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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 m
73 / 3 = 24 R 1
73 / 5 = 14 R 3
73 / 7 = 10 R 3
Hence (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 1
5 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)
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What are the factors and prime factors of 73?
73 is a prime number. The only two factors of a prime number are 1 and itself.The two factors of 73 are 1 and 73. There are only two factors of a prime number.The only factor pair of 73 is 1 x 73. There is only one factor pair of a prime number.The proper factors of 73 are only 1 or,if the definition you are using excludes 1, there are none.The only prime factor of 73 is 73. There is only one prime factor of a prime number - itself.The distinct prime factor (listing each prime factor only once) of 73 is also 73.The prime factorization of 73 is 73. In some cases, to emphasize that it is prime, you might write the prime factorization as 1 x 73.NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common.73 is already a prime number.
How do you find the factor for 73?
73 is a prime number. A prime number has only two factors, one and the number itself.
What is the greatest common factor of 18 and 73?
The GCF of a prime number and a composite number is 1 if the former is not a factor of the latter. 73 is a prime number and 18 is a composite number and 73 is not a factor of 18 because 18 is not divisible by 73. So, GCF(73, 18) = 1.
What is the factor of 73 and is it composite or prime?
Its only factors are itself and one because 73 is a prime number
What is the greatest common factor of 51 and 73?
73 is a prime number so 51,3x17 and 73 only have the number 1 as the greatest common factor.
What is the greatest common factor of 73 and 127?
This is tricky. Once you determine that 73 is a prime number then you can ignore 127 (since 73 is not a factor of 127). So, the greatest common factor is 1. Note: if you asked 73 and 146 then the answer would be 73. Anytime one of the numbers is a prime - then the answer is EITHER 1 or the prime number (if the other number is a multiple of the prime).
Is 3 a factor of 73?
No and 73 is a prime number which has only two factors which are itself and one
Are 45 and 73 prime numbers?
73 is a prime number, but 45 is not a prime number.
Is a 73 a prime number?
Yes, 73 is a prime number.
What is the greatest common factor of 29 and 73?
The greatest common factor of a prime number & a composite number is 1 if the composite number is not divisible by the prime number. 81(composite number) is not divisible by 29(prime number) so, gcf(29,81) = 1.
Is 73 prime?
Yes, 73 is a prime number.
Is 73 prime or compiste?
73 is a Prime Number
