Q: What are the factor combinations of the number 272,632,823?
A:
Positive:
1 x 27263282323 x 11853601
Negative:
-1 x -272632823-23 x -11853601
A:
Positive:
1 x 27263282323 x 11853601
Negative:
-1 x -272632823-23 x -11853601
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 272,632,823, 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 | 272,632,823 | |
-1 | -272,632,823 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 272,632,823.
Example:
1 x 272,632,823 = 272,632,823
and
-1 x -272,632,823 = 272,632,823
Notice both answers equal 272,632,823
With that explanation out of the way, let's continue. Next, we take the number 272,632,823 and divide it by 2:
272,632,823 ÷ 2 = 136,316,411.5
If the quotient is a whole number, then 2 and 136,316,411.5 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 | 272,632,823 | |
-1 | -272,632,823 |
Now, we try dividing 272,632,823 by 3:
272,632,823 ÷ 3 = 90,877,607.6667
If the quotient is a whole number, then 3 and 90,877,607.6667 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 | 272,632,823 | |
-1 | -272,632,823 |
Let's try dividing by 4:
272,632,823 ÷ 4 = 68,158,205.75
If the quotient is a whole number, then 4 and 68,158,205.75 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 | 272,632,823 | |
-1 | 272,632,823 |
If you did it right, you will end up with this table:
1 | 23 | 11,853,601 | 272,632,823 |
-1 | -23 | -11,853,601 | -272,632,823 |
Here are some more numbers to try:
Try the factor calculator