There are 39 composite numbers in between 50 and 100, inclusive of 50 and 100.
Understanding Composite Numbers
A composite number is a positive integer that has at least one divisor other than 1 and itself. In simpler terms, it's a number that can be formed by multiplying two smaller positive integers. For example, 6 is a composite number because it can be expressed as 2 × 3. Numbers that are not composite (and are greater than 1) are called prime numbers. The number 1 is neither prime nor composite.
Listing Composite Numbers from 50 to 100
To determine the exact count, we identify all the numbers within the specified range that fit the definition of a composite number. The numbers between 50 and 100 (inclusive) that are composite are:
- 51, 52, 54, 55, 56, 57, 58, 60
- 62, 63, 64, 65, 66, 68, 69, 70
- 72, 74, 75, 76, 77, 78, 80, 81
- 82, 84, 85, 86, 87, 88, 90, 91
- 92, 93, 94, 95, 96, 98, 99
Detailed Breakdown and Count
Let's organize these numbers to clearly see their quantity:
| Range | Composite Numbers | Count |
|---|---|---|
| 50-59 | 51, 52, 54, 55, 56, 57, 58, 60 | 8 |
| 60-69 | 62, 63, 64, 65, 66, 68, 69, 70 | 8 |
| 70-79 | 72, 74, 75, 76, 77, 78, 80 | 7 |
| 80-89 | 81, 82, 84, 85, 86, 87, 88, 90 | 8 |
| 90-100 | 91, 92, 93, 94, 95, 96, 98, 99 | 8 |
| Total | 39 |
As confirmed by the reference, there are indeed 39 composite numbers between 50 and 100, inclusive. Each of these numbers has factors other than 1 and itself. For example, 51 = 3 × 17, 91 = 7 × 13, and 99 = 9 × 11.
For more information, you can refer to resources like this Brainly answer on composite numbers between 50 and 100.
