0
Still curious? Ask our experts.
Chat with our AI personalities
Rafa
Ezra
FranThe number that has exactly 7 factors is a square of a Prime number. In general, a number with an odd number of factors must be a perfect square. This is because factors come in pairs, except when the number is a perfect square, where the square root is counted only once. Therefore, the only number with exactly 7 factors is the square of a prime number.
Add your answer:
Earn +20 pts
What is a number that has exactly 7 prime factors?
510510
What number between 40 and 60 has exactly three factors?
All prime squares have exactly three factors.49 has exactly three factors: 1, 7, and 49.
A number that has exactly two factors?
A prime number has exactly two factors.
Which number has exactly 15 factors?
The number that has exactly 15 factors is 28. To determine the number of factors a number has, you can prime factorize the number and then add 1 to each exponent in the prime factorization and multiply these numbers together. In the case of 28, the prime factorization is 2^2 * 7^1, so the number of factors is (2+1) * (1+1) = 3 * 2 = 6. To have exactly 15 factors, the number needs to be a square of a prime number, so 28 = 2^2 * 7^1 fits this criteria.
What numbers with exactly 3 factors are?
A number has exactly three factors if and only if it is the square of a prime number.
