Example: 30 and 42
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
At least two or more numbers are needed to find their GCF
Not necessarily. The prime factorization of the composite number 10 is 2 x 5. Composite numbers have three or more factors.
Not necessarily. The prime factorization of the composite number 10 is 2 x 5. Composite numbers have three or more factors.
Usually, but not necessarily and not if they're prime. All prime numbers have the same number of factors.
Saying "The" Instead of "A"The prime factorization is used instead of a prime factorization because there is only one correct prime factorization of any given number. Of course, that refers to composite numbers because prime numbers have no prime factorization.The use of the word "a" implies that more than one prime factorization is possible when it's not. The use of the word "the" signifies that only one prime factorization is possible, though there are various ways to arrive at it.
Prime factorization means you need to divide the number 201 until you cannot get any more whole numbers. your prime factorization is just 3 and 67 3 x 67 = 201
Composite numbers have more than two factors some of which are prime factors but prime numbers themselves have only two factors. A prime number has only 2 factors which are itself and one A composite number has more than 2 factors
As a product of its prime factors: 2*5*7 = 70 Note that at least two or more numbers are needed to find their HCF
The only number that has only one factor is '1'. Every other number has at least two factors: '1' and itself. If there are no more than that, then the number is a prime number.
Method of prime factorization is the best method to find GCF of two or more numbers.It is useful for both small numbers and large numbers.But, what is prime factorization?Ans: Prime numbers multiply together to form the original number.e.g. 50 can be expressed as the product of primes: 50 = 2x5x5Arrangement of prime numbers is not important and 50 can be written as 50 = 5x2x5Prime factorization of 60 = 2x2x3x5Prime factorization of 4 = 2x2It is clear that 2x2 is the greatest number which divides both 60 & 4.So, GCF = 2x2 = 4Visit the links provided below to know more about Prime Factorization and the method to find out GCF.
A prime number has no factors other than 1 and the number itself. If prime factorization of a number reveals one or more additional prime factors, the number is a composite.
no, for example the prime factorization of 4 is,{2,2} it only has two factors and one unique factor 2