Identify Number Not a Multiple of 3
To determine if a number is a multiple of 3, we can use the divisibility rule for 3. This rule states that a number is divisible by 3 if the sum of its digits is divisible by 3.
Checking Multiples of 3
Let's apply this rule to each of the given numbers:
-
Number: 369
Sum of digits: $3 + 6 + 9 = 18$
Check: $18 \div 3 = 6$. Since 18 is divisible by 3, 369 is a multiple of 3. -
Number: 372
Sum of digits: $3 + 7 + 2 = 12$
Check: $12 \div 3 = 4$. Since 12 is divisible by 3, 372 is a multiple of 3. -
Number: 375
Sum of digits: $3 + 7 + 5 = 15$
Check: $15 \div 3 = 5$. Since 15 is divisible by 3, 375 is a multiple of 3. -
Number: 377
Sum of digits: $3 + 7 + 7 = 17$
Check: $17 \div 3 \approx 5.67$. Since 17 is not divisible by 3, 377 is NOT a multiple of 3.
Conclusion
Based on the divisibility rule for 3, the number 377 is the only number among the options whose sum of digits (17) is not divisible by 3. Therefore, 377 is NOT a multiple of 3.
Similar Questions
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- What is the remainder when 987654321 is divided by 9?
Important Questions from Divisibility and Remainder
If a five digit number 247xy is divisible by 3, 7 and 11, then what is the value of (2y - 8x)?
If the seven-digit number 94x29y6 is divisible by 72, then what is the value of (2x + 3y) for x ≠ y ?
Find the greatest value of b so that 30a68b (a > b) is divisible by 11.
What is the remainder when the product of 335, 608 and 853 is divided by 13?
- What is the least square number which is exactly divisible by 2, 3, 10, 18 and 20?
