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What else can I help you with?
Can a factor divide a number exactly?
Yes, by definition a factor divides a number exactly
What is the relationship between 0.09 and 0.9?
They are different by a factor of 10.
How many different rectangles can you draw with an area of 12 square units?
If you restrict yourself to whole numbers, 12 has 3 factor pairs: 1 x 12 2 x 6 3 x 4
A number that divides into another exactly?
is a 'factor' of the second number.
How are the dimensions of the rectangles for a given number of square tiles related to factor pairs of the number?
The number of square tiles is always equal to factor pairs. As an example, imagine a rectangle that contains 8 squares - 2 rows of 4. 2 X 4 = 8. In other words, the dimensions of the rectangles are ALWAYS equal to a factor pair of the number of squares in the rectangle. A rectangle containing 24 squares could be made as 24x1, 12x2, 8x3, or 6x4.
How do you get rectangles from a list of factor pairs?
The factor pairs are the length and width of the rectangles.
What is the relationship between the rectangles for number and factors of the number?
One rectangle for each factor pair.
How is the list of factor pairs related to the rectangles that could be made to show 588?
Number of factor pairs = number of rectangles
A mystery number is greater than 50 and less than 100 you can make exactly five different rectangles with the mystery number of tiles its prime factorization consists of only one prime number?
No single integer satisfies both requests. 80 is the only integer with exactly 5 factor pairs in that range, but it has two prime factors. 64 and 81 have one prime factor but 4 and 3 factor pairs respectively.
How is the number of rectangles you can build related to factors of a number?
If you can compile a complete list of all different rectangular models with sides of integer length for a number then their lengths and breadths represent its factors.
What are all the different rectangles of 12 factor pair with rectangle?
1 x 12 2 x 6 3 x 4
How are the areas of similar rectangles related to the scale factor?
The areas are proportional to the square of the scale factor.
How is the list of the factor pairs for 588 related to the rectangles that can be made for the factor pairs?
One to one.
Does the same relationship between the scale factor of similar rectangles and their area apply for similar triangles?
Yes, the same relationship between the scale factor and area applies to similar triangles. If two triangles are similar, the ratio of their corresponding side lengths (the scale factor) is the same, and the ratio of their areas is the square of the scale factor. For example, if the scale factor is ( k ), then the area ratio will be ( k^2 ). This principle holds true for all similar geometric shapes, including rectangles and triangles.
How many different rectangles with an area of 32 square units can you make?
To find the different rectangles with an area of 32 square units, we need to consider the factor pairs of 32. The pairs are (1, 32), (2, 16), (4, 8), and their reverses, giving us the dimensions of the rectangles: 1x32, 2x16, 4x8, and 8x4. However, since the order of dimensions does not create a new rectangle, we have four unique rectangles: 1x32, 2x16, and 4x8. Thus, there are three distinct rectangles with an area of 32 square units.
How would a list of factors pairs relate to the rectangles that could be made to show the number?
As I understand it, the number of factor pairs is equal to the number of rectangles.
Explain how factors are related to rectangles?
Some people like to visualize factors as representing the lengths of sides of rectangles. In the same way that length times width equals area, factor times factor equals product.
