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### Grade 8 - Mathematics5.9 Finding Number of Factors

 To find the number of divisors of a composite number. Let a be a natural number. A = bp.cq.dr...... Where b, c, d, ...... are distinct prime factors. The number of factors for a = (p+1).(q+1).(r+q)....... Example: Find the number of factors for 48. solution: 48 = 2 * 2 * 2 * 2 * 3 = 24 * 3 The number of factors of 48 = (4+1) * (1+1) = 10 Verification: The set of factors of 48 is {1,2,3,4,6,8,12,16,24,48} Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: Find the number of factors for 36.8794 Q 2: Find the number of factors for 24.8749 Q 3: Find the number of factors for 30.4879 Q 4: Find the number of factors for 42.9784 Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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