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Prime Numbers Between 1 to 100- Trick, Chart, List

Prime Numbers 1 to 100

An integer is said to be a prime number if it has exactly two positive divisors or factors. 11 is a prime number because it is divisible by 1 and 11 only. While 9 is not a prime number because it is divisible by 1, 3 and 9, which has more than two factors. There are 25 prime numbers between 1 to 100. In order to understand and perform division and factorization problems, one should know all the prime numbers up to 100. One of the easiest methods to find out prime numbers is the “Sieve of Eratosthenes”. Students can also gain knowledge about prime numbers with the help of charts, diagrams, and solved practice papers.

Prime Numbers Between 1 to 100- Keynotes

  1. One and zero are not prime numbers, these are categorized as special or unique numbers.
  2. 2 is the only even prime number; the rest are odd.
  3. Divisible by one, and the number itself is a prime number.
  4. A prime number greater than five and ends with five can be divided by 5, so it cannot be a prime number.

Trick How to Find Prime Numbers Between 1 to 100?- Table

To find prime numbers, we apply a method called “Sieve of Eratosthenes” that can easily filter out prime numbers from composite numbers. Let us learn the steps of finding prime numbers between 1 to 100.

1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
  1. Make a table format like shown above.
  2. Now leave the number 1 as it is because all prime numbers are greater than 1.
  3. Highlight the number 2 as it is a prime number but leave all the multiples of 2 as it is.
  4. Next, number 3 and 5 are also prime number; highlight them but leave all of their multiples as it is.
  5. Lastly, the number 7 is left, keep all the multiple of 7 as it is and finally leftover numbers are prime numbers as highlighted in the above table.

Prime Numbers Between 1 to 100 Chart

Prime Numbers Between 1 to 100- Trick, Chart, List_40.1

Prime Numbers 1 to 100- List

Between 1 to 100, there are 25 prime numbers that are listed below:

2,3,5,7,11,13,17,19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

How many Prime Numbers Between 1 to 100?- Examples

Question 1: Identify the prime numbers from the following list?

17,36,55,79,97

Answer: As per the given list, 17, 79 and 97 are prime numbers. 36 and 55 are composite numbers.

Question 2: Why 25 is not a prime number?

Answer: 1, 5 and 25 are the factors of 25. And since 18 has more than two factors it is not considered a prime number.

Question 3: Find the next four numbers of the following series:

  • 67,71, 73…..
  • 4, 5, 7…

Answer:

1. It’s a prime number series:

79, 83, 89, and 97 are the next four numbers.

2. In this series each consecutive prime number is added by 2:

2+2=4

3+2=5

5+2=7

So the next four numbers will be 9, 13, 15 and 19.

Question 4: How many prime numbers are between 1 to 100?

Answer: There are 25 prime numbers between 1 to 100.

Question 5: Which of the given ten numbers are prime number; 1,3,10,33,56, 59, 71, 77,89,99 ?

Answer: 3, 59, 71 and 89 are prime numbers as these have only two factors – one and the number itself. We can verify this result from the list of prime numbers between 1 to 100 as shown above.

Practice Questions on Prime Numbers Between 1 to 100

Question 1: Find the average of the last ten prime numbers?

Question 2:  Why is 1 not a prime number?

Question 3:  Which is the largest two-digit prime number?

  • 97
  • 99
  • 75
  • 84

Question 4: Write the four pairs of prime numbers less than 20?

Question 5:  Is 78 a prime number?

Prime Numbers 1 to 100 in Hindi

प्राइम नंबर 1 से 100

एक पूर्णांक को एक अभाज्य संख्या कहा जाता है यदि उसके ठीक दो धनात्मक भाजक या गुणनखंड हों। 11 एक अभाज्य संख्या है क्योंकि यह केवल 1 और 11 से विभाज्य है। जबकि 9 एक अभाज्य संख्या नहीं है क्योंकि यह 1, 3 और 9 से विभाज्य है, जिसके दो से अधिक गुणनखंड हैं। 1 से 100 के बीच 25 अभाज्य संख्याएँ होती हैं। विभाजन और गुणनखंडन की समस्याओं को समझने और निष्पादित करने के लिए, किसी को 100 तक की सभी अभाज्य संख्याओं को जानना चाहिए। अभाज्य संख्याओं का पता लगाने के सबसे आसान तरीकों में से एक है “इरेटोस्थनीज की छलनी”। छात्र चार्ट, आरेख और हल किए गए अभ्यास पत्रों की सहायता से अभाज्य संख्याओं के बारे में भी ज्ञान प्राप्त कर सकते हैं।

अभाज्य संख्याएँ 1 से 100 तक- सूची

1 से 100 के बीच, 25 अभाज्य संख्याएँ हैं जो नीचे सूचीबद्ध हैं:

2,3,5,7,11,13,17,19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97।

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Prime Numbers Between 1 to 100- Trick, Chart, List- FAQs

Q. What is the method for finding out prime numbers?

An ancient greek method known as the “Sieve of Eratosthenes” was used to find all the prime numbers to the given limit. First, make a list of all the numbers between 2 to 100, then select the first number from that list and cancel all the multiples of that number. The leftover numbers are prime numbers.

Q. What are the highest and smallest prime numbers between 1 to 100?

The highest prime number between 1 to 100 is 97. And the smallest prime number between 1 to 100 is 2.

Q. What is the average of the first 15 prime numbers?

The first 15 prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 41, 43, 47, 53, 59

The average of the first 15 prime numbers is:

( 2+3+5+7+11+13+17+19+23+29+41+43+47+ 53+ 59)/15= 316.9

Q. What is the even prime number between 1 to 100?

2 is the only even prime number till 100 as it only has two factors- 1 and 2.

Q. What are the prime numbers from 1 to 100?

There are 25 prime numbers up to 100. These are as follows:

2,3,5,7,11,13,17,19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

Q. What is the difference between prime and co-prime numbers?

A number which has only 2 factors – 1 and the number itself is a prime number. A number whose highest common factor is one is a co-prime number. For example, 5 and 7 are co-prime numbers.

 

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