(a) Factor the number 4537 by searching for x such thatis the product of small prime power...

(a) Factor the number 4537 by searching for x such that

is the product of small prime powers.

(b) Use the procedure indicated in part (a) to factor 14429.

[Hint: 1202 − 14429 = −29 and 30032 − 625 · 14429 = −116.]