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Q: What are the three greatest whole numbers less than 200 such that each number has an odd number of factors?

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The way to be sure you have one of these is to take any three distinct prime numbers and multiply them. Those three prime numbers are then the only factors the product can have. An example is the number 30, which has factors of 2, 3 and 5.

It is 2, 10, and 11

Numbers with exactly three factors are squares of prime numbers.

The number 9: factors are 9, 3, and 1.

Numbers with three factors are squares of primes. So: 4, 9, 25

Related questions

144, 121 and 100

Yes. Square numbers have an odd number of factors. 49 has three factors.

Prime numbers have two factors. Prime squares have three factors. Square numbers have an odd number of factors but that number varies.

The numbers with only three factors are squares of prime numbers.

Calculate their prime factors.

Squares of prime numbers have three factors.

There are no prime numbers with three factors. By definition, a prime number has exactly two factors - 1 and itself.

A number has exactly three factors if and only if it is the square of a prime number.

Squares of prime numbers are the only numbers with three factors, since there must be only one nontrivial divisor for a number to have three factors. That number must thus be prime.

There is no common factors or GCF for a single number. The Greatest Common Factor (GCF) is the largest factor common to two or more numbers. For example, 17 is the GCF of 34, 51, and 102 because it is the largest number that is a factor common to all three numbers.

Prime numbers have two factors. Squares of primes have three factors.

There are no common factors for all three numbers.

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