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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 do you factorising ab xb ac xc?
To factorize the expression abxb + acxc, we first identify the common factors in each term. In this case, the common factors are b in the first term and c in the second term. We then factor out these common factors to get b(a + x) + c(a + x). Finally, we factor out the common binomial factor of (a + x) to get (a + x)(b + c) as the fully factorized expression.
Why do you add 1 to each exponent after a number is factorized to determine the number of positive factors for any given number?
Suppose you have a prime factor with an exponent of n. Then that prime factor can appear 0, 1, 2, ... , n times in a compound factor: that is, there are (n+1) different exponents that it can take.
Is 21 and 35 relatively prime?
You need to check whether they have a common factor. You can simply factor each of the numbers; for numbers that are much larger, using Euclid's algorithm is much faster.If the common factor of two numbers is greater than 1, then they are NOT relatively prime.
What are the steps in finding the common monomial factor?
To find the common monomial factor of a set of monomials, first identify the variables and their corresponding exponents in each monomial. Next, determine the smallest exponent for each variable that appears in all the monomials. Finally, combine the variables with their corresponding smallest exponents to form the common monomial factor. This factor will be the largest monomial that can be factored out from each original monomial.
