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You can easily find out the day of any week using the formula

**d + m + y + ( y / 4 ) + c **

**d **- date,

**m **- month

**y **- is the last two digits of the year.

**c **is the century.

If the first two digit of the year is divisible by 4, then the **value of c** will be **6**. If not, successive century will be reduced by **2**.

**For Example:**

Consider for the centuries **1600, 1700, 1800, 1900, 2000, 2100, 2200** the century value will be **6, 4, 2, 0, 6, 4, 2**.

For month, substitute the values given in the **month table**.

Month | Month Number | Month no (leap year) |
---|---|---|

January | 0 | 6 |

February | 3 | 2 |

March | 3 | 3 |

April | 6 | 6 |

May | 1 | 1 |

June | 4 | 4 |

July | 6 | 6 |

August | 2 | 2 |

September | 5 | 5 |

October | 0 | 0 |

November | 3 | 3 |

December | 5 | 5 |

Day | Day Number |
---|---|

Sunday | 0 |

Monday | 1 |

Tuesday | 2 |

Wednesday | 3 |

Thursday | 4 |

Friday | 5 |

Saturday | 6 |

For Example, **5 / 1 / 2015**

Substituting in the formula,

**d + m + y + ( y / 4 ) + c = 5 + 0 + 15 + ( 15 / 4) + 6**

**= 5 + 0 + 15 + 3 (integer) + 6**

**= 29 / 7** (Divide the obtained value with the total number of days)

Here the remainder is 1, its **Monday**.

Let us try an other example with **leap year, 13.6.1992**

Substituting in the formula,

**d + m + y + ( y / 4) + c = 13 + 4 + 92 + 92 / 4 + 0**

**= 132 / 7**

Here the remainder is 6, its **Saturday**

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Daily Maths Topic Today - find out the day of the week.