Question

Explain why 7×11×13+13 and 7×6×5×4×3×2×1+5 are composite numbers.​

Answer 1

QUESTION :-

Explain why 7×11×13+13 and 7×6×5×4×3×2×1+5 are composite numbers.

SOLUTION :-

Given numbers are

7×11×13+13 and

7×6×5×4×3×2×1+5

➡ 13(7 × 11 + 1) and

5(7 × 6 × 4 × 3 × 2 × 1 + 1)

➡13K and 5L, where K = 78 and L = 7 × 6 × 4 × 3 × 2 × 1 + 1 = 1009

As the given numbers can be written as product of two numbers, they are composite

Answer 2

7×11×13+13 and 7×6×5×4×3×2×1+15 are composite numbers

Explanation:

Given,

7×11×13+13 and 7×6×5×4×3×2×1+15

= 13(7×11+1) and 5(7×6×4×3×2×1+1)

= 13k and 5L

where

K =78

L = 7×6×4×3×2×1+1 = 1009

The given numbers can be written as product if two numbers so they are composite numbers.