Question
1.1 The prime factors of 30 are.... A. \( 1 ; 2 ; 3 ; 5 ; 12 \). B. \( 3 ; 5 ; 6 \). C. \( 2 ; 3 ; 5 \). D. None of the above.
Ask by Brewer Santiago. in South Africa
Feb 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The prime factors of 30 are 2, 3, and 5.
Solution
The correct answer is C. The prime factors of 30 are 2, 3, and 5.
Here's why:
- 2 is prime because its only divisors are 1 and 2.
- 3 is prime because its only divisors are 1 and 3.
- 5 is prime because its only divisors are 1 and 5.
- Although 30 can be factored as 2 × 3 × 5, none of the other options correctly list the prime factors without including non-prime numbers.
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Simplify this solution Beyond the Answer
Did you know that prime factors are the building blocks of numbers? For 30, these factors—2, 3, and 5—are special because they can only be divided evenly by 1 and themselves. So, whenever you're working with factors, remember to focus on those indivisible numbers! In practical terms, understanding prime factors helps in various real-world applications, such as encryption algorithms in cybersecurity, which play a crucial role in protecting our online data. So, the next time you see those numbers, remember they're not just math—they're essential to keeping our information safe!
