There are only two correct choices: 1 and 67.
1 and 67
1, 737, 11, 67 I prefer my students to give factors as factor pairs rather than just a list in numerical order (1, 11, 67, 737). Your teacher may have different requirements.
The difference is between factor pairs and distinct factors. With square numbers, one of the factor pairs will be the same number twice. When listing the distinct factors, that number is only listed once.
67 is a prime number and is consequently only divisible by 1 and itself.67 is already prime; no need for a factorization.
201 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 4 factors of 201 are 1, 3, 67, and 201.The factor pairs of 201 are 1 x 201 and 3 x 67.The proper factors of 201 are 1, 3, and 67, or,if the definition you are using excludes 1, they are 3 and 67.The prime factors of 201 are 3 and 67.The distinct prime factors of 201 are, since there is no repetition of prime factors, also 3 and 67.The prime factorization of 201 is 3 x 67. [:
201 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 4 factors of 201 are 1, 3, 67, and 201.The factor pairs of 201 are 1 x 201 and 3 x 67.The proper factors of 201 are 1, 3, and 67, or,if the definition you are using excludes 1, they are 3 and 67.The prime factors of 201 are 3 and 67.The distinct prime factors of 201 are, since there is no repetition of prime factors, also 3 and 67.The prime factorization of 201 is 3 x 67.
67 and 1
1 and 67
67 is a prime number so its factors are 1 and 67
The factors of 67 are 1 and 67. For them to be common, they need to be compared to another set of factors.
The factors of 62 are: 1, 2, 31, 62 The factors of 67 are: 1, 67
The factors of 34 are: 1, 2, 17, 34 The factors of 67 are: 1, 67
871 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 4 factors of 871 are 1, 13, 67, and 871.The factor pairs of 871 are 1 x 871 and 13 x 67.The proper factors of 871 are 1, 13, and 67 or,if the definition you are using excludes 1, they are 13 and 67.The prime factors of 871 are 13 and 67.The 2 distinct prime factors (listing each prime factor only once) of 871 are 13 and 67.The prime factorization of 871 is 13 x 67.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.
134 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 4 factors of 134 are 1, 2, 67, and 134.The factor pairs of 134 are 1 x 134 and 2 x 67.The proper factors of 134 are 1, 2, and 67 or,if the definition you are using excludes 1, they are 2 and 67.The prime factors of 134 are 2 and 67.The 2 distinct prime factors (listing each prime factor only once) of 134 are 2 and 67.The prime factorization of 134 is 2 x 67.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.
4891 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 4 factors of 4891 are 1, 67, 73, and 4891.The factor pairs of 4891 are 1 x 4891 and 67 x 73.The proper factors of 4891 are 1, 67, and 73 or,if the definition you are using excludes 1, they are 67 and 73.The prime factors of 4891 are 67 and 73.The 2 distinct prime factors (listing each prime factor only once) of 4891 are 67 and 73.The prime factorization of 4891 is 67 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.
335 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 4 factors of 335 are 1, 5, 67, and 335.The factor pairs of 335 are 1 x 335 and 5 x 67.The proper factors of 335 are 1, 5, and 67 or,if the definition you are using excludes 1, they are 5 and 67.The prime factors of 335 are 5 and 67.The distinct prime factors (listing each prime factor only once) of 335 are also 5 and 67.The prime factorization of 335 is 5 x 67.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.