Prime factorizations are expressions of numbers as products of prime factors. The prime factorization of 30 is 2 x 3 x 5.
prove that the following two sets are equal A=set of prime factors of 36 B=set of prime factors of 108 r
128 64,2 32,2,2 16,2,2,2 8,2,2,2,2 4,2,2,2,2,2 2,2,2,2,2,2,2
R = 118
63
2 and 19
11 and 17
Just 2.
2 x 5 x 5 x r x r x a x s = 50r2as 2 and 5 are prime.
The prime factors are: 2 x 2 x 2 x 3 x 5
2, 3 and 11
The term "main prime factor" is interpreted as "prime factor" (all prime factors are main prime factors).Since 73 is prime, your question can be generalized to:What are the prime factors of a prime?You may know that all numbers have a unique factorization in primes. This is a theorem. What you need is the definition of a prime number to prove this theorem in the first place.A number which has only two divisors, namely 1 and the number itself, is called prime. Hence, by definition, the prime factors of a prime are the prime and 1.So your question is trivial, asking to recognize 73 to be a prime. The answer is 73.The question of how to determine that 73 is prime is a good one.Basically you can prove it by noting that it can not be divided by any prime smaller than 73^(1/2) < 8:73 / 2 = 36 R 1 -- the expression n R m means n with remainder m73 / 3 = 24 R 173 / 5 = 14 R 373 / 7 = 10 R 3Hence (since 2, 3, 5 and 7 are all primes smaller than 8), 73 is prime.2 is prime (there is not integer between 1 and 2)3 is prime, since 3/2 = 1 R 15 is prime, since 5/2 = 2 R 1 (we do not need to test with 3, because 5 < 3^2)7 is prime, since 7/2 = 3 R 1 (we do not need to test with 3, because 7 < 3^2)
The prime factorisation of 110 is 2*5*11.Therefore all factors of 110 are 2p*5q*11r where each of p, q and r can be 0 or 1.
1 and 79 because it's a prime number
Prime factorizations are expressions of numbers as products of prime factors. The prime factorization of 30 is 2 x 3 x 5.
The prime factorisation of 110 is 2*5*11.Therefore all factors of 110 are 2p*5q*11r where each of p, q and r can be 0 or 1.
prove that the following two sets are equal A=set of prime factors of 36 B=set of prime factors of 108 r