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If a number is a multiple of both 7 and 9, which of the following numbers is a p
If a number is a multiple of both 7 and 9, which of the following numbers is a possible candidate?
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Practice Questions
1 question
Q1
If a number is a multiple of both 7 and 9, which of the following numbers is a possible candidate?
63
72
81
90
Show Solution
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63 is a multiple of both 7 (7x9) and 9 (9x7).
Questions & Step-by-step Solutions
1 item
Q
Q: If a number is a multiple of both 7 and 9, which of the following numbers is a possible candidate?
Solution:
63 is a multiple of both 7 (7x9) and 9 (9x7).
Steps: 6
Show Steps
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 x 9 = 63.
Step 5: Check if 63 is a multiple of both 7 and 9. 63 divided by 7 equals 9, and 63 divided by 9 equals 7, confirming it is a multiple of both.
Step 6: Conclude that 63 is a possible candidate since it meets the criteria of being a multiple of both 7 and 9.
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