#Numbers-1
abc is a three-digit number having 5 factors,what would be the number of factors for abcabc and find the value of abc?
Solution-
abcabc=abc*(1001)
abcabc = abc*(7*11*13)
As abc has odd factors abc must be (prime)^4, where prime number must be less than 7,
only such prime number is 5.
abc = (5^4)=625 ANS
Numbers of factors of abcabc = 5*2*2*2= 40 ANS
Solution-
abcabc=abc*(1001)
abcabc = abc*(7*11*13)
As abc has odd factors abc must be (prime)^4, where prime number must be less than 7,
only such prime number is 5.
abc = (5^4)=625 ANS
Numbers of factors of abcabc = 5*2*2*2= 40 ANS
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