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Home » How the Soil Web is Revolutionizing Agriculture (You Wont Believe What It Does!) - AssociationVoting

How the Soil Web is Revolutionizing Agriculture (You Wont Believe What It Does!) - AssociationVoting

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 Thus, always divisible by 3.

📌 But not by 9, as shown.

📌 Is it divisible by any higher number? Try divisibility by 15? No — $1 \cdot 3 \cdot 5 \cdot 7 = 105$, divisible by 15, but $3 \cdot 5 \cdot 7 \cdot 9 = 945$, also divisible by 15. But $5 \cdot 7 \cdot 9 \cdot 11 = 3465$, divisible by 5 and 3, but 5 and 7, but 3465 ÷ 15 = 231 — yes. But is it always divisible by $5$? No — try $7,9,11,13$: $7\cdot9\cdot11\cdot13 = 9009$, ends with 9 — not divisible by 5. So not always divisible by 5.

📌 Similarly, not divisible by 7: $9,11,13,15$: product $9\cdot11=99, 13\cdot15=195, 99\cdot195 = 19305$, ÷7 ≈ 2757.85 — not integer.

📌 So only guaranteed prime factor is 3. And we have at least $3^1$.

📌 But wait: is it divisible by $9$ always? No, as $105 = 3 \cdot 5 \cdot 7$, not divisible by 9.

📌 But is it divisible by $3$ always — yes.

📌 Is there a higher power? No.

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