the number of distinct prime factor of the largest 4-digit number is
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Distinct Prime Factors :-
The numbers consisting only of distinct prime factors are precisely the square free numbers. We can under stand this with the help of a table.
Number Prime Factorization Distinct Prime Number of Distinct
Factors Prime Factors
____________________________________________________________
1 - - 0
2 2 2 1
3 3 3 1
4 2² 2 1
5 5 5 1
6 2*3 2, 3 2
7 7 7 1
8 2³ 2 1
9 3² 3 1
10 2*5 2, 5 2
11 11 11 1
12 2²*3 2, 3 2
13 13 13 1
14 2*7 2, 7 2
15 3*5 3, 5 2
16 2⁴ 2 1
17 17 17 1
18 2*3² 2, 3 2
19 19 19 1
20 2²*5 2, 5 2
_________________________________________________________
Number of distinct prime factors of the largest 4 digit number.
Largest 4 digit number = 9999
Prime Factorization of 9999 = 3²*11*101
Distinct prime factors of 9999 = 3, 11 and 101
Therefore, the total number of distinct prime factors of 9999 is 3 (i.e. 3, 11 and 101).
Answer.
The numbers consisting only of distinct prime factors are precisely the square free numbers. We can under stand this with the help of a table.
Number Prime Factorization Distinct Prime Number of Distinct
Factors Prime Factors
____________________________________________________________
1 - - 0
2 2 2 1
3 3 3 1
4 2² 2 1
5 5 5 1
6 2*3 2, 3 2
7 7 7 1
8 2³ 2 1
9 3² 3 1
10 2*5 2, 5 2
11 11 11 1
12 2²*3 2, 3 2
13 13 13 1
14 2*7 2, 7 2
15 3*5 3, 5 2
16 2⁴ 2 1
17 17 17 1
18 2*3² 2, 3 2
19 19 19 1
20 2²*5 2, 5 2
_________________________________________________________
Number of distinct prime factors of the largest 4 digit number.
Largest 4 digit number = 9999
Prime Factorization of 9999 = 3²*11*101
Distinct prime factors of 9999 = 3, 11 and 101
Therefore, the total number of distinct prime factors of 9999 is 3 (i.e. 3, 11 and 101).
Answer.
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Plzz answer ASAP... will ark brainliest.... 2 the first person who answers it correctly...
The no of distinct prime factors of the smallest 4-digit no is...
a) 2
b) 4
c) 6
d) 8
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