Find the prime number between 150 to 200
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20
Answer:
151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199
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To Find :- The prime number between 150 to 200 .
Concept used :-
- Numbers greater than 1 which have only two factors 1 and itself are called as prime numbers . Example :- 2, 3, 5, 7, 11, 13 etc .
- Except 2 only odd numbers are prime numbers .
- If sum of digits of a number is divisible by three , the given number is also divisible by 3 .
- If sum of digits of a number is divisible by 9 , the given number is also divisible by 9 .
- If unit digit is 5 , the number is divisible by 5 .
Solution :-
In order to find the prime number between 150 to 200 we just have to check all 25 odd numbers between them .
So,
→ 151
- 1 × 151
- Only 2 factors 1 and itself .
- Therefore, it is a prime number .
→ 157
- 1 × 157
- Only 2 factors 1 and itself .
- Therefore, it is a prime number .
→ 163
- 1 × 163
- Only 2 factors 1 and itself .
- Therefore, it is a prime number .
→ 167
- 1 × 167
- Only 2 factors 1 and itself .
- Therefore, it is a prime number .
→ 173
- 1 × 173
- Only 2 factors 1 and itself .
- Therefore, it is a prime number .
→ 179
- 1 × 179
- Only 2 factors 1 and itself .
- Therefore, it is a prime number .
→ 181
- 1 × 181
- Only 2 factors 1 and itself .
- Therefore, it is a prime number .
→ 191
- 1 × 191
- Only 2 factors 1 and itself .
- Therefore, it is a prime number .
→ 193
- 1 × 193
- Only 2 factors 1 and itself .
- Therefore, it is a prime number .
→ 197
- 1 × 197
- Only 2 factors 1 and itself .
- Therefore, it is a prime number .
→ 199
- 1 × 199
- Only 2 factors 1 and itself .
- Therefore, it is a prime number .
Therefore, the prime number between 150 to 200 are :- 151, 157, 163, 167, 173, 179, 181, 191, 193, 197 and 199 .
Extra :-
- There are 15 prime numbers between 1 and 50 .
- There are 25 prime numbers between 1 and 100 .
- There are 10 prime numbers between 101 and 150.
- There are 46 prime numbers between 1 and 200.
Learn more :-
Three rational number between 2/3 and 4/5
https://brainly.in/question/43298764
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