Number of Prime factors of a Number
$begingroup$
Find the number of prime factors of $(30)^7 times (22)^5 times (34)^{11}$
My Work
The prime factorisation of the above number is $2^{34} times 3^7 times 5^7 times 11^5 times 17^{11}$
Now the number of distinct prime factors of the number is 5.
But total prime factors are=$34+7+7+5+11$
Am I going correct way?
number-theory
asked Dec 26 '18 at 10:07
user3767495user3767495
4078
$endgroup$
add a comment |
$begingroup$
Find the number of prime factors of $(30)^7 times (22)^5 times (34)^{11}$
My Work
The prime factorisation of the above number is $2^{34} times 3^7 times 5^7 times 11^5 times 17^{11}$
Now the number of distinct prime factors of the number is 5.
But total prime factors are=$34+7+7+5+11$
Am I going correct way?
number-theory
asked Dec 26 '18 at 10:07
user3767495user3767495
4078
$endgroup$
2
$begingroup$
If the prime factorization is indeed as it is given, then it suggests only that the question is poorly framed. (Unless the answer is indeed $5$ but I doubt you'd be here if that's the case.) Could you please quote, word for word, the exact question? Because something is not adding up right here.
$endgroup$
– Eevee Trainer
Dec 26 '18 at 10:08
1
$begingroup$
The reasonable interpretation of this question (if there is no further context) would be to count the distinct prime factors.
$endgroup$
– Peter
Dec 26 '18 at 10:24
add a comment |
$begingroup$
Find the number of prime factors of $(30)^7 times (22)^5 times (34)^{11}$
My Work
The prime factorisation of the above number is $2^{34} times 3^7 times 5^7 times 11^5 times 17^{11}$
Now the number of distinct prime factors of the number is 5.
But total prime factors are=$34+7+7+5+11$
Am I going correct way?
number-theory
asked Dec 26 '18 at 10:07
user3767495user3767495
4078
$endgroup$
Find the number of prime factors of $(30)^7 times (22)^5 times (34)^{11}$
My Work
The prime factorisation of the above number is $2^{34} times 3^7 times 5^7 times 11^5 times 17^{11}$
Now the number of distinct prime factors of the number is 5.
But total prime factors are=$34+7+7+5+11$
Am I going correct way?
number-theory
number-theory
asked Dec 26 '18 at 10:07
user3767495user3767495
4078
asked Dec 26 '18 at 10:07
user3767495user3767495
4078
asked Dec 26 '18 at 10:07
user3767495user3767495
4078
asked Dec 26 '18 at 10:07
user3767495user3767495
4078
asked Dec 26 '18 at 10:07
user3767495user3767495
4078
4078
2
$begingroup$
If the prime factorization is indeed as it is given, then it suggests only that the question is poorly framed. (Unless the answer is indeed $5$ but I doubt you'd be here if that's the case.) Could you please quote, word for word, the exact question? Because something is not adding up right here.
$endgroup$
– Eevee Trainer
Dec 26 '18 at 10:08
1
$begingroup$
The reasonable interpretation of this question (if there is no further context) would be to count the distinct prime factors.
$endgroup$
– Peter
Dec 26 '18 at 10:24
add a comment |
2
$begingroup$
If the prime factorization is indeed as it is given, then it suggests only that the question is poorly framed. (Unless the answer is indeed $5$ but I doubt you'd be here if that's the case.) Could you please quote, word for word, the exact question? Because something is not adding up right here.
$endgroup$
– Eevee Trainer
Dec 26 '18 at 10:08
1
$begingroup$
The reasonable interpretation of this question (if there is no further context) would be to count the distinct prime factors.
$endgroup$
– Peter
Dec 26 '18 at 10:24
2
2
$begingroup$
If the prime factorization is indeed as it is given, then it suggests only that the question is poorly framed. (Unless the answer is indeed $5$ but I doubt you'd be here if that's the case.) Could you please quote, word for word, the exact question? Because something is not adding up right here.
$endgroup$
– Eevee Trainer
Dec 26 '18 at 10:08
$begingroup$
If the prime factorization is indeed as it is given, then it suggests only that the question is poorly framed. (Unless the answer is indeed $5$ but I doubt you'd be here if that's the case.) Could you please quote, word for word, the exact question? Because something is not adding up right here.
$endgroup$
– Eevee Trainer
Dec 26 '18 at 10:08
1
1
$begingroup$
The reasonable interpretation of this question (if there is no further context) would be to count the distinct prime factors.
$endgroup$
– Peter
Dec 26 '18 at 10:24
$begingroup$
The reasonable interpretation of this question (if there is no further context) would be to count the distinct prime factors.
$endgroup$
– Peter
Dec 26 '18 at 10:24
add a comment |
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$begingroup$
If the prime factorization is indeed as it is given, then it suggests only that the question is poorly framed. (Unless the answer is indeed $5$ but I doubt you'd be here if that's the case.) Could you please quote, word for word, the exact question? Because something is not adding up right here.
$endgroup$
– Eevee Trainer
Dec 26 '18 at 10:08
1
$begingroup$
The reasonable interpretation of this question (if there is no further context) would be to count the distinct prime factors.
$endgroup$
– Peter
Dec 26 '18 at 10:24