Option 4 : 15

33102 is given number

Prime factors of the number = a × b × c .....

Total number of factors of given number is (m + 1) × (n + 1) × (o + 1),

Where a, b and c are prime factors of the number and m, n and o are their power

Prime factors of 33102

2 | 33102 |

3 | 16551 |

3 | 5517 |

3 | 1839 |

613 | 613 |

1 |

So, (2) × (3) × (613)

Total number of factors = (1 + 1) × (3 + 1) × (1 + 1) - 1

⇒ (2) × (4) × (2) - 1

⇒ 16 - 1

⇒ 15

**∴ Number of divisors of 33102 excluding itself is 15.**

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