Q: What are the factor combinations of the number 271,501,471?
A:
Positive:
1 x 271501471199 x 1364329
Negative:
-1 x -271501471-199 x -1364329
A:
Positive:
1 x 271501471199 x 1364329
Negative:
-1 x -271501471-199 x -1364329
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 271,501,471, 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 | 271,501,471 | |
-1 | -271,501,471 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 271,501,471.
Example:
1 x 271,501,471 = 271,501,471
and
-1 x -271,501,471 = 271,501,471
Notice both answers equal 271,501,471
With that explanation out of the way, let's continue. Next, we take the number 271,501,471 and divide it by 2:
271,501,471 ÷ 2 = 135,750,735.5
If the quotient is a whole number, then 2 and 135,750,735.5 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 | 271,501,471 | |
-1 | -271,501,471 |
Now, we try dividing 271,501,471 by 3:
271,501,471 ÷ 3 = 90,500,490.3333
If the quotient is a whole number, then 3 and 90,500,490.3333 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 | 271,501,471 | |
-1 | -271,501,471 |
Let's try dividing by 4:
271,501,471 ÷ 4 = 67,875,367.75
If the quotient is a whole number, then 4 and 67,875,367.75 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 | 271,501,471 | |
-1 | 271,501,471 |
If you did it right, you will end up with this table:
1 | 199 | 1,364,329 | 271,501,471 |
-1 | -199 | -1,364,329 | -271,501,471 |
Here are some more numbers to try:
Try the factor calculator