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A number can be made into only one rectangle if it is a square number. A square number is a number that can be represented as the product of an integer with itself, such as 1, 4, 9, 16, and so on. These numbers have only one unique way of arranging their factors to form a rectangle, as the sides will be equal in length.
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Why only one rectangle can be build with a prime number of a square tiles?
Because prime numbers only have one factor pair.
How can you use an array of counters to identify whether a number of counters is prime or composite?
If you can arrange the counters in the shape of a rectangle with at least two in each row and each column then the number is composite. The numbers of row and the numbers of columns are factors of the given number. If the only rectangle you can make is the "degenerate" one, with only one row or only one column, then the number is prime.
Using from 2 to 30 cubes how many numbers can you find that will allow you to make only one rectangle?
2 3 5 7 11 13 17 19 23 29
What numbers have only one prime factor?
Prime numbers.
Factor of 38?
A factor = a number which can be divided into the given number with no remainder| Known factors of 38: 1, 2, 19, 38| Prime numbers: numbers that can only be multiplied one time/ numbers with only one set of numbers/ numbers that can only be divided one time.
