Divisibility rules

key notes:

✨ Divisibility Rules ✨

1️⃣ Divisible by 2 🟢

• A number is divisible by 2 if its last digit is 0, 2, 4, 6, or 8.
• Example: 24 ✅ (last digit 4), 37 ❌ (last digit 7)

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2️⃣ Divisible by 3 🔵

• A number is divisible by 3 if the sum of its digits is divisible by 3.
• Example: 123 → 1 + 2 + 3 = 6 ✅ (6 ÷ 3 = 2)

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3️⃣ Divisible by 4 🟣

• A number is divisible by 4 if its last two digits form a number divisible by 4.
• Example: 312 ✅ (last two digits 12, 12 ÷ 4 = 3), 101 ❌ (last two digits 01)

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4️⃣ Divisible by 5 🟡

• A number is divisible by 5 if its last digit is 0 or 5.
• Example: 45 ✅, 72 ❌

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5️⃣ Divisible by 6 🔺

• A number is divisible by 6 if it is divisible by both 2 and 3.
• Example: 24 ✅ (even and sum of digits 6), 25 ❌

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6️⃣ Divisible by 9 🔴

• A number is divisible by 9 if the sum of its digits is divisible by 9.
• Example: 729 → 7 + 2 + 9 = 18 ✅ (18 ÷ 9 = 2)

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7️⃣ Divisible by 10 ⚪

• A number is divisible by 10 if its last digit is 0.
• Example: 50 ✅, 53 ❌

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💡 Tip for Students:

• Always look at the last digit for 2, 5, 10 rules.
• Add all digits for 3 and 9 rules.
• Check last two digits for 4.
• Combine rules for numbers like 6!

Learn with an example

Let’s practice!