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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.
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.
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.
When you divide an even number by an even number is the answer an odd number?
Sometimes, but not always. For example: 8/4 = 2 is an even number, but 12/4 = 3 is an odd number.
What is a number that has identical even factors in multiplication?
All even numbers have at least one even prime factor.
What is an even sided shape?
a perfect square; it is an even number of sides (4); and all sides are identical
What has an odd number of factors but is an even number?
Squares of even numbers like 4 and 16.
What is the even number that has exactly 4 factors?
8 (1,2,4,8)
Is 4 a even composite number?
No, 4 is not a composite number. A composite number is a positive integer greater than 1 that has factors other than 1 and itself. However, 4 only has the factors 1, 2, and 4, so it is not composite. It is even, though, as it is divisible by 2.
What do you notice about the number of factors each of 12 14 20 4 9 and 16?
12, 14, and 20 have an even number of factors. 4, 9, and 16 also have an even number of factors, but since they're perfect squares, two of the factors are the same number in each case, so each appears to have an odd number of factors.
Can you explain why 10 has an even number of factors but 16 has an odd number of factors?
Because 16 is a square number and you wouldn't list the 4 twice.
Sort the numbers less than 100 that into groups that have five identical prime factorsfour identical prime factors three identical prime factors and two identical prime factors?
Five identical prime factors : 32, 96. Four identical prime factors : 16, 48, 80, as well as 81. Three identical prime factors : 8, 24, 40, 56, 72, 88, as well as 27, 54. Two identical prime factors : All multiples of 4 not yet listed (4, 12, 20...), all multiples of 9 not yet listed (9, 18, 36...), as well as 25, 50, 75, 100, and 49 and 98. Your teacher forgot "six identical prime factors" : 64.
What is the sum of even factors of a number?
2, 4, 6, 10, 12, 20, 30, 60 add up to 144.
What are some strange facts about the number 32?
Its an even number and its factors are all even. NOT... Since the factors of 32 are the following, 1-32, 2-16, 4-8, then that makes 1 a factor, which is NOT even.
What even number is not composite?
The number 2 is even, and prime, the opposite of composite. A prime number is one with no other factors besides itself and 1.
What is a number less than 20 and has 3 factors?
4 and 9. Factors of numbers come in pairs which means that every number ought to have an even number of factors. To have an odd number of factors, one factor pair must be a repeated number which means that only square numbers have an odd number of factors. The square numbers less than 20 are 1, 4, 9 & 16 and of these 4 & 9 have 3 factors: 4: 1, 2 & 4 9: 1, 3 & 9
