102,078,156.5
If the quotient is a whole number, then 2 and 102,078,156.5 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 | 204,156,313 | |
-1 | -204,156,313 |
Now, we try dividing 204,156,313 by 3:
204,156,313 ÷ 3 = 68,052,104.3333
If the quotient is a whole number, then 3 and 68,052,104.3333 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 | 204,156,313 | |
-1 | -204,156,313 |
Let's try dividing by 4:
204,156,313 ÷ 4 = 51,039,078.25
If the quotient is a whole number, then 4 and 51,039,078.25 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 | 204,156,313 | |
-1 | 204,156,313 |
If you did it right, you will end up with this table:
1 | 13,327 | 15,319 | 204,156,313 |
-1 | -13,327 | -15,319 | -204,156,313 |
Here are some more numbers to try:
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