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How many distinct strings of factors are there for a given number?
Wiki User
∙ 11y ago
It varies with each given number.
Wiki User
∙ 11y ago
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How many distinct longest fACTOR strings are there for any given number?
one
What is factors that appear in a complete list of factors for a given number only once?
distinct factors
What is called when factors that appear in a complete list of factors for given number only once?
distinct factors
How many longest strings of factors are there for a given number?
For composite numbers, only one string of factors is the longest; the prime factorization.
Which of these numbers when given in their prime factorization form has the least number of distinct prime factors 80 100 144 289 441?
289 does.
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.
One of two factors of a given number?
If the given number has two factors, one of them is 1.
What are the factors of 3 and 20?
A factor = a number which can be divided into the given number with no remainder so no, 3 is not a factor of 20
How do you know a number if its factors are given?
There are two ways in which the factors can be given. You are given all the prime factors (and their multiplicity). In that case simply multiply them all together. Or You are given each factor. In this case, the biggest of these is the number.
Is the number of factors of a given number is limited?
Yes.
How do you find the cardinal number to a set?
Count the number of distinct elements in the set.
What is the difference between factors of a number and prime factors of a number?
All numbers have factors. Some factors are prime numbers. These are known as prime factors. The set of prime factors is a subset of the set of factors for any given number.
