All numbers have factors. Some factors are prime numbers. These are known as prime factors. Some numbers have some of the same prime factors as other numbers. These are known as common prime factors. 3 is a common prime factor of 12 and 15.
11 is a prime number. Its only factors are one and itself.
54 6 x 9 3x2 3x3 Answer: 3to the 3rd power times 2 3^3x2
325 is a triangle number. The exponents in the prime factorization are 2 and 1. Adding one to each and multiplying we get (2+1) (1+1)= 3x2 =6 Therefore 325 has exactly 6 factors
(3x - 4)(x - 1)
That factors to (x + 5)(3x + 2)
3x2 + 36x + 81 = 3(x2 + 12x + 27) = 3(x + 3)(x + 9), which are its prime factors; or, if you prefer, 3x2 + 36x + 81 = (3x + 9)(x + 9), which is also accurate. You may easily verify these results by multiplying back.
3x2-7x+4 = (3x-4)(x-1) when factored
(x + 4)(3x - 5)
Prime factors of 6: 3x2 9: 3^2 Answer is 3
-3(x - 26)(x - 50)
Prime factors of 5 = 5 Prime factors of 6 = 3x2 Thus LCM = 3x2x5 =30 Simple, Year 6 stuff.
3x2 + 4x factors to x(3x + 4)
30 ^ 6x5 ^ ^ 3x2 5 So the answer is 3,2, and 5
3x2 + 27x +60
[ x3 + 3x2 + 2x ] is a trinomial. It's factors are [ x, (x + 1), (x + 2) ] .
(3x + 9)(x - 3) ie 3.(x + 3)(x - 3)