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 ▸Work out the value of 2a^2 + b^3 when a = 5 and b = –3
An amount of money was invested for 8 years. It earned compound interest at 2.5% per year. After 8 years the total value of the investment was £11,696.67. Work out the total interest earned.
Expand and simplify (x+5)(x+7)
Solve the simultaneous equations 2x + 3y = 4, 3x + 6y = 3