Express each number as a product of its prime factors: i)140 ii)15

1.	Express each number as a product of its prime factors: i)140 ii)156 iii)3825 iv)5005 v)7429
Answer» Solution : i) 140 Take LCM of 140 i.e 2×2×5×7×1 Hence, 140=2×2×5×7×1 ii) 156 Take LCM of 156 i.e 2×2×13×3×1 Hence, 156=2×2×13×3×1 iii)3825 Take LCM of 3825 i.e 3×3×5×5×17×1 Hence, 3825=3×3×5×5×17×1 iv)5005 Take LCM of 5005 i.e 5×7×11×13×1 Hence, 5005=5×7×11×13×1 v)7429 Take LCM of 7429 i.e 17×19×23×1 Hence, 7429=17×19×23×1

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

Answer»

Solution :

i) 140

Take LCM of 140 i.e 2×2×5×7×1

Hence, 140=2×2×5×7×1

ii) 156

Take LCM of 156 i.e 2×2×13×3×1

Hence, 156=2×2×13×3×1

iii)3825

Take LCM of 3825 i.e 3×3×5×5×17×1

Hence, 3825=3×3×5×5×17×1

iv)5005

Take LCM of 5005 i.e 5×7×11×13×1

Hence, 5005=5×7×11×13×1

v)7429

Take LCM of 7429 i.e 17×19×23×1

Hence, 7429=17×19×23×1