write the prime factorization of 66. order the factors from least to greatest (for example, 2 × 2 × 3 × 5).
write the prime factorization of 66. order the factors from least to greatest (for example, 2 × 2 × 3 × 5).
Answer
Explanation:
Step1: Divide by the smallest prime number
Since (66) is even, divide by (2): (66\div2 = 33)
Step2: Continue factoring
(33) is divisible by (3) (sum of digits (3 + 3=6) is divisible by (3)). (33\div3=11)
Step3: Check for prime
(11) is a prime number.
Answer:
(2\times3\times11)