Question

Express each number as a product of its prime factors:

(i) $140$ (ii) $156$ (iii) $3825$ (iv) $5005$ (v) $7429$

Answer 1

(i) $140$

$140$

$=2\times 70$

$=2\times 2\times 35$

$=2\times 2\times 5\times 7$

(ii) $156$

$156$

$=2\times 78$

$=2\times 2\times 39$

$=2\times 2\times 3\times 13$

(iii) $3825$

$3825$

$=3\times 1275$

$=3\times 3\times 425$

$=3\times 3\times 5\times 85$

$=3\times 3\times 5\times 5\times 17$

(iv) $5005$

$5005=5\times 1001$

$=5\times 7\times 143$

$=5\times 7\times 11\times 13$

(v) $7429$

$7429=17\times 437$

$=17\times 19\times 23$