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 ▸Write √5 ( √8 + √18 ) in the form a√10, where a is an integer, without using a calculator.
How to find the turning point on a curve?
How do I work out how a number is written in fraction form, if it is a reoccurring decimal?
The Diagram shows the Triangle PQR. PQ = x cm. PR = 2x cm. Angle QP^R = 30 degrees. The area of the triangle PQR = A cm^2. Show that x = (Squared Root){2A