The image you've uploaded is a
chart titled "Even Composite Numbers Chart 1-100", which helps identify even composite numbers from 1 to 100.
Let's break down the task and explain the solution step by step.
---
🔍 What are Even Composite Numbers?
-
Even numbers: Numbers divisible by 2 (i.e., end in 0, 2, 4, 6, or 8).
-
Composite numbers: Numbers that have
more than two factors (i.e., not prime). A composite number can be divided evenly by numbers other than 1 and itself.
- So, an
even composite number is:
- An even number,
- And has more than two factors (so it’s
not prime).
> ⚠️ Note: The only even
prime number is
2, because it has exactly two factors: 1 and 2. All other even numbers are composite (since they are divisible by 2 and other numbers).
---
✔ How to Identify Even Composite Numbers from 1 to 100
We look for:
- Even numbers (divisible by 2),
- That are
not prime.
So we exclude:
- The number
2 (the only even prime),
- Any odd numbers (they’re not even).
All other even numbers from 4 to 100 are
composite (because they are divisible by 2 and at least one other number).
---
📊 What Does the Chart Show?
The chart lists numbers from 1 to 100 in a grid. The
blue-shaded cells highlight the
even composite numbers.
Let’s verify:
- Start from 4 → divisible by 2 and 4 → composite
✔
- 6 → divisible by 2, 3, 6 → composite
✔
- 8 → divisible by 2, 4, 8 → composite
✔
- ...
- 100 → divisible by 2, 4, 5, 10, 20, 25, 50, 100 → composite
✔
But note:
2 is not shaded — because it's
prime, even though it's even.
Also, all
odd numbers are not shaded — because they're not even.
---
✔ Final Answer: List of Even Composite Numbers from 1 to 100
These are the
49 even composite numbers shown in blue on the chart:
```
4, 6, 8, 10, 12, 14, 16, 18, 20,
22, 24, 26, 28, 30, 32, 34, 36, 38, 40,
42, 44, 46, 48, 50, 52, 54, 56, 58, 60,
62, 64, 66, 68, 70, 72, 74, 76, 78, 80,
82, 84, 86, 88, 90, 92, 94, 96, 98, 100
```
✔ Total count:
49 numbers — as stated in the chart.
---
🧠 Why Are There 49 Even Composite Numbers?
- Even numbers from 1 to 100:
These are: 2, 4, 6, 8, ..., 100 → total = 50 even numbers.
- Remove the only even
prime number:
2.
- Remaining: 50 - 1 =
49 even composite numbers.
---
✔ Conclusion
The chart correctly highlights
all even composite numbers from 1 to 100, excluding 2 (the only even prime), and shading all other even numbers (which are composite). This is a helpful visual tool for understanding the difference between prime and composite numbers, especially among even numbers.
If your task was to
identify or
list these numbers, here’s your final answer:
>
✔ Even Composite Numbers from 1 to 100:
>
> 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100
>
✔ Count:
49 numbers
Let me know if you'd like a printable version or want to explore odd composite numbers too!
Parent Tip: Review the logic above to help your child master the concept of prime and composite 1 100 worksheet.
