Q: What are the factor combinations of the number 271,156,307?
A:
Positive:
1 x 27115630717 x 15950371
Negative:
-1 x -271156307-17 x -15950371
A:
Positive:
1 x 27115630717 x 15950371
Negative:
-1 x -271156307-17 x -15950371
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 271,156,307, 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 | 271,156,307 | |
-1 | -271,156,307 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 271,156,307.
Example:
1 x 271,156,307 = 271,156,307
and
-1 x -271,156,307 = 271,156,307
Notice both answers equal 271,156,307
With that explanation out of the way, let's continue. Next, we take the number 271,156,307 and divide it by 2:
271,156,307 ÷ 2 = 135,578,153.5
If the quotient is a whole number, then 2 and 135,578,153.5 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 | 271,156,307 | |
-1 | -271,156,307 |
Now, we try dividing 271,156,307 by 3:
271,156,307 ÷ 3 = 90,385,435.6667
If the quotient is a whole number, then 3 and 90,385,435.6667 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 | 271,156,307 | |
-1 | -271,156,307 |
Let's try dividing by 4:
271,156,307 ÷ 4 = 67,789,076.75
If the quotient is a whole number, then 4 and 67,789,076.75 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 | 271,156,307 | |
-1 | 271,156,307 |
If you did it right, you will end up with this table:
1 | 17 | 15,950,371 | 271,156,307 |
-1 | -17 | -15,950,371 | -271,156,307 |
Here are some more numbers to try:
Try the factor calculator