Question 1 of 10beginner🔧 ApplyNumerical5 marks
Express each number as a product of its prime factors:
(i)
140
Answer
140 = 2² ×
(ii)
156
Answer
156 = 2² ×
(iii)
3825
Answer
3825 = 3² × 5² × 17
(iv)
5005
Answer
5005 = ×
(v)
7429
Answer
7429 = × 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 = × = 2² × . (ii) Divide 156 by 2 to get 78, divide 78 by 2 to get 39, divide 39 by 3 to get 13. So 156 = × = 2² × . (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 = × . (v) Divide 7429 by 17 to get 437, divide 437 by 19 to get 23. So 7429 = × 23.