If a three-digit number 'abc' has 3 factors, how many factors does the 6-digit number 'abcabc' have? | StudyFlash MCQ

Maths Number System

If a three-digit number 'abc' has 3 factors, how many factors does the 6-digit number 'abcabc' have?

यदि तीन अंकों की संख्या 'abc' के 3 गुणनखंड हैं, तो 6 अंकों की संख्या 'abcabc' के कितने गुणनखंड होंगे?

A

(a) 16

B

(b) 24

C

(c) 16 or 24

(c) 16 या 24

D

(d) 20

Correct Answer: Option C

Explanation / व्याख्या:

abc has 3 factors ⟹ abc=p² (prime sq). abcabc=abc×1001=abc×7×11×13. Depending on abc: 16 or 24 factors.

abc=p²। abcabc=p²×7×11×13। गुणनखंड=16 या 24।

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