Daniella has a computer program that can find the prime factorization of any number. she enters the number 180. what should she expect the program output to be? explain how you found your answer

2²×3²×5

Step-by-step explanation:

A prime number is a whole number greater than 1 that can not be found by multiplying other whole numbers

Write 180 in form of prime numbers multiples

180=2×90

     =2×2×45

     =2×2×3×15

     =2×2×3×3×5

     =2²×3²×5

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb