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Question

Difficulty: EasyFactors, Multiples, and Prime Factorization

What is the sum of the distinct prime factors of 3030?

Answer: 10

Answer

The sum of the distinct prime factors of 3030 is 1010.
The prime factorization of 3030 is 2×3×52 \times 3 \times 5. The distinct prime factors are 22, 33, and 55, and their sum is 1010.

Step-by-Step Solution

1
Find the prime factorization of 3030.
30=2×3×530 = 2 \times 3 \times 5
To break the composite number 3030 down into its prime components.
2
Identify the distinct prime factors.
The distinct prime factors are 22, 33, and 55.
Only prime numbers that divide 3030 should be included in the sum.
3
Add the distinct prime factors.
2+3+5=102 + 3 + 5 = 10
To calculate the final sum as requested by the question.

Key Concept

Prime factorization is the process of factoring a composite number into a product of prime numbers. The distinct prime factors of a number are the unique prime numbers that divide it.
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Topics

Factors, Multiples, and Prime Factorization

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