The prime factorization of 30 is 2 × 3 × 5.
To find the prime factorization, we start by dividing 30 by the smallest prime number, which is 2. This gives us:
- 30 ÷ 2 = 15
Next, we take the result, 15, and check if it can be divided by any prime number. The smallest prime number that divides 15 is 3:
- 15 ÷ 3 = 5
Finally, we are left with 5, which is itself a prime number. Thus, when we combine all the prime factors, we have:
30 = 2 × 3 × 5
This is the prime factorization of 30, showing that it is composed of the prime numbers 2, 3, and 5 multiplied together.