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.

Answered by Charlotte F. Maths tutor

54113 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve x2 +2x – 4 = 0, leaving your answer in simplest surd form (4 marks, non calculator question)


Solve the equation 3x^2+2x-3=3.


Simplify (2sin45 - tan45) / 4tan60


Write the following in their simplest form: a) 8^0 b) 64^(2/3) c) 0.54545454...


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