Write 825 as a product of its prime factors.
Prime factors are numbers that can only be fully divided by itself and 1.
For example, 2, 3 and 5 are prime numbers since they can only be divided by itself and 1. However, 6 is not a prime number because it can also be divided by 2 and 3.
Is it easy to see that 825 can be divided by 5 (a prime number). Doing this gives us 165.
Once again, 165 can be divided by 5! The result is 33.
33 can be divided by 3, giving us a quotient of 11.
11 can not be divided by any integer other than itself and 1, and so is a prime number in itself.
Therefore, 825 can be expressed as 1155*3 or, in a simplified format, 11 * 5^2 * 3
EV
Related Maths GCSE answers
All answers ▸Solve by factorisation. 2x(^2)+5x-12=0
Bob sprints down a 100 metre track as fast as he can and as he arrives at the finish, a light gate cuts a timer that has been active since Bob began his sprint. It reads 12.45 seconds. calculate Bobs average speed during the sprint.
Simplify the following expression: ( (x^5) / (x^2) ) ^ 4
Solve the simultaneous equations equation 1: 2x+3y=4 and equation 2: 5x+6y=7