Calculate how many numbers less than 500 are divisible by 2, 3, 4, 5, 7, or 21.
Answers
Answer:
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385.
Given:
- given a number 500.
- divisible by 2, 3, 4, 5, 7, or 21.
To Find:
- how many numbers less than 500 are divisible by 2, 3, 4, 5, 7, or 21.
Solution:
The total number of the prime numbers below 500 are: 95.
When, we do exclude the numbers: 2, 3, 5, 7, & 9, we get 91.
The numbers which aren't divisible by 2, 3, 4, 5, 7, or 21 are :
11 x (11, 13, 17, 19, 23, 29, 31, 37, 41, 43) which are 10.
13 x (13, 17, 19, 23, 29, 31, 37) which are 7.
17 x (17, 19, 23, 29) which are 4
19 x (19, 23) which are 2
Initially, 1 is also not divisible by them.
Total sum = 91+10+7+4+2+1
= 115
numbers divisible which are less than 500 = 500 – 115
numbers divisible which are less than 500 = 385
385 numbers less than 500 are divisible by 2, 3, 4, 5, 7, or 21.
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