Answered

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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

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