Question

Rectangular arrays whose dimensions are whole numbers can be used to illustrate the factors of a number. What can be said about the number of rectangular arrays for each of the following types of numbers?a. Prime numberb. Composite numberc. Square number

Answer 1

Answer:

Step-by-step explanation:

a) For a prime numbers we have array with 2 rectangulars R1: a=1 and b=prime number; R2: a=prime number and b=1. Both has the same are, that prime number.

b) For a composite number which are not square number we have rectanular array with even numbers of ractangulars. For example, number 6.

R1: a=1,b=6; R2: a=2,b=3; R3: a=3, b=2; R4: a=6,b=1. Each rectangular has the same area, 6.

c) The square number we alway have te odd number of rectanulars, because of the square a=x,b=x can not be simetric. For example 16.

R1: a=1,b=16; R2: a=2 , b=8; R3: a=4,b=4; R4: a=8, b=2; R5:a=16,b=1.Each rectangular has the same area, 16.