What is The Number 84?

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Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

The number 84 is a whole number that comes after 83 and before 85. It is an even number, meaning it can be divided by 2 without any remainder. 84 is also a composite number, which means it has more than two factors (numbers that divide it evenly).

Simple Example

Quick Example

Imagine you have 84 laddoos in a big box. If you want to share them equally among two friends, each friend would get 42 laddoos. This shows that 84 can be divided evenly.

Worked Example

Step-by-Step

Let's find the factors of 84.
1. Start with 1: 84 ÷ 1 = 84. So, 1 and 84 are factors.
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2. Check 2: 84 ÷ 2 = 42. So, 2 and 42 are factors.
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3. Check 3: 84 ÷ 3 = 28. So, 3 and 28 are factors.
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4. Check 4: 84 ÷ 4 = 21. So, 4 and 21 are factors.
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5. Check 6: 84 ÷ 6 = 14. So, 6 and 14 are factors.
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6. Check 7: 84 ÷ 7 = 12. So, 7 and 12 are factors.
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7. The next number to check would be 8, but 84 is not divisible by 8. We have found all pairs.
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The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.

Why It Matters

Understanding numbers like 84 is fundamental to all mathematics. It's crucial for everyday tasks like calculating money, measuring ingredients, or even understanding cricket scores. Engineers use numbers like this for measurements, and data analysts use them to count and compare information.

Common Mistakes

MISTAKE: Thinking 84 is a prime number. | CORRECTION: 84 is a composite number because it has many factors besides 1 and itself (like 2, 3, 4, 6, 7, etc.). Prime numbers only have two factors: 1 and themselves.

MISTAKE: Incorrectly dividing 84 by odd numbers and thinking it's not divisible. | CORRECTION: While 84 is an even number, it can be divided by some odd numbers like 3 and 7. Always check divisibility rules or perform the division to be sure.

MISTAKE: Confusing the digits '8' and '4' with the value '84'. | CORRECTION: Remember that 84 means 'eighty-four', not 'eight plus four' (which is 12) or 'eight times four' (which is 32). The position of the digits matters for their value.

Practice Questions

Try It Yourself

QUESTION: If you buy 84 pens and want to pack them into boxes, with 12 pens in each box, how many boxes do you need? | ANSWER: 7 boxes

QUESTION: What is 84 divided by 7, and then that result multiplied by 5? | ANSWER: 60

QUESTION: The sum of two numbers is 84. If one number is twice the other, what are the two numbers? | ANSWER: 28 and 56

MCQ

Quick Quiz

Which of these statements about the number 84 is TRUE?

It is an odd number.

It is a prime number.

It is divisible by 6.

It is smaller than 80.

The Correct Answer Is:

84 is an even number, so A is false. It has many factors, so B is false. 84 divided by 6 is 14, so C is true. 84 is larger than 80, so D is false.

Real World Connection

In the Real World

In cricket, if a batsman scores 84 runs, it's a good score! Or, imagine a delivery service like Zepto. If a delivery person completes 84 deliveries in a week, knowing this number helps them track their performance and earnings. Even calculating the total cost of 84 items in a supermarket uses this basic number sense.

Key Vocabulary

Key Terms

WHOLE NUMBER: A number without fractions or decimals (like 0, 1, 2, 3...) | EVEN NUMBER: A whole number that can be divided by 2 exactly (like 2, 4, 6...) | COMPOSITE NUMBER: A whole number that has more than two factors (like 4, 6, 8, 9, 10...) | FACTOR: A number that divides another number exactly, without leaving a remainder.

What's Next

What to Learn Next

Great job understanding 84! Next, you can explore concepts like 'Prime Factorization' to break numbers down into their fundamental building blocks, or 'Multiples' to see what numbers 84 can create. These build directly on your understanding of numbers and their properties.