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

99745 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Cylinder A has the volume 8π cm^3 and the height 2 cm. Cylinder B is a similar shape with a volume of 216 cm^3. i) find the linear scale factor. ii) find the surface area of cylinder B


write x^2 + 10x - 6 in the form (x+a)^2 + b


Factorize x^2-x-20


Write x^2+4x-12 in the form (x+a)^2+b where 'a' and 'b' are constants to be determined.


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