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수학동아 - 폴리매스
함께 풀고 싶은 문제
나도 수학쌤 문장제 문제를 변형해 문제를 내는 곳입니다.
우럭
2021.01.07 03:56
조회 504
완전수를 보던 라임은 갑자기 생각이 났다.
'곱으로도 완전수라는 게 될까?'
그래서 라임이 이 문제를 만들었다.
"곱의 완전수"
아시다시피, 완전수는 자신을 제외한 약수들의 합이 자신과
같게되는, 그런 자연수이다.
라임은 이를 곱에서도 실현하려고 한다. 다음 문제를 보자.
1) 자신을 제외한 약수의 곱이 자신과 같아지는 400이하의 자연수의 개수는?
근데, 이럼 좀 싱거워서, 조금 더 짜게(?) 만들었다.
2) 자신을 제외한 약수의 곱들이 자신의 세제곱이 되는 수들중 400이하의 자연수의 개수는?
힌트를 주자면, 약수의 전체곱을 떠올리면 된다.
풀이는 필수이고, 각 소문제당 하나씩이다.
-
솔바람
Lv.10
2021.01.07 22:04
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솔바람
Lv.10
2021.01.08 00:54
좋아요0
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