Express each number as a product of its prime factors:(i) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429

Let's use the prime factorization method to prime factorize the provided numbers, then multiply the prime numbers to get the product of the prime numbers.

(i) Prime factorization of 140

140 = 2 x 2 x 5 x 7

= 2² x 5 x 7

(ii) Prime factorization of

156 = 2 x 2 x 3x 13

= 2² x 3 x 13 x

(iii) Prime factorization of

3825 = 3 x 3 x 5 x 5 x 17

= 3² x 5²x 17

(iv) Prime factorization of

5005 = 5 x 7 x 11 x 13

(v) Prime factorization of

7429 = 17 x 19 x 23

I. 140 = 2² x 5 x 7

II. 156 = = 2² x 3 x 13 x

III. 3825 = = 3² x 5²x 17

IV. 5005 5 x 7 x 11 x 13

V. 7429 = 17 x 19 x 23