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How many factors of 30 are even numbers?
To determine the factors of 30 that are even numbers, we first find the prime factorization of 30, which is 2 x 3 x 5. An even number is divisible by 2, so we are looking for factors that contain at least one factor of 2. There are 4 factors of 30 that are even numbers: 2, 6, 10, and 30.
Do even numbers always have more factors than odd numbers?
Even numbers do not necessarily have more factors than odd numbers. For example, the number 6 has 4 factors, 1, 2, 3 and 6. However, the number 63 has 1, 3, 7, 9, 21, 63 as its factors. We can see that 63 has more factors than 6. On the other hand, 3 has just 2 factors, 1 and 3. This means that the whether a number has many factors is not related to if it is odd or even.
Is 64 a composite number of a prime number?
64 is a composite number. A prime number has exactly two factors, 1 and the number itself, and no even number greater than 2 is a prime. The factors of 64 are 1, 2, 4, 8, 16, 32, and 64.
What is an example of a composite number?
12 is a composite number. Its factors are 1, 2, 3, 4, 6, and 12. 4 is also a composite number. Its factors are 1, 2, and 4. Any number that has factors in addition to 1 and itself is a composite number.
Numbers that have an odd number of factors are?
Perfect squares ( also called square numbers) have an odd number of factors and primes squared have 3 factors. Brief Explanation: If you start with a prime number, it has 2 factors by definition. Square that number and you have 3 factors, which is an odd number. So primes squared always have an odd number of factors. For example, 5 has 1 and 5 as factors, 25 has 1,5, and 25. What about an odd number such as 21 which is not the square of a prime. It has factors 1, 21, 3 and 7 so an even number of factors. How about 27, 1,27, 3, 9 once again even. What I was trying to show is that factors of numbers come in pairs and so only certain numbers will have an odd number of factors. Let's look at one more perfect square that is not a prime squared. How about 16 which is 4 squared. The factors are 1,2,4,8,and 16 which is an odd number of factors. Looking at these as pairs we see the factor pairs of 16 are 1 x 16, 2 x 8, and 4 x 4, giving us the factors of 1, 2, 4, 8, and 16 - an odd number of factors. So we conclude that perfect squares have an odd number of factors and primes squared have 3 factors.
