Explain why 7×11×13+13 and 7×6×5×4×3×2×1+5 are composite numbers.
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Explain why 7×11×13+13 and 7×6×5×4×3×2×1+5 are composite numbers.
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7×11×13+13
= 13 (7×11×1+1)
= 13 (7×11+1)
= 13 (77+1)
= 13×78
= 13×13×3×2
Since, it has more than two factors ... Hence, it is a composite number.. .
Now, 7×6×5×4×3×2×1+5
= 5 (7×6×1×4×3×2×1+1)
= 5 (7×6×4×3×2+1)
= 5 (1008+1)
= 5×1009×1
Since, it has more than two factors ... Hence, it is a composite number..
HOPE it helps to you!!!!
Step-by-step explanation:
➲ 7 × 11 × 13 + 13
➲ ( 7 × 11 + 1) × 13
➲ (77 + 1) × 13
➲ 78 × 13
➲ 2 × 3 × 13 × 13
By
Here, 7 × 11 × 13 + 13 = 2 × 3 × 13 × 13
So, is a
➲ 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5
➲ 5040 + 5
➲ 5045
➲ 5 × 1009
✨ It is the product of prime factors ✨
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