Q: What are the factor combinations of the number 27,273,725?
A:
Positive:
1 x 272737255 x 545474525 x 1090949
Negative:
-1 x -27273725-5 x -5454745-25 x -1090949
A:
Positive:
1 x 272737255 x 545474525 x 1090949
Negative:
-1 x -27273725-5 x -5454745-25 x -1090949
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 27,273,725, 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 | 27,273,725 | |
-1 | -27,273,725 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 27,273,725.
Example:
1 x 27,273,725 = 27,273,725
and
-1 x -27,273,725 = 27,273,725
Notice both answers equal 27,273,725
With that explanation out of the way, let's continue. Next, we take the number 27,273,725 and divide it by 2:
27,273,725 ÷ 2 = 13,636,862.5
If the quotient is a whole number, then 2 and 13,636,862.5 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 | 27,273,725 | |
-1 | -27,273,725 |
Now, we try dividing 27,273,725 by 3:
27,273,725 ÷ 3 = 9,091,241.6667
If the quotient is a whole number, then 3 and 9,091,241.6667 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 | 27,273,725 | |
-1 | -27,273,725 |
Let's try dividing by 4:
27,273,725 ÷ 4 = 6,818,431.25
If the quotient is a whole number, then 4 and 6,818,431.25 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 | 27,273,725 | |
-1 | 27,273,725 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 1,090,949 | 5,454,745 | 27,273,725 |
-1 | -5 | -25 | -1,090,949 | -5,454,745 | -27,273,725 |
Here are some more numbers to try:
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