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Question
Macy is one step away from hitting the jackpot! All she has to do is answer the following question:
What is the smallest number that is exactly divisible by 10 and 30?
Help Macy win the jackpot.
Macy is one step away from hitting the jackpot! All she has to do is answer the following question:
What is the smallest number that is exactly divisible by 10 and 30?
Help Macy win the jackpot.
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Solution
The correct option is C 30
We can find the smallest number that is divisible by 10 and 30 by finding the LCM of the two numbers by the prime factorization method.
Prime factorization of 10 = 2 × 5
Prime factorization of 30 = 2 × 3 × 5
Thus, the least common multiple of 10 and 30 is:
2 × 3 × 5 = 30
Hence, 30 is the smallest number that is exactly divisible by 10 and 30.
We can find the smallest number that is divisible by 10 and 30 by finding the LCM of the two numbers by the prime factorization method.
Prime factorization of 10 = 2 × 5
Prime factorization of 30 = 2 × 3 × 5
Thus, the least common multiple of 10 and 30 is:
2 × 3 × 5 = 30
Hence, 30 is the smallest number that is exactly divisible by 10 and 30.
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