# Odd Whole Numbers

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The numbers 2,4,6,8,10,12,… are multiple of 2. These numbers are called even numbers.

The first fifty odd and even numbers are :

Odd nos. :

1 | 3 | 5 | 7 | 9 |

11 | 13 | 15 | 17 | 19 |

21 | 23 | 25 | 27 | 29 |

31 | 33 | 35 | 37 | 39 |

41 | 43 | 45 | 47 | 49 |

Even numbers :

2 | 4 | 6 | 8 | 10 |

12 | 14 | 16 | 18 | 20 |

22 | 24 | 26 | 28 | 30 |

32 | 34 | 36 | 38 | 40 |

42 | 44 | 46 | 48 | 50 |

You can verify that two digit number or three digit number is even or not.

But if the number is large like 7506982 is even? By dividing it by it by 2 is a long method. So easy way to check it as even by observing its unit(ones ) digit.

If the unit (ones) digit of number is either 0,2,4,6, or 8 then the number is even number.

So in above example, 750698

__2__unit(ones) digit is 2 so the number 7506982 is an even number.

So the numbers like 452,594,7756,1038, 4510,… are even numbers. The numbers whose unit (ones) digit is other that 0,2,4,6,8 are oddd numbers. That means the numbers whose unit (ones) digit is 1,3,5,7,9 are odd nos.(numbers).

The smallest even number is 2.

**2 is the smallest prime number which is even.**

The other prime numbers are 3,5,7,11,13,17,19,… .In this list there is no even number. Thus

**every prime number except 2 is odd.**

**Example :**Check whether the given number is odd or even.

1) 231,845

**Solution :**The unit (ones) digit is 5, which is odd . So the number 231,845 is an odd no.

2) 47,988

**Solution :**The unit (ones) digit is 8, which is even . So the number 47,988 is an even no.

3) 1,211

**Solution :**The unit (ones) digit is 1, which is odd . So the number 1,211 is an odd no.

## Practice Questions on Odd whole numbers

Q.1 State whether the following statements are True or False.(give reason).1) The sum of three odd numbers is even.

2) The sum of two odd numbers and one even number is even.

3) The product of three odd numbers is odd.

4) If even number is divided by 2, the quotient is always odd.

5) All prime numbers are odd.

6) Sum of two prime numbers is always even.

Q.2 Write the odd numbers between 250 and 300.

From odd numbers to 6th Grade math

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