Q1 of 54 Page 8

Express each of the following number as a product of its prime factors.

(i) 140


(ii) 156


(iii) 3825


(iv) 5005


(v) 7429

I. 140 = 2×2×5×7 = 22×5×7


II. 156 = 2×2×3×13 = 22×3×13


III. 3825 = 3×3×5×5×17 = 32×52×17


IV. 5005 = 5×7×11×13


V. 7429 = 17×19×23


More from this chapter

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4

Use Euclid’s division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8.

 5

Show that one and only one out of n, n + 2 or n + 4is divisible by 3, where n is any positive integer.

 2

Find the LCM and HCF of the following integers by the prime factorization method.

(i) 12, 15 and 21


(ii) 17, 23 and 29


(iii) 8, 9 and 25


(iv) 72 and 108


(v) 306 and 657

 3

Check whether 6n can end with the digit 0 for any natural number n.