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What is a prime number that is less the a multiple of nine?
7
Is a prime number a factor of 1?
no, factors of a number would be less than that of the original number. A prime number is a number that has factors of only itself and 1.
What is the smallest positive integer N such that 2N is a perfect square 3N is a perfect cube and 5N is a perfect fifth?
For a number to be a perfect square, its prime factors must be separable into two identical sets. For a number to be a perfect cube, its prime factors must be separable into three identical sets. For a number to be a perfect 'fifth', its prime factors must be separable into five identical sets. ---- If N x 2 is separable into two identical sets of prime factors, then: * N must have an odd number of 2's in its prime factorisation. * All other prime factors of N must occur an even number of times. If N x 3 is separable into three identical sets of prime factors, then: * The prime factorisation of N must contain a number of 3's that is one less than a multiple of three. * All other prime factors of N must occur a number of times that is already a multiple of three. If N x 5 is separable into five identical sets of prime factors, then: * The prime factorisation of N must contain a number of 5's that is one less than a multiple of five. * All other prime factors of N must occur a number of times that is already a multiple of five. ---- From the above, we know that N's prime factorisation must contain 2's, 3's and 5's. How many times does 2 appear in the prime factorisation of N? - It must be an odd number. - It must be a multiple of three. - It must be a multiple of five. The smallest valid frequency is 15. How many times does 3 appear in the prime factorisation of N? - It must be an even number. - It must be one less than a multiple of three. - It must be a multiple of five. The smallest valid frequency is 20. How many times does 5 appear in the prime factorisation of N? - It must be an even number. - It must be a multiple of three. - It must be one less than a multiple of five. The smallest valid frequency is 24. ---- Therefore N = 215 x 320 x 524 = 6810125783203125000000000000000. That seems to be the smallest possible value.
Is 3 a multiple of 5?
No.3 is less than 5, thus cannot be a multiple of it; 3 is prime, therefore cannot be a multiple of any number besides 3 (which is one of its factors); by definition, 3 is ismply not a multiple of any number but 1 and 3.
What number less than 20 an odd number and has 2 different prime factors?
Well, darling, the number you're looking for is 15. It's less than 20, odd, and can be broken down into the prime factors 3 and 5. So, there you have it, a prime factor party with the number 15 strutting its stuff.
What is the number that is less than 160 has exactly three different prime factors what is the number?
How about 105 whose prime factors are 3, 5 and 7
What is your number your number is a multiple of 5 and less than 50 your number is a multiple of 3 your number has exactly 8 factors?
It is 30.
What is the highest number less than 100 with the least factors?
It is 97 which has only two factors because it is a prime number
What is a number that is palindromic 2 digit number not prime 2 less then prime and is not a multiple of 3?
It is 77.It is 77.It is 77.It is 77.
What are all the numbers less than 100 with exactly 3 factors that are prime?
By definition, a prime number has exactly two factors. So, there are no prime numbers with exactly three factors.
What makes the prime numbers less than 50 prime?
A number is prime if its only two factors are one and itself.
What is the number whose prime factors are all prime numbers less then 10 and no factor is repeated?
210
