Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

How many divisors of 7! = 7:6:5.4.3.2.1 are divisible by 7 ? (Example: 14 has
two divisors, 7 and 14, that are divisible by 7.)

How Many Divisors Of 7 7654321 Are Divisible By 7 Example 14 Has Two Divisors 7 And 14 That Are Divisible By 7 class=

Sagot :

Answer:

2

Step-by-step explanation:

The answer is two because 14 has 7 and 14.

Answer:

30

Step-by-step explanation:

7! = 7*(2*3)*5*(2*2)*3*2*1 = [tex]7*5*3^{2}*2^{3}[/tex]

Ignoring the 7, there are 24 factors of this number as you will multily each of the factors of 6! by 7 to get each of the factors of 7! divisble by 7. But since you ignored the 7, you need to bring back the possible values of 7*6, 7*5, 7*4, 7*3, 7*2, 7*1.

24 + 6 = 30 divisors

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.