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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 8 - Mathematics
5.9 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 42.
9
7
4
8

Q 2: Find the number of factors for 24.
8
9
7
4

Q 3: Find the number of factors for 60.
8
12
14
9

Q 4: Find the number of factors for 72.
9
12
14
8

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


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