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All non prime numbers have factors that are primes.
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What are all co prime numbers from 1-500?
501
Is it true or false that two composite numbers are relatively prime and explain?
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.
What are the four factors of the number 8?
1 and 8, 2 and 4. both sets of numbers multiply to 8.
What is the greatest common factor of 60 and 168?
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.
Find the greatest common factor what sets of prime factors 3x5x7x11 and 2x3x5x7x13 please explain and answer?
The numbers on both of those lists are 3, 5 and 7. The GCF is 105.
Are all prime numbers composite numbers?
Not at all. The definition of a composite number is one that has more than two factors - the exact opposite of a prime.
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.
Definition of elementary set concepts in maths?
prove that the following two sets are equal A=set of prime factors of 36 B=set of prime factors of 108 r
What are the factors of a squared number?
Different square numbers have different sets of factors. The only thing they all have in common is an odd number of factors.
What are all co prime numbers from 1-500?
501
Find the HCF for these sets of numbers 30, 210 and 700?
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.
Is 11 and 2 relatively prime?
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.
What are all the prime composite numbers?
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.
What is the differences between a product and a factor?
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.
Is it true or false that two composite numbers are relatively prime and explain?
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.
Is 1 a prime number explain why?
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.
How do you draw a line number its sets is prime number less than 25?
The prime numbers less than 25 are 2 3 5 7 11 13 17 19 23
