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Earn +20 ptsQ: What kind of numbers only have even factors?
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Do only square numbers have an even number of factors?
No, only square numbers have an odd number of factors.
Do all even numbers have only even numbers as factors?
No. 24 has 3 as a factor. 30 has 15 as a factor.
What numbers has only two factors?
Numbers with only two factors, the number itself and one, are called prime numbers. Examples of prime numbers are 2 (which is the only even prime number) and 17.
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 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).
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