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Problems based on Numbers Test 2

Question : 19 of 40

Marks: +1, -0

The number of odd composite divisors of 1,848 is:

Solution:

Concept:

An odd composite divisor is an odd divisor greater than

1

that is not prime.

Explanation:

Prime factorise

1848

1848 = 2^3 \times 3 \times 7 \times 11.

Odd divisors are formed only from

3

7

, and

11

Total odd divisors

= (1+1)^3 = 8

Exclude the number

1

and the three prime divisors

3

7

11

So, odd composite divisors

= 8 - 4 = 4

They are:

3 \times 7 = 21,

3 \times 11 = 33,

7 \times 11 = 77,

3 \times 7 \times 11 = 231.

Answer:

4

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