Number Theory

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Across
  1. 6. two Find the number of factors of 42 x 63
  2. 7. A number is doubled, and 9 is added. If the resultant is tripled, it becomes 75. What is the number?
  3. 9. Find the number of factors of 63 x 12 ?
  4. 10. The product of two numbers is 120, and the sum of their squares is 289. The sum of the two numbers is
  5. 12. The difference between the greatest and least prime numbers, which are less than 100, is
Down
  1. 1. three Find the number of factors of 14400
  2. 2. find the last digit in 73
  3. 3. The sum of the first five prime numbers is
  4. 4. The first & last terms of an arithmetic progression are 32 & ­-43. If the sum of the series is ­-88, then it has how many terms?
  5. 5. How many numbers are there in between 100 and 400 that are divisible by 5?
  6. 6. How many times 6 is used when typing numbers from 1 to 100?
  7. 8. two Find the number of factors of 1080
  8. 10. Find the number of divisors of 1420
  9. 11. If the difference of the squares of two consecutive even integers is always divisible by the even number, then the number is