What is The Number 105?

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Grade Level:

Pre-School – Class 2

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Definition

What is it?

The number 105 is a three-digit natural number that comes after 104 and before 106. It is an odd number, meaning it cannot be divided equally by 2, and it is also a composite number because it has more than two factors.

Simple Example

Quick Example

Imagine you are counting your collection of cricket cards. If you have 100 cards and then your friend gives you 5 more cards, you will have a total of 105 cricket cards. That's how many 105 is!

Worked Example

Step-by-Step

Let's find the factors of 105.
1. Start by dividing 105 by small numbers.
2. Is 105 divisible by 1? Yes, 105 ÷ 1 = 105. So, 1 and 105 are factors.
3. Is 105 divisible by 2? No, because 105 is an odd number (ends in 5).
4. Is 105 divisible by 3? Add the digits: 1 + 0 + 5 = 6. Since 6 is divisible by 3, 105 is divisible by 3. 105 ÷ 3 = 35. So, 3 and 35 are factors.
5. Is 105 divisible by 5? Yes, because it ends in 5. 105 ÷ 5 = 21. So, 5 and 21 are factors.
6. Is 105 divisible by 7? Yes, 105 ÷ 7 = 15. So, 7 and 15 are factors.
7. The factors of 105 are 1, 3, 5, 7, 15, 21, 35, and 105. This shows it's a composite number.
ANSWER: The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105.

Why It Matters

Understanding numbers like 105 helps build a strong foundation for all maths, from simple counting to complex algebra. Doctors use numbers to measure dosages, engineers use them to design buildings, and even game developers use them to create virtual worlds. Mastering numbers opens doors to many exciting careers!

Common Mistakes

MISTAKE: Thinking 105 is a prime number because it's odd. | CORRECTION: While 105 is odd, it has factors other than 1 and itself (like 3, 5, 7), making it a composite number. Prime numbers only have two factors.

MISTAKE: Confusing the place value of digits, e.g., thinking the '1' in 105 means 1. | CORRECTION: The '1' in 105 is in the hundreds place, meaning it represents 100. The '0' is in the tens place, and the '5' is in the ones place.

MISTAKE: Incorrectly adding or subtracting 105 from other numbers due to miscalculation. | CORRECTION: Always double-check your addition and subtraction. For example, 100 + 5 = 105, not 15 or 1005.

Practice Questions

Try It Yourself

QUESTION: Is 105 an even or odd number? | ANSWER: Odd

QUESTION: If you have 105 rupees and spend 20 rupees on a chai, how much money do you have left? | ANSWER: 85 rupees

QUESTION: A bus has 105 seats. If 35 seats are empty, how many people are on the bus? | ANSWER: 70 people

MCQ

Quick Quiz

Which of these statements about the number 105 is true?

It is a prime number.

It is an even number.

It is a composite number.

It is less than 100.

The Correct Answer Is:

105 is a composite number because it has more than two factors (1, 3, 5, 7, 15, 21, 35, 105). It is not prime, it is odd (not even), and it is greater than 100.

Real World Connection

In the Real World

You might see 105 used in many places, like the number of runs scored by a batsman in a cricket match (a century and five more!), or the total number of pages in a small storybook. Sometimes, even the price of a special combo meal at a local restaurant could be Rs. 105.

Key Vocabulary

Key Terms

NATURAL NUMBER: A counting number starting from 1 (1, 2, 3...). | ODD NUMBER: A number that cannot be divided exactly by 2. | COMPOSITE NUMBER: A number that has more than two factors. | FACTOR: A number that divides another number exactly, without leaving a remainder.

What's Next

What to Learn Next

Now that you understand what 105 is, you can explore other numbers, learn about place value in more detail, or start practicing addition and subtraction with larger numbers. Keep building your maths skills, one number at a time!