Which of the following numbers divides 889897?

Correct option is C

Given:

Number: 889897

Options: 69, 52, 59, 64

Solution:

$$889{,}897 \div 59 \\ \ \\59 \times 15{,}000 = 885{,}000,\ \text{remainder } 4{,}897 \\ \ \\ 59 \times 80 = 4{,}720,\ \text{remainder } 177 \\ \ \\59 \times 3 = 177,\ \text{remainder } 0$$

Thus,

​$$889{,}897 = 59 \times (15{,}000+80+3) = 59 \times 15{,}083$$​​
Remainder = 0, so 59 divides 889897.

Option C : 59