How do you write 36 as a product of its prime factors?

What is a prime number?
This is a number which can only be divided by 1, and itself. 1 is not considered to be a prime number. The first few prime numbers are: 2, 3, 5, 7, 11, 13. Any even number can be divided by 2 so it is not a prime number.
Writing 36 as a product of its prime numbers:
Firstly, 36 is even so it can be divided by 2. We can write 36 as 2 x 18. 

Now let’s focus on 18. 18 can be divided by 2 again. So far, we have:
2 x 2 x 9.

Let’s divide up 9 into its prime factors. 9 is 3 x 3.

Now we focus on all of the prime numbers on the Prime Factor Tree.

So, we can write 36 as 2 x 2 x 3 x 3.

CF
Answered by Charlotte F. Maths tutor

97207 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do you expand (2x-1)(3x+4) using the FOIL method?


Text books are stored on two shelves. Each shelf is 0.72m long. Each textbook is 30 millimetres wide. Could 50 textbooks be stored on these shelves? (3 marks)


Solve the equations giving your answer in 2d.p (5 Marks).: x^2 + y^2 = 36 , x = 2y + 6


Solve the simultaneous equations to find the values of x and y: 3x + 5y = -4 and 10x - 4y = -34


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