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.
How many factors does 36 have?
36 has 9 factors including 1 and 36. Its factors are: 1, 2, 3, 4, 6, 9, 12, 18, 36.
Which number has the most factors 6 17 25 or 36?
6 has 4 factors.17 has 2 factors.25 has 3 factors.36 has 9 factors ... 1, 2, 3, 4, 6, 9, 12, 18, and 36.I'll go with 36.
What is the smallest number that has both 4 and18 as factors?
36
What is the prime factor of 2x2x3x5?
36
How many distinct prime factors does the number 36 have?
2. 2 and 3
How many distinct factors does 36 have?
Nine distinct factors: 1 2 3 4 6 9 12 18 36.
What are the distinct factors of 36?
The distinct factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
How many factors does the number 36 have?
Nine factors
Why is the number 36 a composite number?
The number 36 is a composite number because it has more than two distinct factors. Specifically, 36 can be evenly divided by 1, 2, 3, 4, 6, 9, 12, 18, and 36. Since it has factors other than 1 and itself, it is considered composite.
How many distinct factors does 72 have?
12 distinct factors: 1 2 3 4 6 8 9 12 18 24 36 72.
How many numbers less than 100 have exactly nine distinct factors?
Just 36.
How many factors does 1980 have?
The number 1,980 has 36 factors.
What is the sum of the distinct prime factors of 36?
5
Are factor pairs distinct factors?
Not necessarily. (6,6) is a factor pair of 36, but only one of the sixes is a distinct factor of 36.
What is the definition of distinct factors?
In this case "distinct" means "don't repeat any." The prime factorization of 36 is 2 x 2 x 3 x 3 The distinct prime factors of 36 are 2 and 3
What is Distinct factors?
Distinct means separate. Sometimes, as in the case of square numbers, factors are repeated. The factor pairs of 16 are (16,1)(8,2)(4,4) The distinct factors of 16 are 1, 2, 4, 8, 16 The same is true of prime factors. The prime factorization of 36 is 2 x 2 x 3 x 3. The distinct prime factors of 36 are 2 and 3.
