Question

In how many ways can 2310 be expressed as product of three factors?? 1) 41 2) 56 3) 23 4) 46

Answer 1

We have to calculate the prime factors of 2310.

Prime factorization of 2310 = 2 * 3 * 5 * 7 * 11.

We know that when a number is expressed as n distinct primes, then the product of three numbers can be expressed as:

= > [3^(n + 1) + 1]/2

= > [3^(3 + 1) + 1]/2

= > [3^4 + 1]/2

= > 82/2

= > 41.

Therefore, the total number of ways = 41.

The answer is option (1) - 41.

Hope this helps!

Answer 2

Answer:if you feel help full than please like, thank you..

Step-by-step explanation:

Prime factors of 2310=2×5×7×3×11.

The required number of factors in2310 = the number of selections of one or more of the 4 prime factors = 2^5-1 = 31.

THEREFORE ANSWER IS 31.

........THANK YOU........