Best Answer

210=1024, which has factors of 2i with i between 0 and 10 inclusive.

Explanation

If the prime factorization of a number is p1a*p2b*p3c...

the number of factors is (a+1)*(b+1)*(c+1)... [because each pi can be raised to the 0, 1, 2,..., up through the exponent, so there are a+1 choices for the exponent of p1, b+1 choices for the p2, etc.]. But because 11 is prime, there can only be one pi that will yield exactly 11 factors [if, for example, there were two prime factors of the number, you would need (a+1)*(b+1)=11 but because 11 is prime, this won't work unless one of a or b is zero] . 2 is the smallest Prime number, and 210=1024 is the smallest whole number with exactly 11 factors.

Q: What is the least whole number with exactly 11 factors?

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64

The number 1 or a factor.

a prime number

If you disregard 1 and the number itself, then 12, with the factors 2, 3, 4 and 6. If you include 1 and the number itself, then 6 with factors 1, 2, 3 and 6.

36

Related questions

16

2 (1 and 2)

64

A prime number is a whole number with exactly two factors: 1 and itself.

The number 1 or a factor.

a prime number

Factors are whole numbers that divide exactly into a whole number. These numbers have no remainder. Primes, on the other hand, have exactly two factors which are 1 and itself.

Prime. The only factors of a prime number are 1 and the number.

1024

If you disregard 1 and the number itself, then 12, with the factors 2, 3, 4 and 6. If you include 1 and the number itself, then 6 with factors 1, 2, 3 and 6.

36

A prime number