Q: What are the factor combinations of the number 25,243,525?
A:
Positive:
1 x 252435255 x 504870525 x 1009741
Negative:
-1 x -25243525-5 x -5048705-25 x -1009741
A:
Positive:
1 x 252435255 x 504870525 x 1009741
Negative:
-1 x -25243525-5 x -5048705-25 x -1009741
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 25,243,525, 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 | 25,243,525 | |
-1 | -25,243,525 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,243,525.
Example:
1 x 25,243,525 = 25,243,525
and
-1 x -25,243,525 = 25,243,525
Notice both answers equal 25,243,525
With that explanation out of the way, let's continue. Next, we take the number 25,243,525 and divide it by 2:
25,243,525 ÷ 2 = 12,621,762.5
If the quotient is a whole number, then 2 and 12,621,762.5 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 | 25,243,525 | |
-1 | -25,243,525 |
Now, we try dividing 25,243,525 by 3:
25,243,525 ÷ 3 = 8,414,508.3333
If the quotient is a whole number, then 3 and 8,414,508.3333 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 | 25,243,525 | |
-1 | -25,243,525 |
Let's try dividing by 4:
25,243,525 ÷ 4 = 6,310,881.25
If the quotient is a whole number, then 4 and 6,310,881.25 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 | 25,243,525 | |
-1 | 25,243,525 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 1,009,741 | 5,048,705 | 25,243,525 |
-1 | -5 | -25 | -1,009,741 | -5,048,705 | -25,243,525 |
Here are some more numbers to try:
Try the factor calculator