Question

explain whether the number 3 × 5 × 13 ×46 + 23 is a prime number or composite number

Answer 1

Answer:

It is composite

Step-by-step explanation:

3 × 5 × 13 × 46 +23

= 3 × 5 × 13 × (2 × 23) + 23

= 2× 3 × 5 ×13 × 23 + 23

= 23 (2 × 3 ×5 ×13 + 1)

= 23 (390 + 1)

= 23 (391)

Therefore, the number has 1, 23, 391 and itself as factors.

Hence, it is a composite number.

Answer 2

Answer:

Step-by-step explanation:

3×5×13×46+23

3×5×13×2×23+23

23(3×5×2×13+1)

23(390+1)

23(391)

Also, 391=23×17

23×23×17

It is an composite no as it has 3 factors 23,17 &1