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# If K is a factor of positive integer X that has total 8 factors

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If K is a factor of positive integer X that has total 8 factors [#permalink]
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workout wrote:
If K is a factor of positive integer X that has total 8 factors, then how many prime factors does $$K^2X^n$$ have?

A. 2

B. 3

C. $$n^3$$

D. $$(n+1)^3$$

E. cannot be determined.

rahulkashyap
yes, it cannot be determined till we do not know what are the number of prime factors of x
1) 8=1*8 so a^7.... just one prime factor.....
2) 8=2*4 so a^1*b^3... so two factors a and b
3) 8=2*2*2 so abc.. 3 factors

so we cannot say for sure if it is 1 or 2 or 3

E
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Re: If K is a factor of positive integer X that has total 8 factors [#permalink]
chetan2u wrote:
workout wrote:
If K is a factor of positive integer X that has total 8 factors, then how many prime factors does $$K^2X^n$$ have?

A. 2

B. 3

C. $$n^3$$

D. $$(n+1)^3$$

E. cannot be determined.

rahulkashyap
yes, it cannot be determined till we do not know what are the number of prime factors of x

E

If K is a factor, the question basically asks the number of favors of x, correct? Because k cannot have any new prime factors

So it can be 1 (a^7)
2( a^3 b^1)
3(a b c)

Posted from my mobile device
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Re: If K is a factor of positive integer X that has total 8 factors [#permalink]
rahulkashyap wrote:
chetan2u wrote:
workout wrote:
If K is a factor of positive integer X that has total 8 factors, then how many prime factors does $$K^2X^n$$ have?

A. 2

B. 3

C. $$n^3$$

D. $$(n+1)^3$$

E. cannot be determined.

rahulkashyap
yes, it cannot be determined till we do not know what are the number of prime factors of x

E

If K is a factor, the question basically asks the number of favors of x, correct? Because k cannot have any new prime factors

So it can be 1 (a^7)
2( a^3 b^1)
3(a b c)

Posted from my mobile device

absolutely correct..
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Re: If K is a factor of positive integer X that has total 8 factors [#permalink]
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Re: If K is a factor of positive integer X that has total 8 factors [#permalink]
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