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Express 60 as the product of its prime factors. Write the prime factors in accending order and give your answer in index form.

User Luke Singham
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1 Answer

16 votes
16 votes

Answer:

Explanation:

Prime numbers are basically numbers that don't have any factors that multiply to get that number except for 1 and the number itself. (For example: 2, 3, 5, 7, 11, 13 and so on are all prime numbers)

The question is asking to express 60 into prime numbers. 60 is 30*2, and since 2 is a prime number, we can circle it. Then we continue on with 30, which can divide into 15*2. Again, since 2 is a prime number, we circle it, while 15 can be factored further because 5*3 is 15. Since 5 and 3 are prime numbers, we circle them too. In the end, we have the prime numbers 5, 3, 2, and 2. There are two 2's in our factorization, so therefore we can simplify that to 2^2 since they ask for your answer in index form. There is only one 5 and one 3, and they ask to write them in asscending order, and so the answer would be (2^2)*3*5. Hope this helps!

User Almalerik
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