Question

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

Answer 1

Using the division of a number by prime numbers method, we can get the product of prime factors of 140.

Therefore, 140 = 2 × 2 × 5 × 7 × 1 = 22 × 5 × 7

(ii) 156

Using the division of a number by prime numbers method, we can get the product of prime factors of 156.

Hence, 156 = 2 × 2 × 13 × 3 = 22 × 13 × 3

(iii) 3825

Using the division of a number by prime numbers method, we can get the product of prime factors of 3825.

Hence, 3825 = 3 × 3 × 5 × 5 × 17 = 32 × 52 × 17

(iv) 5005

Using the division of a number by prime numbers method, we can get the product of prime factors of 5005.

Hence, 5005 = 5 × 7 × 11 × 13 = 5 × 7 × 11 × 13

(v) 7429

Using the division of a number by prime numbers method, we can get the product of prime factors of 7429.

Hence, 7429 = 17 × 19 × 23 = 17 × 19 × 23

Answer 2

Answer:

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Step-by-step explanation:

(i) 140

140=2×70

=2×2×35

=2×2×5×7

=2×2×5×7×1

(ii) 156

156=2×78

=2×2×39

=2×2×3×13

=2×2×3×13×1

(iii) 3825

3825=3×1275

=3×3×425

=3×3×5×85

=3×3×5×5×17

=3×3×5×5×17×1

(iv) 5005

5005=5×1001

=5×7×143

=5×7×11×13

=5×7×11×13×1

(v) 7429

7429=17×437

=17×19×23

=17×19×23×1