Write the prime factorization of 14
Understand the Problem
The question is asking for the prime factorization of the number 14, which involves breaking it down into its prime factors. The prime factors of 14 are the prime numbers that multiply together to yield 14.
Answer
The prime factorization of 14 is $2 \times 7$.
Answer for screen readers
The prime factorization of 14 is $2 \times 7$.
Steps to Solve
-
Identify the Number
The number we want to factor is 14. -
Start with the Smallest Prime Number
The smallest prime number is 2. Check if 2 divides 14 evenly.
Since $14 \div 2 = 7$, we find that 2 is a factor. -
Check the Resulting Quotient
Now we have one factor: 2. The quotient we found is 7. Check if 7 is a prime number.
7 is not divisible by any prime number other than itself (2, 3, 5), so it is a prime number. -
Write the Prime Factorization
We can now write the prime factorization of 14 using its prime factors:
$$ 14 = 2 \times 7 $$
The prime factorization of 14 is $2 \times 7$.
More Information
Prime factorization involves breaking down a number into a product of prime numbers. Prime numbers are those greater than 1 that have no divisors other than 1 and themselves. In the case of 14, it's simply the product of the prime numbers 2 and 7.
Tips
- Forgetting to check if the quotient is a prime number after finding one factor. It's essential to confirm that all factors are primes.
- Assuming that all numbers can be factored the same way without recognizing the specific properties of prime numbers.
