explain why 7×11×13+13 and 7×6×5×4×3×2×1+5 are composite numbers
Answers
Answered by
1
Answer:
Step-by-step explanation:
7x11x13+13
13(7x11+1)
13(77+1)
13x13x3x2
since it is more than 2 factors
it is composite
7×6×5×4×3×2×1+5
5(7x6x4x3x2+1)
5(1008+1)
5(1009)
since it also has more than 2 factors
it is composite
Answered by
3
Concept to be used here:
- Factorization ⇄ Distribution Law
The factorization of 7×11×13+13
- 13×(7×11+1)
The factorization of 7×6×5×4×3×2×1+5
- 5×(7×6×4×3×2×1+1)
The above are multiplication of two other numbers. Now since there are two factors besides 1, it is a composite number.
For your information,
Imagine if we had 10×(10+1).
It would become 10×10+10 because of the distribution law.
Now let us think of the opposite like if we had 10×10+10.
The opposite is factorization 10×(10+1).
Similar questions