Sure, let's solve this step-by-step:
1. Find the Highest Common Factor (HCF) of 15 and 30:
- List the factors of 15: [tex]\( 1, 3, 5, 15 \)[/tex]
- List the factors of 30: [tex]\( 1, 2, 3, 5, 6, 10, 15, 30 \)[/tex]
- Identify the common factors: [tex]\( 1, 3, 5, 15 \)[/tex]
- The highest of these common factors is 15.
So, the HCF of 15 and 30 is 15.
2. Multiply the HCF by the given multiplier (which is 12):
- HCF = 15
- Multiplier = 12
- Product [tex]\( = 15 \times 12 = 180 \)[/tex]
Therefore, the product of 12 and the HCF of 15 and 30 is 180.
