Question 1 of 10beginner🔧 ApplyNumerical5 marks

Express each number as a product of its prime factors:

(i)

140

Answer

140 = 2² × 5×75 \times 7

(ii)

156

Answer

156 = 2² × 3×133 \times 13

(iii)

3825

Answer

3825 = 3² × 5² × 17

(iv)

5005

Answer

5005 = 5×75 \times 7 × 11×1311 \times 13

(v)

7429

Answer

7429 = 17×1917 \times 19 × 23

Explanation

(i) Divide 140 by 2 to get 70, divide 70 by 2 to get 35, divide 35 by 5 to get 7. So 140 = 2×22 \times 2 × 5×75 \times 7 = 2² × 5×75 \times 7. (ii) Divide 156 by 2 to get 78, divide 78 by 2 to get 39, divide 39 by 3 to get 13. So 156 = 2×22 \times 2 × 3×133 \times 13 = 2² × 3×133 \times 13. (iii) Divide 3825 by 3 to get 1275, divide 1275 by 3 to get 425, divide 425 by 5 to get 85, divide 85 by 5 to get 17. So 3825 = 3² × 5² × 17. (iv) Divide 5005 by 5 to get 1001, divide 1001 by 7 to get 143, divide 143 by 11 to get 13. So 5005 = 5×75 \times 7 × 11×1311 \times 13. (v) Divide 7429 by 17 to get 437, divide 437 by 19 to get 23. So 7429 = 17×1917 \times 19 × 23.