Number System Practice Test 4

Question : 15 of 40

Marks: +1, -0

Find the total number of different factors of240 excluding 1 and 240.

Solution:

240 =2^4×3^1×5^1

Factors including 1 and 240 is
= (4 + 1) (1 + 1) (1 + 1)
= 5 × 2 × 2 = 20
Factors excluding 1 and 240 = 20 - 2 = 18.

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