501
Two composite numbers may or may not be relatively prime, depending on their factors. Relatively prime numbers are sets of two or more numbers having 1 as their greatest common factor (gcf). All even numbers have 2 as a common factor, so no even number is relatively prime with any other even number.
1 and 8, 2 and 4. both sets of numbers multiply to 8.
The prime factors of 168 are 2, 2, 2, 3 and 7 The prime factors of 60 are 2, 2, 3 and 5 As two 2s and one 3 are common to both sets of factors the Highest Common Factor of both numbers is 2 x 2 x 3 = 12.
The numbers on both of those lists are 3, 5 and 7. The GCF is 105.
Not at all. The definition of a composite number is one that has more than two factors - the exact opposite of a prime.
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.
prove that the following two sets are equal A=set of prime factors of 36 B=set of prime factors of 108 r
Different square numbers have different sets of factors. The only thing they all have in common is an odd number of factors.
501
To find the highest common factor (HCF) of 30, 210, and 700, you can use the prime factorization method. Prime Factorization: Prime factorize each number: 30 = 2 * 3 * 5 210 = 2 * 3 * 5 * 7 700 = 2^2 * 5^2 * 7 Identify Common Prime Factors: Identify the common prime factors among the numbers: 2, 3, 5, and 7. Multiply Common Prime Factors: Multiply the common prime factors: 2 * 3 * 5 * 7 = 210 Therefore, the HCF of 30, 210, and 700 is 210.
There is no prime composite number; an integer greater than 2 can be either prime or composite, but not both. Nor can you list all the prime number and all the composite numbers: you have infinite sets in both cases.
Relatively prime numbers are sets of numbers having 1 as their greatest common factor (gcf). Both 11 and 2 are prime numbers because their only factors are 1 and themselves.
1 is neither prime nor composite because there is only one set of multiples to receive 1, as opposed to 2 which is prime because there are two sets of multiples to receive 2, 2 X 1 and 1 X 2. To be prime there can only be two sets of multiples to receive the number, and for composite there has to be more than two.
Two composite numbers may or may not be relatively prime, depending on their factors. Relatively prime numbers are sets of two or more numbers having 1 as their greatest common factor (gcf). All even numbers have 2 as a common factor, so no even number is relatively prime with any other even number.
Proper factors occur when you list all the factors of a number except for 1 and the number itself. Common factors occur when you compare a minimum of two sets of factors and see which ones they share.
The prime numbers less than 25 are 2 3 5 7 11 13 17 19 23