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The number of factors of a given number corresponds to the different ways that number can be expressed as a product of two integers, which represents the possible dimensions of rectangular arrays. For instance, if a number has six factors, it can be arranged into rectangular arrays of dimensions that multiply to that number, such as 1x6, 2x3, and 3x2. Each unique pair of factors gives a distinct arrangement, illustrating the relationship between factors and rectangular arrays. Thus, the total number of factors directly determines the number of unique rectangular configurations possible for that number.

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How does the number of factors determine the number of different rectangular arrays thst can be made for a given number?

The Number of factors, (That is the number of pairs, such as 2= 1x2, 2x1), is equal to the number of rectangular arrays which can be made for each composite number. As such, the number of factors in the number 9 is 3, (1,3,9), and the number of rectangular arrays is also three (1x9, 9x1,3x3). Hope this helps!


Can multiples be used to find all of the possible arrays of a number?

No, but factors can.


Give you factors arrays for the number 15?

1, 3, 5 and 15


How does the number of factors determine the number of different rectangular arrays that can be made for given number?

Each factor pair is an array.


How many rectangular arrays help you identify factors and factor pairs for a given number?

6


How many arrays can you make with the number 42?

4 (or eight if you count transposed arrays as being different).


What is the 2 digit number that has the largest number of arrays?

60 is one of 5 numbers that has 12 arrays.


What does draw arrays to find the factors of each number mean?

Factors are integers that multiply to create a product.3 x 4 = 123 and 4 are factors of 12.Divisibility refers to a number capable of being divided by another number without a remainder: 24 is divisible by 4.


What do we call the numbers that cannot be arranged into 2-row arrays?

we can call the number that cannot be arranged into 2- row arrays multiple arrays.


How are factors and prime numbers related?

Whether a number is a prime number or not is determined by its factors. It is a prime number if its only factors are 1 and itself.


How many arrays can you make out of 48?

You can make five arrays from the number 48


How do you do a division arrays?

Division arrays are typically done by dividing the total number of objects by the number of rows. These can come in the form of blocks or circles arranged in a specific number.