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SECTIONA(/2maI.Explain whether 3 × 12 × 101 + 4 is a prime number or a composite number.

Answer»

To prove:3 × 12 × 101 + 4 is a prime or composite numberSolution:3 × 12 × 101 + 4 = 3 ×( 3 × 4) × 101 + 4

= 4 [ 3 × 3 × 101 + 1 ]

= 4 × k [ where k = 3 × 3 × 101 + 1] ,

= 4 × k × 1

is a composite number as it has 3 factors

Therefore ,

3 × 12 × 101 + 4 is a composite number

Answer: 3 × 12 × 101 + 4 is a composite number

explain whether 3*12*101+4 is a prime or composite number



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