## Factors of 1 to 50

Factors are the numbers you multiply together to get another number. For example, the factors of 10 are 1, 2, 5, and 10 because 1 × 10 = 10 and 2 × 5 = 10. Understanding factors is a fundamental concept in mathematics, essential for various applications such as simplifying fractions, finding the greatest common divisors, and solving problems involving multiples and divisibility.

In this guide, we will explore the factors of numbers from 1 to 50. By examining these factors, you will gain a better understanding of how numbers are interconnected and how they can be broken down into their component parts. This knowledge is crucial for advancing in topics such as prime factorization, least common multiples, and algebraic expressions.

Download Factors of 1 to 50 in PDF

## Factors of 1 to 50

Download Factors of 1 to 50 in PDF

Numbers | Factors | Prime Factors Form | Prime/Composite |
---|---|---|---|

1 | 1 | 1 | Neither |

2 | 1, 2 | 2 | Prime |

3 | 1, 3 | 3 | Prime |

4 | 1, 2, 4 | 2² | Composite |

5 | 1, 5 | 5 | Prime |

6 | 1, 2, 3, 6 | 2 × 3 | Composite |

7 | 1, 7 | 7 | Prime |

8 | 1, 2, 4, 8 | 2³ | Composite |

9 | 1, 3, 9 | 3² | Composite |

10 | 1, 2, 5, 10 | 2 × 5 | Composite |

11 | 1, 11 | 11 | Prime |

12 | 1, 2, 3, 4, 6, 12 | 2² × 3 | Composite |

13 | 1, 13 | 13 | Prime |

14 | 1, 2, 7, 14 | 2 × 7 | Composite |

15 | 1, 3, 5, 15 | 3 × 5 | Composite |

16 | 1, 2, 4, 8, 16 | 2⁴ | Composite |

17 | 1, 17 | 17 | Prime |

18 | 1, 2, 3, 6, 9, 18 | 2 × 3² | Composite |

19 | 1, 19 | 19 | Prime |

20 | 1, 2, 4, 5, 10, 20 | 2² × 5 | Composite |

21 | 1, 3, 7, 21 | 3 × 7 | Composite |

22 | 1, 2, 11, 22 | 2 × 11 | Composite |

23 | 1, 23 | 23 | Prime |

24 | 1, 2, 3, 4, 6, 8, 12, 24 | 2³ × 3 | Composite |

25 | 1, 5, 25 | 5² | Composite |

26 | 1, 2, 13, 26 | 2 × 13 | Composite |

27 | 1, 3, 9, 27 | 3³ | Composite |

28 | 1, 2, 4, 7, 14, 28 | 2² × 7 | Composite |

29 | 1, 29 | 29 | Prime |

30 | 1, 2, 3, 5, 6, 10, 15, 30 | 2 × 3 × 5 | Composite |

31 | 1, 31 | 31 | Prime |

32 | 1, 2, 4, 8, 16, 32 | 2⁵ | Composite |

33 | 1, 3, 11, 33 | 3 × 11 | Composite |

34 | 1, 2, 17, 34 | 2 × 17 | Composite |

35 | 1, 5, 7, 35 | 5 × 7 | Composite |

36 | 1, 2, 3, 4, 6, 9, 12, 18, 36 | 2² × 3² | Composite |

37 | 1, 37 | 37 | Prime |

38 | 1, 2, 19, 38 | 2 × 19 | Composite |

39 | 1, 3, 13, 39 | 3 × 13 | Composite |

40 | 1, 2, 4, 5, 8, 10, 20, 40 | 2³ × 5 | Composite |

41 | 1, 41 | 41 | Prime |

42 | 1, 2, 3, 6, 7, 14, 21, 42 | 2 × 3 × 7 | Composite |

43 | 1, 43 | 43 | Prime |

44 | 1, 2, 4, 11, 22, 44 | 2² × 11 | Composite |

45 | 1, 3, 5, 9, 15, 45 | 3² × 5 | Composite |

46 | 1, 2, 23, 46 | 2 × 23 | Composite |

47 | 1, 47 | 47 | Prime |

48 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 | 2⁴ × 3 | Composite |

49 | 1, 7, 49 | 7² | Composite |

50 | 1, 2, 5, 10, 25, 50 | 2 × 5² | Composite |

The factors of numbers from 1 to 50 encompass all the integers that divide each number without leaving a remainder. For instance, the factors of 1 are just 1, while the factors of 50 include 1, 2, 5, 10, 25, and 50. Identifying these factors helps in various mathematical operations like simplifying fractions, finding greatest common divisors, and solving equations. Understanding the factors of numbers within this range provides a foundation for more advanced concepts in number theory and arithmetic, facilitating problem-solving and critical thinking skills in mathematics.