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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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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.

The GCF of the given three numbers is 12

The GCF of the given three numbers is 11

Prime numbers have two and only two factors. Composite numbers have three or more.

9409.

There are an infinite number of prime squares.

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

Both. 9 has three factors. 11 has two factors.

That depends what number you are trying to find the factors of - all those three numbers are factors of the number 18.

Numbers that have only two factors are prime numbers. You're looking for the next three prime numbers over a certain number. But, you didn't tell us what number the three numbers have to be greater than.

Any three-digit multiple of 60, from 120 to 960, has the first five counting numbers as factors.

878 three digit numbers have an even number of factors. Every factor of a number has a pair, so there ought to be an even number of factors for every number. However, if a pair of the factors are the same number, then there will be an odd number of factors, that is if the number is a perfect square. Assuming three digit numbers are 100 to 999: From 100 to 999, the perfect squares are 102 = 100 to 312 = 961, a total of 31-10+1 = 22 numbers. So of the 999-100+1 = 900 three digit numbers, 22 have an odd number of factors, so 900-22 = 878 have an even number of factors.

A prime number is a whole number that has only two distinct factors: 1 and the number itself. A composite number has at least three distinct factors.

All prime numbers are odd except for the number 2.