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secondary 2 | Maths
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If Alan is correct, then the numbers 12, 22, 32, 42 and so on are prime numbers because they all end in 2. This does not make sense, right?
Let's think. 3 is a prime number. 5 is a prime number. But putting 3 in the tens place and 5 in the ones place, we see that 35 is not a prime number, even though their components 3 and 5 are both prime numbers. This is because we are considering the number as a single unit, rather than separate units.
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A prime number is a number whose ONLY factors are 1 and itself, where "itself" is an integer more than 1.
We can decompose 63 into 1 x 63, 3 x 21 and 7 x 9 and conclude that 63 has six factors.