Question

The number of distinct prime factors of the largest 6 digit number is?
5
6
3
4​

Answer 1

Answer:

• This number of distinct prime factors of the largest 6 digit number is 5. (Option A)

Solution:

Given number:

• Largest 6 digit number = 999999

To Find:

• The number of distinct prime factors.

To solve this question, we will find the prime factorisation of the number. Then, we will arrange the numbers and find the distinct primes.

Let's solve it.

3 | 999999 |

3 | 333333 |

3 | 111111 |

7 | 37037 |

11 | 5291 |

13 | 481 |

37 | 37 |

| 1 |

Therefore,

999999 = 3 × 3 × 3 × 7 × 11 × 13 × 37

=3³ × 7¹ × 11¹ × 13¹ × 37¹

Therefore, distinct prime numbers are - 3, 7, 11, 13, 37

So, total number of distinct prime factors are 5. (Option A)

Answer 2

3

Option [ C ] is the answer

The number of distinct prime factors of the largest 6 digit number is 3