how many digits which can divisible by 5 and 7 both the numbers ? between 1 to 100 only
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Step-by-step explanation:
There are an infinite number of numbers that are divisible by both 5 and 7.
One way to understand this is to take the lowest common multiple of 5 and 7, which is 35. 35 is divisible by 5 and 7.
We also know that there are an infinite number of non-negative integers in the range 1, 2. 3. … infinity. Let’s call any one of those numbers n, since I’m not sure how to do subscripts in Quora.
1 * 35 = 35, which is divisible by 5 and 7.
2 * 35 = 70, which is divisible by 5 and 7.
3 * 35 = 105, which is divisible by 5 and 7.
…
n * 35 = 35n, which is divisible by both 5 and 7.
…
and so on and so on until we grow bored.
Since n runs to infinity, there are an infinite number of numbers divisible by both 5 and 7.