Question

Please help i will give a medal and fan :
Find the prime factors of the following numbers. Explain each number as a product of prime number using indices when needed.
a) 2310 b) 1440

Answer 1

since they are even, start by dividing by 2

Answer 2

2310 = 2 x 1155

Answer 3

ok

Answer 4

A number ending in 5 will be divisible by 5

2310 = 2 * 5 * 231

Answer 5

ok

Answer 6

231 is divisible by 3, take out a 3

2310 = 2 x 5 x 3 x 77

Answer 7

77 is divisible by 11

\[\large\color{blue}{ 2310 = 2 *5*3*11*7}\]

Answer 8

that is the prime factorization of 2310

Answer 9

2310 = 2 x 3 x 5 x 7 x 11

Answer 10

FOR 1440, what would you do first?

Answer 11

First thing i do , if it is even, keep pulling out 2's as many times as possible

Answer 12

1440 = 720 x 2

Answer 13

1440 = 360 x 2 x 2

Answer 14

1440 = 180 x 2 x 2 x 2

Answer 15

1440 = 90 x 2 x 2 x 2 x 2

Answer 16

45 x 2 x 2 x 2 x 2 x 2

Answer 17

9 x 5 x 2^5

Answer 18

3 x 3 x 5 x 2^5

Answer 19

\[\large\color{blue}{ 1440 = 2^5*3^2 *5}\]