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2. What is the GCF for 54, 72? - Socratic

   socratic.org/questions/what-is-the-gcf-for-54-72

   One way of finding the GCF of two numbers goes as follows: Divide the larger number by the smaller to give a quotient and remainder. If the remainder is #0# then the smaller number is the GCF. Otherwise repeat with the smaller number and the remainder. In our example, we find: #72/54 = 1# with remainder #18#. #54/18 = 3# with remainder #0#.

3. What is the greatest common factor of 60 and 72? - Socratic

   socratic.org/questions/what-is-the-greatest-common-factor-of-60-and-72

   12 I like to answer these questions by first doing prime factorizations: 60=2xx30=2xx2xx15=2xx2xx3xx5 72=2xx36=2xx2xx18=2xx2xx2xx9=2xx2xx2xx3xx3 The GCF will have all the numbers that are common to both 60 and 72. GCF=? Let's start with 2's first. 60 has two 2s, while 72 has three. Two 2s are common to both, so our GCF will have two 2s: GCF=2xx2xx? Now 3s. 60 has one 3 and 72 has two 3s. One 3 ...

4. Greatest Common Factor - Prealgebra - Socratic

   socratic.org/prealgebra/factors-and-multiples/greatest-common-factor

   If so, which is the greatest?: {54, 32, 96} Do the following numbers share common factors? If so, which is the greatest?: {70, 84, 105} Do the following numbers share common factors? If so, which is the greatest common factor?: {240, 96, 144} What are all the greatest common factors of 36 and 90?

5. How do you solve x^2-x-72=0? - Socratic

   socratic.org/questions/how-do-you-solve-x-2-x-72-0-1

   Explanation: To solve a quadratic equation (one with an x2 term), there are three options: In this case the quadratic trinomial can be factored. x2 −x −72 = 0 find factors of 72 which differ by 1. (x −9)(x + 8) = 0. Either of the factors could be equal to 0. If x −9 = 0 ⇔ x = 9. If x +8 = 0 ⇔ x = −8. x = 9 or x = −8 are the two ...

6. What is the perfect square of 72? - Socratic

   socratic.org/questions/what-is-the-perfect-square-of-72

   72 is not a perfect square, however the square root of 72 can be simplified further by prime factorising 72. √72 = √2 ⋅ 2 ⋅ 2 ⋅ 3 ⋅ 3. = √22 ⋅ 2 ⋅ 32. = 6√2. Answer link. iOS.

7. Monomial Factors of Polynomials - Algebra - Socratic

   socratic.org/algebra/polynomials-and-factoring/monomial-factors-of-polynomials

   To factor a polynomial completely: Identify and factor out the greatest common monomial factor. Break down every term into prime factors. Look for factors that appear in every single term to determine the GCF. Factor the GCF out from every term in front of parentheses and group the remnants inside the parentheses. Multiply each term to simplify.

8. Can #y= x^2-x-72 # be factored? If so what are the factors -...

   socratic.org/questions/can-y-x-2-x-72-be-factored-if-so-what-are-the-factors

   Can #y= x^2-x-72 # be factored? If so what are the factors ? Algebra Polynomials and Factoring Monomial Factors of Polynomials. 1 Answer

9. How do you find all factors of 36? - Socratic

   socratic.org/questions/how-do-you-find-all-factors-of-36

   So the factors of 36 are the numbers that divide exactly into it. One way is to find what pairs of numbers multiply to give 36. 1 × 36 = 36. so 1 & 36 are factors. 2 × 18 = 36. 3 × 12 = 36. 4 × 9 = 36. 6 × 6 = 36. There are no more possible pairs so we have all the factors in question.

10. How do I express 108 as a product of prime factors? - Socratic

    socratic.org/questions/how-do-i-express-108-as-a-product-of-prime-factors

    Explanation: You can start with any two factors of 108 and break them into smaller and smaller factors, until they are all prime numbers, 108 = 12 ×9. 108 = 4 × 3 ×3 × 3. 108 = 2 × 2 × 3 × 3 × 3. 108 = 22 × 33. 2^2 xx 3^3= 108 Search for all the primes it's divisible by. As it is even, it is divisible by 2. 108/2=54 54 is also ...

11. What are the common factors of 24 and 36? - Socratic

    socratic.org/questions/what-are-the-common-factors-of-24-and-36

    Common Factors are {1,2,3,4,6,12} Factors of 24 are {color(red)(1,2,3,4,6),8,color(red)12,24} Factors of 36 are {color(red)(1,2,3,4,6,)9,color(red)12,18,36} Common ...