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144, 121 and 100

Q: What are the three greatest whole numbers numbers less than 150 that have an odd number of factors?

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

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 are no common factors for all three numbers.

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

squares of prime numbers

Related questions

The three greatest whole numbers less than 200 that each have an odd number of factors are 144, 169 and 196.

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

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

Calculate their prime factors.

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

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.

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

Squares of prime numbers have three factors.

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.

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

9409.

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.