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
Answered by Ewan V. Maths tutor

18474 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the following simultaneous equations: 3x + 5y = 19 and 8x - 2y = -18. If both equations represent lines in a coordinate system, at which point do they intersect?


Given that y r 1 2 x , complete this table of values. x 1 2 5 10 y 1


Simplify fully 3/(2x + 12) - (x - 15)/(x^2 - 2x - 48)


White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2. Work out the cost of 18 litres of the mixture.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences