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What is the three greatest whole numbers less than 200 such that each number has an odd number of factors?
144, 169, and 196 .
(You're probably mystified and amazed, and wondering how I came up with these so fast.
Well, I'll tell you. In the process of answering so many questions on this site that involve
factors, factor pairs, common factors, prime and composite numbers, I noticed something
very interesting: Every whole number has an even number of factors. The only way it can
seem to have an odd number of factors is if it's a perfect square. Then two of its factors
are the same, and it looks like there are an odd number of them. So, in order to answer
this question, I just found the three biggest perfect squares that are less than 200.)
What else can I help you with?
What are the three greatest whole numbers less than 200 such that each number has an odd number of factors?
The three greatest whole numbers less than 200 that each have an odd number of factors are 144, 169 and 196.
What are the three greatest whole numbers numbers less than 150 that have an odd number of factors?
144, 121 and 100
Will you get the same number of factors if you multiply a prime number and itself?
Prime numbers have two factors. Prime squares have three factors. Square numbers have an odd number of factors but that number varies.
Can an odd number have odd numbers of factors?
Yes. Square numbers have an odd number of factors. 49 has three factors.
How do you find the greatest common divisor in three numbers?
Calculate their prime factors.
How can you tell the next square number with only three factors?
The numbers with only three factors are squares of prime numbers.
What are the common factors and greatest common factor of 81620?
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.
What are five prime numbers that have three factors and what are their similarities?
There are no prime numbers with three factors. By definition, a prime number has exactly two factors - 1 and itself.
How do you determine if a number has 3 factors?
Squares of prime numbers have three factors.
What has excatly 3 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.
What is the greatest common factor of 62 93 and 31?
The greatest common factor (GCF) of 62, 93, and 31 is 31. To find the GCF, you need to determine the factors of each number and identify the largest factor that is common to all three numbers. In this case, 31 is the only factor that all three numbers share, making it the greatest common factor.
What numbers with exactly 3 factors are?
A number has exactly three factors if and only if it is the square of a prime number.
