Sketch as many different rectangular (including square) arrays as possible for each of the following numbers: 15, 81, 30, 25, 17. Use these arrays for the following:
Part 1:
a. Two of the given numbers have square arrays. Make a conjecture about the number of factors for square numbers.
A. The number of factors is a prime number.
B. The number of factors is a square number.
C. The number of factors is an even number.
D. The number of factors is an odd number.
a. Two of the given numbers have square arrays. Make a conjecture about the number of factors for square numbers.
A. The number of factors is a prime number.
B. The number of factors is a square number.
C. The number of factors is an even number.
D. The number of factors is an odd number.
3 answers
Each rectangular array of squares gives information about the number of factors of a number. Two rectangles can be formed for the number 6, showing that 6 has factors of 2, 3, 1, and 6.
4159
Sketch as many different rectangular (including square) arrays as possible for each of the following numbers: 15, 81, 30, 25, 17. Use these arrays for the following:
Part 1:
a. Two of the given numbers have square arrays. Make a conjecture about the number of factors for square numbers.
A. The number of factors is a prime number.
B. The number of factors is a square number.
C. The number of factors is an even number.
D. The number of factors is an odd number.
Explain how your sketches support your conjecture.
A. There is one square array and the rest are nonsquare rectangular arrays.
B. There is one nonsquare rectangular array and the rest are square.
C. There are only square arrays.
D. There are only nonsquare rectangular arrays.
E. There are an even number of arrays.
4159
Sketch as many different rectangular (including square) arrays as possible for each of the following numbers: 15, 81, 30, 25, 17. Use these arrays for the following:
Part 1:
a. Two of the given numbers have square arrays. Make a conjecture about the number of factors for square numbers.
A. The number of factors is a prime number.
B. The number of factors is a square number.
C. The number of factors is an even number.
D. The number of factors is an odd number.
Explain how your sketches support your conjecture.
A. There is one square array and the rest are nonsquare rectangular arrays.
B. There is one nonsquare rectangular array and the rest are square.
C. There are only square arrays.
D. There are only nonsquare rectangular arrays.
E. There are an even number of arrays.
so, what have you done so far?
1 answer