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AiLearn Blog - What are the factors of 30?

What are the factors of 30? Over 5,000 students Google this every year in the UK - so if you're struggling with this question, you're not alone.

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, 30/1=30. Therefore, 1 and 30 are factors of 30, as 1 and itself are factors for all other numbers. Let's try 2. 30/2=15 - therefore, 2 and 15 are factors of 30. Trying 3: 30/3=10 - therefore, 3 and 10 are factors of 30. Trying 4: 30/4=7.5 - therefore, 4 is not a factor of 30. 5 is different - 30/5=6. Therefore, 5 and 6 are factors of 30.

We're now at 6 - this was a number we saw earlier, and so, we can now stop. Therefore, the list of factors is: 1, 2, 3, 5, 6, 10, 15, and 30.