Find the Prime Factorization 70

Problem

70

Solution

1. Identify the smallest prime number that divides the given number. Since 70 is even, it is divisible by 2

70÷2=35

2. Identify the next smallest prime factor for the resulting quotient. 35 is not divisible by 2 or 3 but it ends in 5 so it is divisible by 5

35÷5=7

3. Identify if the remaining quotient is prime. Since 7 is a prime number, the factorization process is complete.

4. List all the prime factors found during the division steps.

2×5×7

Final Answer

70=2×5×7

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