What is The Number 97?

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Grade Level:

Pre-School – Class 2

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Definition

What is it?

The number 97 is a two-digit natural number that comes after 96 and before 98. It is also a prime number, meaning it can only be divided exactly by 1 and itself.

Simple Example

Quick Example

Imagine you are playing a game of Ludo and you need to move your token 97 steps to reach home. Or, if your favourite cricketer scores 97 runs in a match, that's almost a century!

Worked Example

Step-by-Step

Let's find out if 97 is a prime number or a composite number.
---Step 1: A prime number can only be divided by 1 and itself without leaving a remainder. A composite number has more than two factors.
---Step 2: Start by trying to divide 97 by small prime numbers (2, 3, 5, 7, 11, etc.).
---Step 3: Is 97 divisible by 2? No, because 97 is an odd number.
---Step 4: Is 97 divisible by 3? Add the digits: 9 + 7 = 16. Since 16 is not divisible by 3, 97 is not divisible by 3.
---Step 5: Is 97 divisible by 5? No, because 97 does not end in 0 or 5.
---Step 6: Is 97 divisible by 7? 97 divided by 7 is 13 with a remainder of 6. So, no.
---Step 7: Is 97 divisible by 11? 97 divided by 11 is 8 with a remainder of 9. So, no.
---Step 8: We can stop checking when the divisor is greater than the square root of 97 (which is about 9.8). Since we have checked up to 11 and found no other factors, 97 is a prime number.
Answer: 97 is a prime number.

Why It Matters

Understanding numbers like 97 helps build a strong base for all math. It's crucial in coding, where prime numbers are used for secure online transactions (like when you use UPI). Engineers and scientists also use properties of numbers in various calculations.

Common Mistakes

MISTAKE: Thinking all odd numbers are prime numbers. For example, 9 is odd but not prime. | CORRECTION: An odd number can be prime (like 97) or composite (like 9). Always check for other factors.

MISTAKE: Confusing a number's value with its properties. For example, knowing 97 is a big number is different from knowing it's prime. | CORRECTION: A number's value tells you 'how many', while properties like 'prime' or 'even' tell you 'what kind of number' it is.

MISTAKE: Only checking divisibility by 2, 3, and 5 and assuming if it's not divisible by these, it must be prime. | CORRECTION: You need to check divisibility by other prime numbers like 7, 11, 13, and so on, until the divisor exceeds the square root of the number.

Practice Questions

Try It Yourself

QUESTION: What is the number that comes just before 97? | ANSWER: 96

QUESTION: Is 97 an even or an odd number? Explain your answer. | ANSWER: 97 is an odd number because it does not end with 0, 2, 4, 6, or 8, and it cannot be divided by 2 without a remainder.

QUESTION: If you have 97 ladoos and want to share them equally among 5 friends, how many ladoos will each friend get, and how many will be left over? | ANSWER: Each friend will get 19 ladoos (97 / 5 = 19 with a remainder of 2). 2 ladoos will be left over.

MCQ

Quick Quiz

Which of the following statements about the number 97 is true?

It is an even number.

It is a composite number.

It is a prime number.

It is divisible by 3.

The Correct Answer Is:

97 is a prime number because it can only be divided exactly by 1 and itself. It is not even, not composite, and not divisible by 3 (since 9+7=16, which is not divisible by 3).

Real World Connection

In the Real World

Prime numbers like 97 are super important for keeping your online information safe! When you use banking apps or messaging apps, they use complex codes based on very large prime numbers to encrypt your data. This is called cryptography, and it's how companies like Google and WhatsApp protect your privacy.

Key Vocabulary

Key Terms

NATURAL NUMBER: A positive whole number (1, 2, 3...) | PRIME NUMBER: A number greater than 1 that has only two factors: 1 and itself | COMPOSITE NUMBER: A number greater than 1 that has more than two factors | FACTOR: A number that divides another number exactly, without leaving a remainder | ODD NUMBER: A whole number that cannot be divided exactly by 2

What's Next

What to Learn Next

Great job learning about 97! Next, you can explore other types of numbers like composite numbers, square numbers, or even perfect numbers. This will help you understand the amazing patterns and properties hidden within the world of mathematics.