Question

How many numbers up to 120 are divisible by 8?​

Answer 1

Answer:

15

Because 8×15=120

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Answer 2

Answer:

How many number up to 120 are divisible by 8?

The first multiple of 8 is 8 itself.

Now 120modulo8=0 , and so that 120 is a multiple of 8.

Suppose that there are n multiples of 8 upto 120.

Then it becomes an arithmetic progression with

the first term, a=8 ;

common difference, d=8 ;

the last term = the n th term, tn=120 .

Therefore,

tn=a+(n−1)d

⇒120=8+(n−1)8

⇒120=8+8n−8

⇒8n=120

⇒n=120÷8

⇒n=15

Therefore, there are 15 numbers in positive integers upto 120 are divisible by 8

Step-by-step explanation:

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