0
Any product of 2 prime numbers will have 4 factors. Any Prime number to the 3rd power will have 4 factors.
6, 8, 10, 14, 15, 21, 22, 26, 27, 33, 34, 35, 38, 39, 46, 51, 55, 57, 58, 62, 65, 69, 74, 77, 82, 85, 86, 87, 91, 93, 94, 95
Still curious? Ask our experts.
Chat with our AI personalities
Judy
Professor
SteveOh, dude, let me break it down for you. Numbers with exactly 4 factors are a special breed. They're like the cool kids at the math party. So, we're looking at the squares of prime numbers because they only have 3 unique factors - 1, the prime number itself, and the square root of the prime number. In this case, we're talking about 4, 9, and 25. So, those are the numbers you're looking for under 100.
Numbers that have exactly 4 factors under 100 are square numbers of prime numbers. In other words, numbers that can be expressed as the square of a prime number. For example, 4 (2^2), 9 (3^2), 25 (5^2), and 49 (7^2) are all examples of numbers with exactly 4 factors under 100. These numbers have the factors 1, the prime number itself, the square root of the number, and the number itself.
Add your answer:
Earn +20 pts
What numbers under 100 have 12 factors?
Numbers under 100 that have 12 factors must be in the form of ( p_1^{11} ) or ( p_1^3 \times p_2^2 ), where ( p_1 ) and ( p_2 ) are distinct prime numbers. The prime factorization of 12 is ( 2^2 \times 3 ). Thus, the numbers under 100 with exactly 12 factors are ( 2^{11} = 2048 ) and ( 2^3 \times 3 = 24 ).
What are 3 numbers less than 100 that have exactly 4 factors each?
6 (1,2,3,6) 10 (1,2,5,10) and 15 (1,3,5,15).
How many even numbers between 1 and 1000?
There are exactly 50 even numbers if you include 100. There are exactly 50 odd numbers if you include 1.
Which numbers less than 100 have exactly 12 distinct factors?
24edit: nonethe smallest number with 12 distinct factors would be2*3*5*7*11*13*17*19*23*29*31*37>>100
Numbers between 1 and 100 with 3 factors?
4, 9, 25, and 49 are all of the numbers between 1 and 100 having 3 factors.
