0
The number 16 has an odd number of factors because it is a perfect square. When a number is a perfect square, it has an odd number of factors because each factor can be paired with another factor that is the square root of the number. In the case of 16, its factors are 1, 2, 4, 8, and 16, which can be paired as (1, 16), (2, 8), and (4). This results in an odd number of factors.
Well, isn't that just a happy little question! When a number like 16 has an odd number of factors, it means that the number is a perfect square. You see, perfect squares have an odd number of factors because they have one factor that is repeated - like a little echo of the number itself. Just imagine 16 as a little square painting, surrounded by factors that dance around it in perfect harmony.
Add your answer:
Earn +20 pts
What type of number has an odd number of factors example?
Square numbers have odd numbers of factors. Examples: 4, 9, 16
How can a number have an odd number of factors?
If a number is a perfect square, then you might say that one of its factors is a factor twice, so the list of factors has an odd number of entries. Example: 16. Factors of 16: 1, 2, 4, 8, 16. One of the "factor pairs" of 16 is [ 4 x 4 ], but '4' only shows up once on the list.
What two numbers of 24 32 48 45 60 and 72 have odd number of factors?
Square numbers have an odd number of factors. 1, 4, 9, 16...
What has an odd number of factors but is an even number?
Squares of even numbers like 4 and 16.
Can an odd number have odd numbers of factors?
Yes. Square numbers have an odd number of factors. 49 has three factors.
Which number from ten to twenty has an odd number of factors?
Only perfect squares can have an odd number of factors. The answer is 16. It has five factors: 1,2,4,8,16.
Which of these numbers has an odd number of factors 12 25 37 42 64 69?
16 has an odd number of factors; its factors are 1, 2, 4, 8, and 16
What type of number has an odd number of factors example?
Square numbers have odd numbers of factors. Examples: 4, 9, 16
What number is a factor of 32 and its sum is odd?
1 and 16 are factors of 32 and their sum is 17 which is an odd number
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.
How can a number have an odd number of factors?
If a number is a perfect square, then you might say that one of its factors is a factor twice, so the list of factors has an odd number of entries. Example: 16. Factors of 16: 1, 2, 4, 8, 16. One of the "factor pairs" of 16 is [ 4 x 4 ], but '4' only shows up once on the list.
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.
Which numbers between 1 and 40 have an odd number of factors?
These numbers between 1 and 40 have an odd number of factors: 4, 9, 16, 25, 36.
How many factors does the number 8 have?
No. 1 is odd, and is a factor of every number.
What two numbers of 24 32 48 45 60 and 72 have odd number of factors?
Square numbers have an odd number of factors. 1, 4, 9, 16...
What has an odd number of factors but is an even number?
Squares of even numbers like 4 and 16.
Odd number of factors?
Square numbers have an odd number of factors.
