Question

Find the prime –power representation of each of the following numbers: 84

Answer 1

start dividing your number with smallest prime number, (which is...?)

Answer 2

1

Answer 3

1 is neither prime nor composite.

Answer 4

oh.. then 3

Answer 5

where id 2 go ?? :O :P

Answer 6

*did

Answer 7

its basics to know that 2 is smallest prime....
start dividing your number with 2, what u get ?

Answer 8

oh, thats right..... 2

Answer 9

42

Answer 10

yes, 84 =2*42
is 42 still divisible by 2 ? if yes, then divide again

Answer 11

continue dividing until the numbe you get is no longer divisible by 2

Answer 12

21

Answer 13

so, 84 = 2*2*21 = 2^2 *21
now since, 21 is not divisible by 2, we go for next smallest prime after 2 (which is...?)

Answer 14

3

Answer 15

divide 21 by 3 then

Answer 16

7

Answer 17

so, 84 = 2^2 * 3*7
right ?

Answer 18

yes

Answer 19

since these are prime numbers and cannot be divided further, your prime –power representation will be \(84 =2^2 3^17^1\)

Answer 20

Prime factors of positive integers are found by using the primes in order as divisors. The prime factorization of a positive integer is the expression of the integer as a product of prime factors.

Answer 21

ok. So the number 432 would be 2^4 3^3

Answer 22

yes, thats correct! good work :)

Answer 23

Yay! :)

Answer 24

what about the number 109?

Answer 25

109 is itself a prime number

Answer 26

oh, so what would I put? just leave it 109?

Answer 27

yeah, just 109 or 109^1

Answer 28

ok. What about 17,017?