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

Answered by Ewan V. Maths tutor

13823 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find the roots of x^2+5x+4=0


John wants to invest £100 into a savings account for 15 years. If he invests in saving account A he will receive 3.5% simple interest and if he invests in savings account B he will receive 3% compound interest. Which account should he choose and why?


Solve the simultaneous equation: 3x + 2y = 4 , 4x + 5y = 17


√5(√8 + √18) can be written in the form a√10 where a is an integer. Find the value of a.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy