. Explain why 2x13x13+13 and 7x6x5x13x2
X + 5
composite numbers.
aune
Answers
Step-by-step explanation:
1)
2 × 13 ×13 + 13 = 13 ( 2 × 13 + 1)
= 13 ( 26 + 1)
= 13 (27)
= 13 × 3 ×3 ×3
= 13 × 3³
so 2 × 13 × 13 + 13 can be expressed as a multiplication of prime numbers,
( this number contains 13 and 3³ as a factor)
so this number is a composite number.
2)
7 × 6 × 5 ×13 × 2 + 5 = 5 ( 7 × 6 × 13 ×2 + 1)
= 5 ( 42 × 26 + 1)
= 5 ( 1092 + 1)
= 5 × 1093
so the above number is expressed as a multiplication of prime numbers,
( this number contains 5 and 1093 as a factor )
so this number is a composite number.
I hope this will help you.
Happy to help.
Thank you.