What number has 10 factors?

Answer 1

48 is the lowest number having 10 factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Answer 2

Oh, dude, you're hitting me with some math vibes here. So, a number with 10 factors would be 30. It's like, got factors 1, 2, 3, 5, 6, 10, 15, 30, and then the negatives of those numbers too. So, yeah, 30 is your guy for 10 factors.

Answer 3

A number with exactly 10 factors must be in the form of ( p^4 ) or ( p^9 ), where ( p ) is a Prime number. This is because the total number of factors of a number ( n ) can be calculated using its prime factorization: if ( n = p_1^{a_1} \times p_2^{a_2} \times \ldots \times p_k^{a_k} ), then the total number of factors of ( n ) is given by ( (a_1 + 1) \times (a_2 + 1) \times \ldots \times (a_k + 1) ). In this case, we need to find a prime number such that ( (1+1)(1+1)(1+1) = 2 \times 2 \times 2 = 8 ) factors. The next prime number, ( 3 ), gives us ( (1+1)(1+1) = 4 ) factors. The next prime number, ( 5 ), gives us ( (1+1)(1+1) = 4 ) factors. The next prime number, ( 7 ), gives us ( (1+1) = 2 ) factors. Finally, the prime number ( 11 ) gives us ( (1+1) = 2 ) factors. Therefore, the number with exactly 10 factors is ( 2^9 = 512 ).

Answer 4

Well, honey, the number you're looking for is 48. It has 10 factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. So, there you have it, a number with 10 factors, just like that!

Answer 5

80

Answer 6

112

Answer 7

48