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AiLearn Blog - What are the factors of 24?

What are the factors of 24? Over 8,000 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, 24/1=24. Therefore, 1 and 24 are factors of 24, as 1 and itself are factors for all other numbers. Let's try 2. 24/2=12 - therefore, 2 and 12 are factors of 24. Trying 3: 24/3=8 - therefore, 3 and 8 are factors of 24. Trying 4: 24/4=6 - therefore, 4 and 6 are factors of 24. 5 is different - it doesn't divide 24 into a whole number (4.8). Therefore, 5 is not a factor.

We're now at 6 - this was a number we saw earlier, and so, we can now stop. Therefore, all the factors of 24 are: 1, 2, 3, 4, 6, 8, 12, and 24.