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Which number has an odd number of different factors?
All square numbers have an odd number of factors.
Why do all non square numbers have even factors?
The factors of all numbers can be written in pairs. With square numbers, one of those pairs is the same number twice. When listed singly, square numbers have an odd number of factors. All others are even.
Do all numbers have an even number of factors?
No. Perfect square numbers have an odd number of factors.
What are all numbers with an even amount of factors?
All compound numbers that are not perfect squares.
What numbers have exactly 3 factors?
All numbers that are the square of primes have exactly 3 factors.
Are all square numbers also composite numbers explain?
Every square number (except 1) is composite. Prime numbers only have two factors, one and the numbers themselves. Since square numbers also have at least the square roots as factors, they have to be composite.
What is a perfect square factor?
All numbers have factors. Some factors are perfect squares. We call these perfect square factors. 9 is a perfect square factor of 27.
How many prime numbers are square?
None because square numbers have more than two factors
What are two examples of a type of number that has an odd number factor?
There are square numbers (numbers which are a square of an integer), such as 4. It's factors, listed are 1, 2, and 4. All square numbers have an odd number of factors. Then there's 1, which has only 1 factor: 1. All other numbers have an even number of factors. Prime numbers will have only 2 factors (2 is even).
Why do all numbers other than square numbers have an even number of factors?
Factors come in pairs. It is only in the case of a square number that the two middle factors are equal and so are counted only once.
What are all numbers with 6 factors?
The products of a square of a prime and a prime. That is, if a and b are primes, all numbers of the form a2b will have 6 factors. The 6 factors will be : 1, a, a2, b, ab, a2b
What type of number has a n odd number of factors?
all perfect square numbers
