 Problem 1: The area of a rectangular garden is 7 square yards. List all possible whole-number size the garden can have.

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Solution: 1 yd x 7 yd

The whole-number dimensions, 1 and also 7, of the rectangle-shaped garden above, room the factors of the number 7.

Problem 2: The area that a rectangular garden is 8 square yards. Perform all feasible whole-number dimensions the garden deserve to have.  Solution: 1 yd x 8 yd, 2 yd x 4 yd

The whole-number dimensions, 1, 2, 4 and 8, the the rectangular gardens in difficulty 2, room the factors of the number 8. In problem 1, the number 7 has only 2 factors. The number 7 is prime. In trouble 2 above, the number 8 has 4 factors. The number 8 is composite.

Definitionsprime number has only two factors: 1 and itself.A composite number has more than 2 factors.The number 1 is neither prime nor composite.

When the area that a rectangle is a element number, there is just one collection of possible dimensions for that rectangle. As soon as the area of a rectangle is a composite number, there room two or more sets of possible dimensions for the rectangle. Each set of dimensions is a pair that factors.

To identify if a number is prime or composite, follow this steps:

Find all components of the number.If the number has actually only two factors, 1 and also itself, then it is prime.If the number has more than two factors, then it is composite.

Example 1: Is the number 2 element or composite?

Solution: The determinants of 2 are 1 x 2. 2 is prime.

Example 2: Is the number 9 element or composite?

Solution: The determinants of 9 space 1 x 9, 3 x 3. 9 is composite.

We have established if a solitary number is prime or composite. Let"s look at a range of numbers to check out if they space prime or composite. Please note that each variety of numbers given in instances 3, 4 and 5 below are inclusive.

Example 3: Find all prime numbers between 2 and also 9.

 factors the 2: 1 x 2 2 is prime factors that 3: 1 x 3 3 is prime factors of 4: 1 x 4, 2 x 2 4 is composite factors of 5: 1 x 5 5 is prime factors of 6: 1 x 6, 2 x 3 6 is composite factors of 7: 1 x 7 7 is prime factors the 8: 1 x 8, 2 x 4 8 is composite factors that 9: 1 x 9, 3 x 3 9 is composite

Solution: The element numbers in between 2 and 9 room 2, 3, 5 and also 7.

Example 4: Find all prime numbers in between 10 and 19.

 factors the 10: 1 x 10, 2 x 5 10 is composite factors of 11: 1 x 11 11 is prime factors that 12: 1 x 12, 2 x 6, 3 x 4 12 is composite factors the 13: 1 x 13 13 is prime factors the 14: 1 x 14, 2 x 7 14 is composite factors that 15: 1 x 15, 3 x 5 15 is composite factors of 16 1 x 16, 4 x 4 16 is composite factors that 17: 1 x 17 17 is prime factors that 18: 1 x 18, 3 x 6 18 is composite factors of 19: 1 x 19 19 is prime

Solution: The element numbers in between 10 and also 19 are 11, 13, 17 and 19.

Example 5: Find every prime numbers between 20 and also 29.

 factors the 20: 1 x 20, 2 x 10, 4 x 5 20 is composite factors the 21: 1 x 21, 3 x 7 21 is composite factors the 22: 1 x 22, 2 x 11 22 is composite factors of 23: 1 x 23 23 is prime factors that 24: 1 x 24, 2 x 12, 3 x 8, 4 x 6 24 is composite factors the 25: 1 x 25, 5 x 5 25 is composite factors that 26: 1 x 26, 2 x 13 26 is composite factors of 27: 1 x 27, 3 x 9 27 is composite factors that 28: 1 x 28, 2 x 14, 4 x 7 28 is composite factors the 29: 1 x 29 29 is prime

Solution: The prime numbers in between 20 and also 29 space 23 and 29. Example 6: Is the number 31 element or composite? describe your price using full sentences.

Solution 1: The number 31 is prime due to the fact that its only determinants are one and itself.

Solution 2: Thirty-one is a element number. This is due to the fact that the number 31 has only 2 factors: 1 and 31.

Solution 3: I divided the number 31 by all numbers in between 1 and 31 and found no components other than one and thirty-one. Therefore, 31 is prime.

There space many feasible ways to define the solution to this problem. These are just three feasible explanations.

Summary: A prime number has only 2 factors: 1 and also itself. A composite number has more than 2 factors. The number 1 is no prime nor composite.

The element numbers in between 2 and 31 space 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 and also 31 due to the fact that each of these numbers has only 2 factors, itself and 1.

### Exercises

Directions: review each question below. Pick your prize by clicking on its button. Feedback to your answer is detailed in the results BOX. If you make a mistake, choose a different button.

 1 Each of the adhering to numbers is composite EXCEPT:30, 31, 32, 33, 34, 35, 36, 37, 38, 3932 and 3930 and also 3431 and also 37All compositeRESULTS BOX:
 2 The prime numbers in between 40 and 49 are:42, 43 and also 4741, 43 and also 47 43, 45 and also 47None the the above.RESULTS BOX:
 3 The element numbers between 50 and also 59 are:53 and also 5951 and also 59 53 and also 57None the the above.RESULTS BOX:
 4 The prime numbers in between 60 and 69 are:63 and 6961 and also 67 60 and also 65None of the above.RESULTS BOX:
 5.See more: How Old Is Lee And Tiffany Filmed? Lee And Tiffany Lakosky Net Worth The element numbers between 20 and 69 are:21, 23, 29, 31, 37, 41, 43, 47, 53, 63 and also 6923, 29, 31, 33, 37, 41, 43, 47, 59, 61 and 6723, 29, 31, 37, 41, 43, 47, 53, 59, 61 and also 67None the the above.RESULTS BOX:   .tags a { color: #fff; background: #909295; padding: 3px 10px; border-radius: 10px; font-size: 13px; line-height: 30px; white-space: nowrap; } .tags a:hover { background: #818182; } Home Contact - Advertising Copyright © 2021 beer-selection.com #footer {font-size: 14px;background: #ffffff;padding: 10px;text-align: center;} #footer a {color: #2c2b2b;margin-right: 10px;}