Q: What are the factor combinations of the number 25,272,107?
A:
Positive:
1 x 252721077 x 3610301
Negative:
-1 x -25272107-7 x -3610301
A:
Positive:
1 x 252721077 x 3610301
Negative:
-1 x -25272107-7 x -3610301
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 25,272,107, 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 | 25,272,107 | |
-1 | -25,272,107 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,272,107.
Example:
1 x 25,272,107 = 25,272,107
and
-1 x -25,272,107 = 25,272,107
Notice both answers equal 25,272,107
With that explanation out of the way, let's continue. Next, we take the number 25,272,107 and divide it by 2:
25,272,107 ÷ 2 = 12,636,053.5
If the quotient is a whole number, then 2 and 12,636,053.5 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 | 25,272,107 | |
-1 | -25,272,107 |
Now, we try dividing 25,272,107 by 3:
25,272,107 ÷ 3 = 8,424,035.6667
If the quotient is a whole number, then 3 and 8,424,035.6667 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 | 25,272,107 | |
-1 | -25,272,107 |
Let's try dividing by 4:
25,272,107 ÷ 4 = 6,318,026.75
If the quotient is a whole number, then 4 and 6,318,026.75 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 | 25,272,107 | |
-1 | 25,272,107 |
If you did it right, you will end up with this table:
1 | 7 | 3,610,301 | 25,272,107 |
-1 | -7 | -3,610,301 | -25,272,107 |
Here are some more numbers to try:
Try the factor calculator