express 63 as a product of its prime factors

Firstly, it is important to understand what a prime number is. A prime number is one that is only divisible by 1 and itself. Thus, expressing 63 as a product of prime factors means putting it into a form whereby it is prime numbers multiplied together to give 63.To find the answer, you can use the complete factor tree method. In this method, you start with the original number 63 and express it as two products i.e. 7x9. Whenever you come across a prime number, you circle it so here 7 needs to be circled. Whenever you cannot circle a number, this means you can split it further into two products. Here 9 is not circled so you split it into 3x3. Now, since 3 is a prime number you need to circle both 3's. The final answer is all the circled numbers multiplied together. Thus, 63=3x3x7.

KG
Answered by Kiesha G. Maths tutor

25837 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a


How to factorise a quadratic with a coefficient of x^2 greater than one, for example 4x2+4x-15?


Expand (x+2)(x-3)(x+4)^2


A straight line L1 has equation y = 2x + 4. L2 is parallel to L1 and passes through the point (3,13). What is the equation of L2?


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning