A prime number is a number with two and only two factors: 1 (also known as unity) and itself. A composite number is a number with more than two factors; in other words, it has at least one factor besides 1 and itself. 105 has factors other than 1 and itself, so it is not a prime number. For example, it is divisible by 5. (You can tell this because the last digit is a 5. If the last digit - the digit in the ones place - is a 5 or a 0, the number is divisible by 5.) Therefore, 105 is a composite number.
Since one number is twice the other, the smaller number must be the greatest common factor. Since the greatest common factor is 7, that would make the other number 14. But, 7 is a prime number and has only one prime factor. However, the larger number, 14, has two prime factors. Also, the sum of the two numbers is 21, not 105. So, the information in the problem does not have a solution. Let us ignore the greatest common factor information. Let the smaller number be x. That means the larger number is 2x. x + 2x = 105 => 3x = 105 => x = 35. The two numbers are 35 and 70. The greatest common factor is 35. The smaller number, 35, has only two prime factors.
No prime number only has one factor. Each prime number has itself and 1 as factors. Now, the number 1 of course has only one factor, but it is technically not a prime number.
no, but I don't know why. One is not a prime number and by definition of a perfect number one must be a prime number.
a prime number is a number that you can plus by one
19
105 is one such number.
19 is the only one that only has 1 and itself as factors. It is the prime number.
If you calculate the prime factorization for 105 you'll have your answer; it has only three prime factors.
The second one.
1*105 3*35 5*21 7*15 Yes it is a composite number! A prime number has 2 factors, 1 and itself, and a composite number has 3 or more factors. The number 1 has only one factor and there fore is not prime and not composite.
A prime number is a number with two and only two factors: 1 (also known as unity) and itself. A composite number is a number with more than two factors; in other words, it has at least one factor besides 1 and itself. 105 has factors other than 1 and itself, so it is not a prime number. For example, it is divisible by 5. (You can tell this because the last digit is a 5. If the last digit - the digit in the ones place - is a 5 or a 0, the number is divisible by 5.) Therefore, 105 is a composite number.
The prime factors of 105 can only be prime numbers less than the square root of 105. The greatest prime less than the square root of 105 is 7, so the only numbers that need to be considered as possible prime factors of 105 are 2, 3, 5, and 7. 2 cannot be one of its prime factors because 105 is an odd number. Divide 105 by the next larger possible prime, 3, and the quotient is 35, proving that 3 is a prime factor of 105. 35 cannot be divided by 3, but 5 goes into 35 leaving a quotient of 7. The prime factorization of 105 is 3 x 5 x 7.
29 is a prime number. 15, 81, and 8 are composites.
24 is not a prime number because it has more than two factors.
Since one number is twice the other, the smaller number must be the greatest common factor. Since the greatest common factor is 7, that would make the other number 14. But, 7 is a prime number and has only one prime factor. However, the larger number, 14, has two prime factors. Also, the sum of the two numbers is 21, not 105. So, the information in the problem does not have a solution. Let us ignore the greatest common factor information. Let the smaller number be x. That means the larger number is 2x. x + 2x = 105 => 3x = 105 => x = 35. The two numbers are 35 and 70. The greatest common factor is 35. The smaller number, 35, has only two prime factors.
3x5x7 = 105.