What is the prime factorization of 2695?

We draw a vertical line and write 2695 to the left of the line:

2695 |

2695 is divisible by 11

2695 : 11 = 245

We write 11 (the divisor) to the right of the line and 245 to the left of the line:

2695 | 11 |

245 |

11 is a prime number.

245 is not a prime number.

See Prime numbers 1 through 300.

245 is divisible by 5

245 : 5 = 49

See Divisibility criteria for 5.

We write 5 (the divisor) to the right of the line and 49 to the left of the line:

2695 | 11 |

245 | 5 |

49 |

49 is divisible by 7

49 : 7 = 7

We write 7 (the divisor) to the right of the line and 7 to the left of the line:

2695 | 11 |

245 | 5 |

49 | 7 |

7 |

7 is a prime number. 7 is divisible by itself and by 1. We divide 7 by 7:

7 : 7 = 1

and write 7 (the divisor) to the right of the line and 1 to the left of the line:

2695 | 11 |

245 | 5 |

49 | 7 |

7 | 7 |

1 |

The numbers to the right of the line are prime factors of the number 2695.

Therefore, the prime factorization of 2695 is

2695 =

5 * 7 * 7 * 11

5 * 7 * 7 * 11

The prime factorization of 2695 using exponents

2695 = 5 * 7^{2} * 11

So, the prime factors of 2695 are

5, 7, 7, 11