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# Number Theory

### Common Factors and Number Tricks/Patterns

Question | Answer |
---|---|

How do you find out if a number is a multiple of 2? | If the number ends in a even number. ex: 226 |

How do you find out if a number is a multiple of 3? | If the sum of all of the numbers is a multiple of 3. ex: 18 1+8=9/3=3 |

How do you find out if a number is a multiple of 4? | If the last two numbers are a multiple of 4. ex: 564 |

How do you find out if a number is a multiple of 5? | If the number ends in 5 or 0. ex: 65 |

How do you find out if a number is a multiple of 6? | If a number is is a multiple of 2 and 3. ex:6 |

How do you find out if a number is a multiple of 7? | You work it out on your own. (no trick) |

How do you find out if a number is a multiple of 8? | If the last three numbers are a multiple of 8. ex: 1800 |

How do you find out if a number is a multiple of 9? | If the sum of the numbers are a multiple of 9. ex: 27 |

How do you find out if a number is a multiple of 10? | If the number ends in zero. ex: 30 |

What are the factors of 36? | 1,36,2,18,3,12,4,9,6 |

What are the factors of 45? | 1,45,3,15,5,9, |

What are the factors of 18? | 1,18,2,9,3,6 |

What are the factors of 50? | 1,50,2,25,5,10 |

What are the factors of 110? | 1,110,2,55,5,22,10,11 |

Created by:
mporterfield3