Write 825 as a product of its prime factors.

  • Google+ icon
  • LinkedIn icon
  • 995 views

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 11*5*5*3 or, in a simplified format, 11 * 5^2 * 3

Ewan V. GCSE Maths tutor, A Level Maths tutor

About the author

is an online GCSE Maths tutor with MyTutor studying at Bath University

Still stuck? Get one-to-one help from a personally interviewed subject specialist.

95% of our customers rate us

Browse tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok