Question

Express the following in terms of prime factorization
(a) 2,904 (b) 1,500 (c) 3,969 (d) 9,317 (e) 2,907 (f) 4,641​

Answer 1

Step-by-step explanation:

(a).

2 x 2 x 2 x 3 x 11 x 11 = 2,904

(b).

Thus, the Prime Factors of 1500 are: 2, 2, 3, 5, 5, 5.

(c).

If we put all of it together we have the factors 3 x 3 x 3 x 3 x 7 x 7 = 3,969. It can also be written in exponential form as 34 x 72.

(d)

Positive Integer factors of 9317 = 7, 11, 77, 847, 9317 divided by 7, 11, 11, 11, gives no remainder.

(e)

3 x 3 x 17 x 19 = 2,907. It can also be written in exponential form as 32 x 171 x 191.

(f)

If we put all of it together we have the factors 3 x 7 x 13 x 17 = 4,641. It can also be written in exponential form as 31 x 71 x 131 x 171