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AiLearn Blog - What are the factors of 36?

What are the factors of 36? This was asked by more than 5,000 students on Google this year in the UK - so this is a question that many of you are asking.

Our approach to factorisation in this case is very simple - we start at 1, divide the number we are calculating the factors for, and increment this until we start to see repeating factors, or go over half of the value of the number being factorised. Let's see this with an example.

Starting with 1, 36/1=36. Therefore, 1 and 36 are factors of 36, as 1 and itself are factors for all other numbers. Let's try 2. 36/2=18 - therefore, 2 and 18 are factors of 36. Trying 3: 36/3=12 - therefore, 3 and 12 are factors of 36. Trying 4: 36/4=9 - therefore, 4 and 9 are factors of 36. 5 is different - it doesn't divide 36 into a whole number (7.2). Therefore, 5 is not a factor. We're now at 6 - 36/6= 6 - therefore, 6 is a factor, but we're now also repeating factors (6 came up twice here), so we can stop.

Therefore, the list of factors is: 1, 2, 3, 4, 6, 9, 12, 18 and 36.