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When a factor of a number is composed of distinct primes, all the odd primes are raised to a power of 1, while the only even number which is 2 can be raised to any power. For example, the factor of 2134346 is 2*19*56167

Here all the primes are distinct primes.

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โˆ™ 2012-12-05 18:41:33
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Q: What is a distinct odd prime?
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Related questions

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.


How many distinct prime factors does 70 have?

The distinct prime factors of 70 are 2, 5, and 7, so it has three distinct prime factors.


What are distinct prime factors?

Distinct prime factors are the prime factors that are distinct (or different) from each other. A list of distinct prime factors is a list of one of each different prime number that is a factor. For example, the prime factors of 8 are 2, 2, and 2. The only distinct prime factor is 2, which occurs multiple times.


Is every odd number a prime?

No. 15 is odd, but not a prime.


All odd numbers less than 30 that are prime?

Prime number are number which have exactly two distinct factors, 1 and itself. Odd primes less than 30 are: 3, 5, 7, 11, 13, 17, 19, 23 and 29.


Are prime numbers are odd numbers?

With exception of the number 2, all prime numbers are odd. However, not all odd numbers are prime.


What are the distinct prime factors of 9?

The only distinct prime factor of 9 is 3


Are more prime numbers even or odd?

Odd. The only prime number that is even is two. Since there are many prime numbers that are odd (such as 3, 5, etc.), there are more odd prime numbers than even.


Are all odd numers prime?

no, 25 is odd and is not prime 25 = 5 x 5 There is only one even prime number:2, all other prime numbers are odd, but all odd numbers are not prime number


Is a prime number odd?

All prime numbers are odd except one prime number and that is 2.


Are all prime numbers odd numbers?

All prime numbers are odd with the only exception of the prime number 2. However, not all odd numbers are prime.


Is a prime number always an odd number?

Except for 2 all other prime numbers are odd. Otherwise, they would be divisible by 2 (and thus not a prime number). This does NOT mean that all odd numbers are prime, but that all prime numbers (aside from 2) are odd.


What numbers have only 1 distinct factor?

Prime numbers have one distinct prime factor.


What is the least odd prime number?

3 is the smallest odd prime number.


What is the lowest odd prime number?

The lowest odd prime number is 3 .


How do you find the sum of the distinct prime factor of a number?

Find the prime factorization. Identify the distinct prime factors. Add them up.


The number that is neither prime nor the sum of two distinct primes?

Basically any odd number, as long it isn't a prime, and the number two less isn't a prime. The reason is that the only way to express an odd number as the sum of two primes is if one of the numbers is 2, since if you add two odd numbers, you can only get an even number. For example: 27, 35, 51, 57, 65, etc.


Why are all odd prime?

Not all odd numbers are prime. Prime means you can only divid a number by itself.


Are there more even prime numbers or odd prime numbers?

All prime numbers are odd, exept of the first prime number 2.


What is the second prime and odd number?

The first prime number that is odd is 3, so the second odd prime number is 5. Some think 1 is the first prime nunber, but 1 is neither prime nor composite.


How many distinct prime factors does 168 have?

Three distinct prime factors.


What is the LCM of three distinct prime numbers?

The LCM of any three distinct prime numbers is their product.


What are the three odd prime numbers?

The question, "the" three odd prime numbers, is wrong. There are much more than three odd prime numbers - in fact, infinitely many. There are infinitely many prime numbers, and all except the number 2 are odd.


Are more number prime or odd?

There are more odd numbers than prime numbers.


What is an odd prime number on a dice?

Odd prime numbers on a dice are 3 and 5.