Write 36 as a product of prime numbers.
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Step-by-step explanation:
36 = 2×13
36 = 3×2×2×3...
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First let’s recall what a prime number is: a prime number is a number that can only be divided by itself and 1. Prime factors are the prime numbers that multiply together to make a number (in our case this is 36). Conventionally, we do not consider 1 when writing a number as a product of its prime factors as obviously we could write this infinitely many times.We start therefore with the smallest prime number after 1: 2. Since 36 is even, 2 is a factor. Using a prime factor tree we see that we can factorise 36 as 2x18. Now we repeat the process on 18, continuing in this way will result in 2x2x3x3.
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