What is the smallest number that has 10 factors?

Answer 1

2520 The smallest number is known as the Lowest Common Multiple or LCM. LCM is equal to the product of every prime numbers with the largest exponent that describe the factors. In this case: 1 = 1^1, 2 = 2^1, 3 = 3^1, 4 = 2^2, 5 = 5^1, 6 = 2^1 AND 3^1, 7 = 7^1, 8 = 2^3, 9 = 3^2, 10 = 5^1 AND 2^1. Remember only the primes with the biggest exponent are used. 1^1 x 2^3 x 3^2 x 5^1 x 7^1 = 2520 So you see, primes are useful!

Answer 2

Two is the smallest Prime number and if 10 prime numbers are wanted, and they can repeat, the answer is 210 or 1024.

Answer 3

2520

Answer 4

48

Answer 5

40