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

86327 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I remember the area of a circle if it's not in the formula book?


How to write an introduction for an essay in Russian


Jake has a piece of string that is 126cm long. He cuts the string into 3 lengths with the ratio 4:3:2 . How long is each piece of string?


Determine the nature of the roots of the quadratic equation x^2 + 6x + 8 = 0, and plot the graph of this function.


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:

© 2025 by IXL Learning