Home / Question: How many positive integers less than $ 100 $ are relatively prime to $ 60 $?

Question: How many positive integers less than $ 100 $ are relatively prime to $ 60 $?

March 11, 2026

How Many Positive Integers Less Than 100 Are Relatively Prime to 60?

Factors of $ -90 $ that sum to $ 3 $: $ 9 $ and $ -10 $.
a(2a + 9) -5(2a + 9) = (a - 5)(2a + 9) = 0
Solution: The sum of the cubes of the first $ n $ positive integers is given by the formula:
Therefore, the number of positive integers less than 100 that are relatively prime to 60 is:
Question: What is the sum of all positive divisors of $ 216 $ that are perfect squares?
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