0
Add your answer:
Earn +20 pts
Do perfect squares have an even or odd set of prime factors?
FactorsPerfect squares have an odd number of factors. If you think of factor pairs, the pair of factor that when multiplied together equals the given number, you realize that there are two factors for each pair until you come to the factor that when squared equals the number. For example, 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.Prime FactorsHowever, the situation is different with prime factors. It will depend on whether you list every prime factor or only the distinct prime factors. There will always be an even number of prime factors because when you square a number, you double the prime factors, which means you have an even number. That is not the case for distinct prime factors, because when you square a number, you are not adding any additional distinct factors. So, in some cases, there will be an even number of distinct prime factors and sometimes an odd number. Some examples follow.4 = 2 x 2. There are two prime factors, but one distinct prime factor.36 = 2 x 2 x 3 x 3. There are four prime factors and two distinct prime factors.900 = 2 x 2 x 3 x 3 x 5 x 5. There are six prime factors and three distinct prime factors.
Can two numbers have 20 as HCF and 535 as LCM?
HCF of 20 means the two numbers have common prime factors of 2, 2 and 5. However, LCM of 535 means that both of the numbers are odd. This cannot be the case if they have a prime factor of 2. Thus two numbers cannot have 20 as hcf and 535 as lcm.
What is the whole number greater than 1 with only two factors 1 and itself?
Two.A number with only two factors, one and itself, is called a prime number. The only even whole prime number is two. Your question implies that there is only one whole number greater than one which is prime, however, since odd numbers are whole numbers, and odd numbers (but not even) are prime, there are infinite prime numbers (since no one has checked each number to infinity to see if it's prime, and, obviously, never will, most assume that the list of prime whole numbers is not finite). Examples are 3, 5, and 13. 9 is an example of an odd number which is not prime.
What numbers have just two factors?
Prime numbers have only two factors, 1 and themselves, so only prime numbers could have only two factors
What is it called when a number only has two factors?
A number that has only two factors is called a prime. The only factors of a prime are 1 and the number itself.
Is the odd number are prime?
Not all of them because 39 is an odd number that is not a prime number because it has more than two factors whereas prime numbers have only two factors.
Why do all odd numbers have more prime factors?
They don't. 21 has two prime factors. 42 has three prime factors.
How many odd prime factors are there in 56?
56 = 2^3*7 so the only odd factors (apart of 1) is 7.
Do prime numbers have an odd number of factors?
A prime number has exactly two factors, 1 and the number itself.
What is an odd prime number?
Odd numbers end in 1, 3, 5, 7 or 9. Prime numbers have only two factors. 47 is an odd prime number.
Are Every odd number is a prime number?
No because as for example 39 is an odd number but it is also a composite number because it has more than two factors and prime numbers have only two factors.
What are the two odd prime numbers of 85?
As a product of its prime factors: 5*17 = 85
Do odd numbers have an odd or even number of factors?
Both. 9 has three factors. 11 has two factors.
Can odd numbers be composite?
If an odd number has more than two factors then it is a composite number but if it has only two factors then it is a prime number. Although all prime numbers are odd except for 2 many more odd numbers are composite numbers having more than two factors as for example 21 is an odd number whose factors are 1, 3, 7 and 21.
Will you get the same number of factors if you multiply a prime number and itself?
Prime numbers have two factors. Prime squares have three factors. Square numbers have an odd number of factors but that number varies.
When all the prime factors are odd the number is odd?
odd and prime are two different things ,but odd numbers can be prime or composite just depends if you can multiply it with another number except 1 here's an example 7 ( 7 is odd and is prime because it has 2 factors "7 & 1" 15 is odd ,but not prime because 5x3 is 15 and 15x1 is 15 5 and 3 are factors of 15 so all odd numbers are not prime all even numbers are composite except the number 2.
What are two numbers that are both prime and composite?
There are not any numbers that are both prime and composite. A prime number has exactly two factors. A composite number has more than two factors.
