Mathematics

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

Posted 6 months ago

Answers (2)

Bob Brown 6 months ago

Final answer: The prime factorization of 60 is 2, 2, 3, 5. Thus, 60 expressed as a product of its prime factors in index form is 2^2 x 3^1 x 5^1. Explanation: The number 60 can be expressed as the product of its prime factors. To do this, we divide 60 by the smallest prime number, which is 2. We continue dividing by 2 until the result is no longer divisible by 2. We then move to the next prime number, which is 3, and continue this process with the next prime numbers (5, 7, etc.) until we reach a prime number or 1. For 60, the prime factorization is: 60 / 2 = 30 (2 is a prime factor) 30 / 2 = 15 (2 is a prime factor) 15 / 3 = 5 (3 is a prime factor) 5 / 5 = 1 (5 is a prime factor) This gives us 2, 2, 3 and 5 as the prime factors of 60. In index form, we record the base (the prime number) and the index (the number of times it occurs), so 60 in index form is 22 x 31 x 51. Learn more about Prime Factors here: brainly.com/question/32793456 #SPJ3

Alice Johnson 6 months ago

Answer: , 3, 5 are the prime factors of 60. Step-by-step explanation:

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