Question

why isn't 21^3*33*25^14 is a prime factorization?

Answer 1

because 21 and 25 aren't prime numbers

Answer 2

oh and 33 as well

Answer 3

how about 105, is it a prime???

Answer 4

no since it's divisible by 3

Answer 5

105/3 = 35

Answer 6

but 145 is a prime?

Answer 7

no, it's divisible by 5

Answer 8

since it ends with a 5

Answer 9

all right, got it. thanks for helping...

Answer 10

\[21^3*33*25^{14}\]
\[=3^{3}*7^{3}*3*11*5^{28}\]
\[=3^{4}*5^{28}*7^{3}*11\]
now in prime factorization

Answer 11

145 is not prime