What is the prime factorization of 70?
Understand the Problem
The question is asking for the prime factorization of the number 70, which involves breaking down 70 into its prime factors. The high-level approach to solve this will be to find the smallest prime numbers that multiply together to give 70.
Answer
$2 \times 5 \times 7$
Answer for screen readers
The prime factorization of 70 is $2 \times 5 \times 7$
Steps to Solve
- Identify the smallest prime number that divides 70
The smallest prime number is 2. Check if 70 is divisible by 2: $ 70 \div 2 = 35 $. So, one of the prime factors is 2.
- Identify the next smallest prime number that divides the result
Now we have 35. The smallest prime number that divides 35 is 5: $ 35 \div 5 = 7 $. So, another prime factor is 5.
- Determine if the next result is a prime number
We have 7 left. 7 is itself a prime number, so it is another prime factor.
- Combine all identified prime factors
The prime factors of 70 are 2, 5, and 7.
So, the prime factorization of 70 is $ 2 \times 5 \times 7 $.
The prime factorization of 70 is $2 \times 5 \times 7$
More Information
Prime factorization involves breaking down a composite number into its prime factors.
Tips
A common mistake is not verifying if a number is prime, leading to incorrect factorization.
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