If a number is a multiple of 7 and 9, which of the following numbers could it be

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Question: If a number is a multiple of 7 and 9, which of the following numbers could it be? (2023)

Options:

Correct Answer: 63

Exam Year: 2023

Solution:

63 is a multiple of both 7 and 9 (7*9=63), while the others are not.

If a number is a multiple of 7 and 9, which of the following numbers could it be? (2023)

If a number is a multiple of 7 and 9, which of the following numbers could it be? (2023)

Step 1: Understand what a multiple is. A multiple of a number is the result of multiplying that number by an integer.
Step 2: Identify the numbers we are interested in: 7 and 9.
Step 3: Find the least common multiple (LCM) of 7 and 9. The LCM is the smallest number that is a multiple of both.
Step 4: Calculate the LCM of 7 and 9. Since 7 and 9 have no common factors, multiply them: 7 * 9 = 63.
Step 5: Check if the number 63 is a multiple of both 7 and 9. Yes, because 63 divided by 7 equals 9 and 63 divided by 9 equals 7.
Step 6: Look at the other numbers provided in the question and check if they can be divided by both 7 and 9 without leaving a remainder.
Step 7: Conclude that 63 is a valid answer since it is a multiple of both 7 and 9.

Multiples – Understanding what it means for a number to be a multiple of another number, specifically in the context of finding common multiples.
Least Common Multiple (LCM) – Identifying the least common multiple of two numbers, which in this case is 63 for 7 and 9.