If a number is a multiple of both 5 and 7, which of the following is a possible

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Question: If a number is a multiple of both 5 and 7, which of the following is a possible value for this number?

Options:

Correct Answer: 35

Solution:

35 is a multiple of both 5 and 7 (5*7=35).

If a number is a multiple of both 5 and 7, which of the following is a possible value for this number?

If a number is a multiple of both 5 and 7, which of the following is a possible value for this number?

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 two numbers we are interested in: 5 and 7.
Step 3: Find the least common multiple (LCM) of 5 and 7. This is the smallest number that is a multiple of both.
Step 4: Calculate the LCM of 5 and 7. Since 5 and 7 are prime numbers, their LCM is simply 5 multiplied by 7.
Step 5: Perform the multiplication: 5 * 7 = 35.
Step 6: Conclude that 35 is a multiple of both 5 and 7.

Multiples – Understanding that a multiple of a number is the product of that number and an integer.
Least Common Multiple (LCM) – Identifying the least common multiple of two numbers, which is the smallest number that is a multiple of both.