Question

The no.of factors of 315 is ?

Answer 1

HEY MATE HERE IS UR ANSWER:-

1,3,5,7,9,15,21,35,45,63,105,315,

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Answer 2

Solution :

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If P = x^a * y^b * z^c

where x , y and z are prime numbers

then

number of factors of p=(a+1)(b+1)(c+1)

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Now ,

Resolving the 315 into product of

prime ,

315 = 3 × 3 × 5 × 7

= 3² × 5¹ × 7¹

Therefore ,

Number of factors of 315

= ( 2 + 1 )( 1 + 1 )( 1 + 1 )

= 3 × 2 × 2

= 12

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