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Date:___________________
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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.

Name: ___________________

Date:___________________

Grade 8 - Mathematics
5.9 Finding Number of Factors

Q 1: Find the number of factors for 36.
4
8
9
7

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

Q 3: Find the number of factors for 30.
9
4
7
8

 Q 4: Find the number of factors for 42.
7
8
4
9

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 Question 6: This question is available to subscribers only!


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