True
Observe the following:
5x + 5y + 3z = 5(x + y) + 3z
The first two terms could be factored because they shared a common factor of 5, but the third term did not -- not all terms need to share a common factor to use the grouping method.
121: 11-11 132: 2-2-3-11 Great common factor: 11 Method(s) used: # (used) The method to find the greatest common factor of numbers is to find the prime factorizations of each one, select all matching prime factors, and then multiply. # An alternative method is to find all of the factors of each, and then select the greatest number that appears in each list. # The final method only applies to some numbers; if one of the number is a factor of the other, then that number is the greatest common factor. This is because all numbers are factors of themselves, and that is their greatest factor. If it is also a factor of the other number, then it is definitely the greatest common factor.
25
The greatest common factor of two numbers has to show up on the lists of factors of both numbers.
I have no any answer
Check out the related links to better understand the unit factor method.
1. Factoring out a common monomial 2. Factoring out the differnece of two perfect square numbers 3. Factoring out a common binomial
(a - 2)(b + 3)
Do you mean (3ax-15a)+(x-5)?If so, then this is simply a matter of factoring by grouping, which you should have learned in pre-algebra.You should show these steps in your work:1. (3ax-15a)+(x-5)- beginning equation2. 3a(x-5)+1(x-5)- factoring it out3. (3a+1)(x-5)- rule of factoring by groupingYou should learn this method, because it is very simple and helps you a lot in factoring chapters.
The greatest common factor for 43 and 32 is 1. Method 1: Factoring completely, we determine that: 32 = 2 * 2 * 2 * 2 * 2 * 1 43 = 43 * 1 The only factor that these two have in common is 1, making this the greatest common factor. Method 2: We notice that 32 is a power of 2 (2 ^ 5, to be exact), so its only unique factors are 1 and 2. Since 43 is odd, it does not have 2 as a factor. Therefore, the only factor that they could have in common is 1, making that the greatest common factor. Method 3: We notice that 43 is a prime number, meaning that its only factors are 1 and itself. Since 32 is not a multiple of 43 (impossible, being smaller), the only common factor they could have is 1.
True Observe the following: 5x + 5y + 3z = 5(x + y) + 3z The first two terms could be factored because they shared a common factor of 5, but the third term did not -- not all terms need to share a common factor to use the grouping method
True Observe the following: 5x + 5y + 3z = 5(x + y) + 3z The first two terms could be factored because they shared a common factor of 5, but the third term did not -- not all terms need to share a common factor to use the grouping method.
Concept mapping is a method of graphically grouping and connecting key ideas.
Example: 30 and 42The factors of 30 are:1, 2, 3, 5, 6, 10, 15, 30The factors of 42 are:1, 2, 3, 6, 7, 14, 21, 42The common factors are:1, 2, 3, 6The Greatest Common Factor:GCF = 6
The least common factor of any set of integers is 1.
The Least Common Multiple (LCM) for 486 162 300 is 24,300.
Least Common Multiple (LCM) for 96 108 180 is 4,320.
The highest common factor of 46 and 138 is 46Factorization method:46 = 2×23138 = 2×3×23highest common factor = 2×23 = 46Alternative (modular) method:138 mod 46 = 0so 46 is the highest common factor.