3 Use prime factors to determine whether 18 is a factor of 252.
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To determine if 18 is a factor of 252, we first find the prime factorization of both numbers. For 18, we have 2 × 3². For 252, it breaks down into 2² × 3² × 7. Since the prime factorization of 18 (2 × 3²) is fully contained within the prime factorization of 252 (2² × 3² × 7), we can conclude that 18 is indeed a factor of 252. Understanding prime factorization can be a fun puzzle! Prime factors act as the building blocks of numbers, just like Legos for those who love to build. By breaking down numbers into their prime components, you can easily spot relationships and divisibility rules. This technique applies not only in math problems but also in fields like cryptography and data compression, showcasing the beauty of mathematics beyond simple arithmetic!
