A number is less than 50, multiple of 7, have 3 factor.
Answers
Given : A number is less than 50. It is multiple of 7 it has 3 factors
To Find : the number
Solution:
Only perfect Square numbers have odd number of factors
all other number have even number of factor
As its given that
Number has 3 factors and 3 is odd hence number must be a square
As number is multiple of 7
and 7 is prime
Hence number must have square of 7
Hence 7² = 49
49 is less than 50
and factors are 1 , 7 and 49 which are 3
Hence required number is 49
Learn More:
Count the number of factors for perfect squares (4,9,25.. .)
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Step-by-step explanation:
Assuming your number is a positive number:
The numbers less than 50 which are a multiple of 5 are:
5,10,15,20,25,30,35,40,45
Of these, the only ones which are a multiple of 3 are:
15,30,45
The factors of each of these are:
15:1,3.5,15
30:1,2,3,5,6,10,15,30
45:1,3,5,9,15,45
Your number is 30