Math, asked by rishimenon1593, 11 months ago

Calculate how many numbers less than 500 are divisible by 2, 3, 4, 5, 7, or 21.

Answers

Answered by harwinderbrar24
1

Answer:

2 3 4 5 6 7 2 3 4 5 6 7 8 9 10 11 2018 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 physics exam 38 39 40 41 42 43 44 45 46 exam PDF in ICC class six 66666

Answered by Qwafrica
0

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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