If a number is both a factor of 36 and a multiple of 6, which of the following i
Practice Questions
Q1
If a number is both a factor of 36 and a multiple of 6, which of the following is the largest such number?
6
12
18
36
Questions & Step-by-Step Solutions
If a number is both a factor of 36 and a multiple of 6, which of the following is the largest such number?
Step 1: Identify the factors of 36. Factors are numbers that can divide 36 without leaving a remainder. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Step 2: Identify the multiples of 6. Multiples of 6 are numbers that can be obtained by multiplying 6 by whole numbers (0, 1, 2, 3, ...). The first few multiples of 6 are 6, 12, 18, 24, 30, 36, ...
Step 3: Find the common numbers between the factors of 36 and the multiples of 6. From the factors of 36 (1, 2, 3, 4, 6, 9, 12, 18, 36) and the multiples of 6 (6, 12, 18, 24, 30, 36), the common numbers are 6, 12, and 18.
Step 4: Determine the largest number from the common numbers found in Step 3. The common numbers are 6, 12, and 18, and the largest of these is 18.
