Last updated on May 26th, 2025
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 354.
The divisibility rule for 354 is a method by which we can determine if a number is divisible by 354 without using the division method.
Check whether 708 is divisible by 354 using the divisibility rule.
Step 1: Check divisibility by 2. The last digit of 708 is 8, which is even, so it is divisible by 2.
Step 2: Check divisibility by 3. Sum the digits of 708: 7 + 0 + 8 = 15. Since 15 is divisible by 3, 708 is divisible by 3.
Step 3: Check divisibility by 59. Use a calculator or long division to verify if 708 is exactly divisible by 59. In this case, 708 ÷ 59 = 12, which is an integer, so 708 is divisible by 59.
Since 708 is divisible by 2, 3, and 59, it is divisible by 354.
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 354.
Memorize the factors of 354 (2, 3, and 59) to quickly check divisibility. If a number is divisible by all these factors, it is divisible by 354.
First, check divisibility by smaller factors like 2 and 3, as these are quicker to verify before moving to larger factors like 59.
For checking divisibility by larger numbers (like 59 in this case), use a calculator or long division to verify.
For large numbers, continue using the divisibility tests of all factors until you confirm divisibility by all, ensuring the number is divisible by 354.
Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
The divisibility rule of 354 helps us to quickly check if a given number is divisible by 354, but common mistakes like calculation errors lead to incorrect results. Here, we will understand some common mistakes and how to avoid them.
Is 2124 divisible by 354?
Yes, 2124 is divisible by 354.
To check if 2124 is divisible by 354, follow these steps:
1) Divide 2124 by 354 directly.
2) 2124 ÷ 354 = 6 with no remainder.
3) The division results in a whole number, confirming that 2124 is divisible by 354.
Check if 708 is divisible by 354.
Yes, 708 is divisible by 354.
To verify divisibility of 708 by 354:
1) Divide 708 by 354.
2) 708 ÷ 354 = 2 with no remainder.
3) Since the quotient is a whole number, 708 is divisible by 354.
Is 1770 divisible by 354?
No, 1770 is not divisible by 354.
To determine if 1770 is divisible by 354:
1) Divide 1770 by 354.
2) 1770 ÷ 354 = 5 with a remainder.
3) The division leaves a remainder, indicating 1770 is not divisible by 354.
Can 3540 be divisible by 354?
Yes, 3540 is divisible by 354.
To confirm divisibility of 3540 by 354:
1) Divide 3540 by 354.
2) 3540 ÷ 354 = 10 with no remainder.
3) The result is a whole number, so 3540 is divisible by 354.
Check the divisibility of 1062 by 354.
Yes, 1062 is divisible by 354.
To check if 1062 is divisible by 354:
1) Divide 1062 by 354.
2) 1062 ÷ 354 = 3 with no remainder.
3) Since the quotient is a whole number, 1062 is divisible by 354.
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.