5. Agar 3575 × a ifodaning qiymati 260 ga karrali bo‘lsa, a ning eng kichik natural qiymatini toping.

Yechish:

1. 260 ning tub ko‘paytuvchilarga ajratilishi: \(260=2^2\cdot5\cdot13\).
2. 3575 ni ajratamiz: \(3575=5^2\cdot11\cdot13\). Ko‘paytma 260 ga bo‘linishi uchun unda yetishmayotgan \(2^2\) ko‘paytuvchisi bo‘lishi kerak.
3. Eng kichik mos natural son \(a=4\).

Javob: 4.