# Finding number of factors of a number

Concepts
Examples

If a number x divides another number y completely then x is a divisor of y. If x is
a prime number then x is called the prime factor of number x. **e.g** 1,2,3,6 are the factors of 6 and
2,3 are the prime factors of 6.

If any composite number N which can be expressed as N=**the number of factors of N
=(x+1)×(y+1)×(z+1)...**

**e.g** Find the number of factors of 24

24=2^{2}×3^{1}

∴ number of factors of
24 = (3+1)(1+1) = 8

**Question 1**Find the total number of factors of 1024 except 1 and 1024 itself.

8 | 9 |

10 | 11 |

**Question 2**Find number of factors of 1001

8 | 3 |

16 | 24 |

**Question 3**Find the total number of factors of 144

15 | 16 |

18 | 25 |

**Question 4**Find the number of factors of 970299

64 | 32 |

24 | 28 |

**Question 5**Find the total number of factors of 56 × 324

40 | 50 |

60 | 70 |