Question 7 - Figure it out - Page 110, 111 - Chapter 5 Class 6 - Prime Time (Ganita Prakash)

Transcript

Question 7 In the treasure hunting game, Grumpy has kept treasures on 28 and 70. What jump sizes will land on both the numbers?In treasure hunting game, Jump sizes landing on both numbers would be common factor Thus, we need to find common factor of 28 and 70 We find factors of 20 and 28 separately Factors of 28 1 × 28 = 28 2 × 14 = 28 4 × 7 = 28 7 × 4 = 28 We stop here as 4 & 7 have occurred earlier So factors of 28 are 1, 2, 4, 7, 14, 28 Factors of 70 1 × 70 = 70 2 × 35 = 70 5 × 14 = 70 7 × 10 = 70 10 × 7 = 70 We stop here as 10 & 7 have occurred earlier So factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70 So, Common factors are 1, 2, 7, 14 Thus, the winning jump sizes are 1, 2, 7, and 14