Question

what is the least number that should be multiplied to 100! to make it perfectly divisible by 350? a. 2 b. 3 c. 6 d. 9 e. 27

Answer 1

(c.)6 is the answer which u required


Hope it's helpful

Answer 2

Step-by-step explanation:

Given what is the least number that should be multiplied to 100! to make it perfectly divisible by 3^50?

• So 100! is 100 x 99 x 98 x 97……….and so on up to 1
• Now the numbers from 1to100 divisible by 3 is 33                                       (3,6,9……99) ( l = (a + (n – 1)d)
• So to make it perfectly divisible we have 3^50 – 33 = 3^17
• Since 9 has two 3’s, multiples of 9 in 100 will be 11
• Also 27 has three 3’s multiples of 27 in 100 will be 3
• Again 81 has four 3’s multiples of 81 in 100 will be 1
• So the total number of 3,9,27,81 in 100 will be 33 + 11 + 3 + 1 = 48
• So we get 3^50 – 48
•                   3^2
•                      9
• Therefore the least number that should be multiplied to 100! to make it perfectly divisible by 3^50 is 9

Reference link will be

https://brainly.in/question/22305709