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How do you find the sum of the distinct prime factor of a number?
Find the prime factorization. Identify the distinct prime factors. Add them up.
What number is neither prime or the sum of two distinct primes?
One.
What is the smallest whole number that has exactly 6 distinct positive divisors?
The smallest whole number that has exactly 6 distinct positive divisors is 12. The divisors of 12 are 1, 2, 3, 4, 6, and 12. These are the only positive integers that evenly divide 12, making it the smallest number with exactly 6 distinct positive divisors.
What is the positive difference between the number of distinct prime factors of 15 2 and the number of distinct prime factors of 64 3?
Oh, dude, the positive difference between the number of distinct prime factors of 15 squared (225) and 64 cubed (262,144) is like 4. Prime factors are like those VIP numbers that can't be divided by anything except 1 and themselves. So, 225 has 2 distinct prime factors (3 and 5), and 262,144 has 1 distinct prime factor (2). Subtract 1 from 2, and you get 1. Wow, math can be fun, right?
What is the meaning of prime number?
A prime number is a number with just two distinct positive integer factors - the number itself, and 1. For example, 7 is prime, but 9 is not.
