When the number is a square of a Prime number. Of course, it will have a repeated factor, but it will still only have 3 distinct factors. 4, 9, 25, 49, 121 are some examples.
A factor = a number which can be divided into the given number with no remainder so no, 3 is not a factor of 20
202
It's a perfect square.
Odd. I determined my answer by looking at the number of factors of a square number.
30, 42, 66, 78, 102, 105, 114, 138 all have exactly three distinct prime factors.
3 is a prime number because it has exactly two distinct factors. The only factors of a prime number are 1 and itself. The only factors of 3 are 1 and 3, so it is a prime number.
2. 2 and 3
There are an infinite number of them. 8 has three prime factors, 30 is the first with three distinct prime factors.
Seven distinct factors.
3*5*7*9 = 945 ...check if any number less than that has exactly four distinct factors.
no. 513=3^3×19 (4 prime factors, 2 distinct)
2*3*5 = 30
2 x 3 x 5 = 30
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?
when the number is a square of a prime number. Of course, it will have a repeated factor, but it will still only have 3 distinct factors. 4, 9, 25, 49, 121 are some examples.
How about: 2*3*5 = 30