Questions In how many possible ways can you write 1800 as a product of 3 positive integers a, b and c. More Videos In how many possible ways can you write 1800 as a product of 3 positive integers a, b and c. the Prime Factors of 1800 = 2 X 2 X 2 X3 X3 X 5 X 5 ( 3-1 ) (2) ways and by permutation we have:5!/2!(5-2)! This gives:5*4*3!/2*1*3!=10ways. (3-1 ) ( 2) and by permutation,we have:4*3*2*1/2*2=6ways (3-1 ) (2) and by permutation we have 4*3*2*1/2*2=6ways. To get the total number of ways 1800 can be written as a product of 3 integers we get the product of ways it’s prime factors can be written. That is:10*6*6=360 Related posts: What are all the factors of 72 and Prime Factors of 72? How To Find The Greatest Common Factor? What Is The Greatest Common Factor Of 4k, 18k4, And 12? 2 4 2k 4k What Is The Greatest Common Factor Of 24s3, 12s4, And 18s? What Is The Greatest Common Factor Of 24s3, 12s4, And 18s? What Is The Greatest Common Factor Of 42a5b3, 35a3b4, And 42ab4? What Is The Greatest Common Factor Of 60x4y7, 45x5y5, And 75x3y? What Is The Greatest Common Factor Of 18 And 48? What Is The Greatest Common Factor Of 75 And 30? What Is The Greatest Common Factor Of 9 And 12? What Is The Greatest Common Factor Of 8 And 12? What Is The Greatest Common Factor Of 16 And 24? What Is The Greatest Common Factor Of 27 And 36? What Is The Greatest Common Factor Of 16 And 36? What Is The Greatest Common Factor Of 32 And 36? What Is The Greatest Common Factor Of 40 And 60? What Is The Greatest Common Factor Of 12 And 18? What Is The Greatest Common Factor Of 12a And 9a2? What Is The Greatest Common Factor Of 4xy2 And 20x2y4? What Is The Greatest Common Factor Of 24 And 36? Related Topics: Up Next Which of the following numbers must be added to 5678 to give a reminder 35 when divided by 460? Don't Miss Find all the Seventh roots of (3+4i) Continue Reading Latest Popular Guest Post1 day ago 11 Cool Home Learning Space Ideas Guest Post1 day ago How To Manipulate And Create Directives In Angular? Guest Post1 day ago 11 Smart Ways Online Education is Blooming For Data Science Guest Post7 days ago What Is Alteryx And Its Purpose In Business Analytics? Guest Post1 week ago Power BI Tutorial – Introduction of Business Intelligence Guest Post1 week ago 5 Incredible Breakthroughs In The Realm Of Programming Languages Guest Post2 weeks ago How to Send Unlimited Bulk Emails using Python? Guest Post2 weeks ago What is Routing and How to use in Angular Application? LCM3 weeks ago Least Common Multiple (LCM) of 9 and 15 with Primes Guest Post3 weeks ago How Can I Learn SQL Programming Quickly? Math9 months ago Average Rate Of Change Formula Made Simple Math9 months ago List of Basic Maths Formulas for Class 5 to 12 Math2 years ago Percentage Formulas | How to Calculate Percentages of a Number? Math2 years ago Surface Area of a Triangular Prism Formula & Volume of a Triangular Math2 years ago Triangular Pyramid Formula | Volume & Surface Area of a Triangular Pyramid Math2 years ago Y Intercept & X Intercept Formula | Slope Intercept Form & Equation Math2 years ago What is (a-b)^3 Formula? a^3-b^3 Formula | (a-b)^2 | (a+b-c)^2 Math2 years ago What is Integration? List of Integration by Parts Formulas Math9 months ago List of Basic Algebra Formulas for Class 5 to 12 Math2 years ago What Is Loan Amortization Formula? Calculation & Example? Advertisement