In the treasure hunting game, Grumpy has kept treasures on 28 and 70. What jump sizes will land on both the numbers?
Explanation: Jump sizes that land on both numbers are the common factors of those numbers.
Step 1: Find factors of 28: 1, 2, 4, 7, 14, 28.
Step 2: Find factors of 70: 1, 2, 5, 7, 10, 14, 35, 70.
Step 3: Find common factors: 1, 2, 7, 14.
Answer: The jump sizes that will land on both 28 and 70 are 1, 2, 7, and 14.
Explanation
Jump sizes that land on both numbers are the common factors of those numbers. Factors of 28: 1, 2, 4, 7, 14, 28. Factors of 70: 1, 2, 5, 7, 10, 14, 35, 70. Common factors: 1, 2, 7, 14.
Solution Steps
Step 1: Find factors of 28: 1, 2, 4, 7, 14, 28.
Step 2: Find factors of 70: 1, 2, 5, 7, 10, 14, 35, 70.
Step 3: Find common factors: 1, 2, 7, 14.
Step 4: These are the jump sizes that will land on both 28 and 70.