225 divided by 3 equals 75 exactly, with no remainder. This is because 225 is a perfect multiple of 3 (the sum of digits of 225 is 2+2+5 = 9, which is divisible by 3). The answer 75 is also the square of 5√3... wait — 75 is 75. Verification: 3 × 75 = 225 ✓.
225 ÷ 3 = 75 (exact, no remainder).
Verification: 3 × 75 = 225 ✓
225 = 15² — a perfect square. √225 = 15.
225 = 3² × 5².
Divisibility check: 2+2+5 = 9, divisible by 3 ✓
75 = 3 × 25 = 3 × 5².
Method 1 — Long Division:
Step 1: 3 into 2? → 0 (0 times, carry forward) Step 2: 3 into 22? → 7 (7 times, since 3 × 7 = 21) 22 − 21 = 1 (remainder) Step 3: Bring down 5 → 15 3 into 15? → 5 (exactly, 3 × 5 = 15) 15 − 15 = 0 (no remainder)
Quotient = 75, Remainder = 0
Method 2 — Breaking into parts: 225 = 210 + 15 210 ÷ 3 = 70 15 ÷ 3 = 5 70 + 5 = 75
Method 3 — Using factors: 225 = 3 × 75 So 225 ÷ 3 = 75 ✓
Verification: 3 × 75 = 225 ✓
About 225: • 225 = 15² (225 is a perfect square) • 225 = 9 × 25 = 3² × 5² • Factors of 225: 1, 3, 5, 9, 15, 25, 45, 75, 225 • Sum of digits: 2 + 2 + 5 = 9 → divisible by 3 and 9 • √225 = 15
About 75: • 75 = 3 × 25 = 3 × 5² • 75 is also divisible by 3 (7 + 5 = 12, divisible by 3) • 75 ÷ 3 = 25 • 75 in Roman numerals = LXXV
Divisibility rule for 3: A number is divisible by 3 if the sum of its digits is divisible by 3. 225: 2 + 2 + 5 = 9. Since 9 is divisible by 3, 225 is divisible by 3. ✓
Other divisions of 225: • 225 ÷ 1 = 225 • 225 ÷ 3 = 75 • 225 ÷ 5 = 45 • 225 ÷ 9 = 25 • 225 ÷ 15 = 15 • 225 ÷ 25 = 9 • 225 ÷ 45 = 5 • 225 ÷ 75 = 3
225 divided by 3 = 75. There is no remainder. Verification: 3 × 75 = 225 ✓. 225 is divisible by 3 because its digit sum (2+2+5=9) is divisible by 3.
Yes. 225 is exactly divisible by 3. The divisibility rule: sum of digits of 225 = 2+2+5 = 9, which is divisible by 3. So 225 ÷ 3 = 75 with no remainder.
Factors of 225: 1, 3, 5, 9, 15, 25, 45, 75, 225. Since 225 = 3² × 5², its factors are all combinations of 3⁰,3¹,3² multiplied by 5⁰,5¹,5².
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