Respuesta :
Answer:
- Q1: c) 62
- Q2: d) 2015
Step-by-step explanation:
Q1
It pays to know divisibility rules and multiplication tables. If you do, you know that 37 and 53 are prime numbers (have no factors other than themselves and 1) and that 62 and 82 are divisible by 2:
- 62 = 2 × 31 . . . . where 31 is prime
- 82 = 2 × 41 . . . . where 41 is prime
The only one of any of these numbers that has factors all less than 36 is 62. So 62 is a factor of ... 1 × 2 × 3 ... × 30 × 31 × 32 ... ×36
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Q2
For the sum to be odd, there must be an odd number of odd numbers in it. The least number of odd numbers required is 1, so there can be up to 2015 even numbers.