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Prime factors of 1729: are 7, 13 and 19 which makes three of them

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What numbers need to be checked to see if 127 is prime or composite?

Check as many as you want, you won't find any divisors. 127 is prime.


How many divisors does the number 23 have?

23 is a prime number. It has two divisors.


How many numbers go into 95?

95 = 5 * 19 both of which are prime, so 95 has 4 divisors as does any number that is the product of 2 primes. The divisors are 1,5,19 and 95.


How many prime numbers are there between 140 and 150?

149 is the only prime number betweeen 140 and 150.


Why is 0 and 1 are neither prime nor composite numbers?

The accepted definition of a prime number is a natural number which has exactly two distinct divisors. The number 1 has only one distinct divisor: itself. The number 0 can be said to have infinitely many distinct divisors.


How many prime numbers between 1 and 8888888888888888888888888888888888888888888888?

To determine the number of prime numbers between 1 and 8888888888888888888888888888888888888888888888, we can use the Prime Number Theorem. This theorem states that the density of prime numbers around a large number n is approximately 1/ln(n). Therefore, the number of prime numbers between 1 and 8888888888888888888888888888888888888888888888 can be estimated by dividing ln(8888888888888888888888888888888888888888888888) by ln(2), which gives approximately 1.33 x 10^27 prime numbers.


How many natural numbers less than 1000 have exactly three distinct positive integer divisors?

Prime squares have three factors. There are 11 of them in that range.


How many numbers between 1-10 are divisors of 48?

1,2,3,4,6,8 are divisors of 48, so there are 6 divisors of 48 between 1 and 10


How many prime numbers between 62 and 72?

There are three prime numbers between 62 and 72: 61, 67, and 71. Prime numbers are those greater than 1 that have no divisors other than 1 and themselves. In this range, 63, 64, 65, 66, 68, 69, and 70 are not prime. Therefore, the primes are 67 and 71.


Are there infinitely many natural numbers that are not prime?

This can be an extension to the proof that there are infinitely many prime numbers. If there are infinitely many prime numbers, then there are also infinitely many PRODUCTS of prime numbers. Those numbers that are the product of 2 or more prime numbers are not prime numbers.


How many prime numbers are on a die?

If you mean a regular six-sided die, there are 3: 2,3 and 5. Some people would argue that 1 is a prime number, but in fact 1 is not, as it only has one natural number divisor, while prime numbers have exactly two distinct natural number divisors.


If I multiply three different prime numbers the product must have how many positive divisors?

If you multiply three different prime numbers ( p_1, p_2, ) and ( p_3 ), the product can be expressed as ( p_1^1 \times p_2^1 \times p_3^1 ). To find the number of positive divisors, you add 1 to each of the exponents and then multiply the results: ( (1+1)(1+1)(1+1) = 2 \times 2 \times 2 = 8 ). Therefore, the product will have 8 positive divisors.