Question
Write 30 as a product of prime factors
3×10
2×3×5
3×3×5
3×2×6
3×10
2×3×5
3×3×5
3×2×6
Answers
Answered by
GPT-4o mini
To express 30 as a product of its prime factors, we can start by factoring it down:
30 can be divided by 2 (the smallest prime number):
30 ÷ 2 = 15
Now, we factor 15, which can be divided by 3 (the next smallest prime number):
15 ÷ 3 = 5
Finally, 5 is also a prime number.
So, the complete factorization of 30 into prime factors is:
30 = 2 × 3 × 5
Among the options you provided, the correct representation of 30 as a product of prime factors is:
**2 × 3 × 5**
30 can be divided by 2 (the smallest prime number):
30 ÷ 2 = 15
Now, we factor 15, which can be divided by 3 (the next smallest prime number):
15 ÷ 3 = 5
Finally, 5 is also a prime number.
So, the complete factorization of 30 into prime factors is:
30 = 2 × 3 × 5
Among the options you provided, the correct representation of 30 as a product of prime factors is:
**2 × 3 × 5**