write the divisibility rules 2,3,5,6,10
Answers
Answer:
by 2 if the last digit of the number is 0, 2, 4, 6, or 8.
Example 1: Is the number 246 divisible by 2?
Solution: Since the last digit of the number 246 ends in 6, that means it is divisible by 2.
Example 2: Are all the numbers 100, 514, 309, and 768 divisible by 2?
Solution: If we examine all four numbers, only the number 309 doesn’t end with 0, 2, 4, 6, or 8. We can conclude that all the numbers above except 309 are divisible by 2.
divisibility rule for three or 3
A number is divisible by 3 if the sum of the digits of the number is divisible by 3.
Example 1: Is the number 111 divisible by 3?
Solution: Let’s add the digits of the number 111. We have 1 + 1 + 1 = 3. Since the sum of the digits is divisible by the 3, therefore the number 111 is also divisible by 3.
Example 2: Which of the two numbers 522 and 713 are divisible by 3?
Solution: The sum of the digits of the number 522 (5+2+2=9) is 9 which is divisible by 3. That makes 522 also divisible by 3. However, the number 713 has 11 as the sum of its digits. Because the sum of the digits is not divisible by 3 makes the number 713 not divisible by 3 as well.
divisibility rule for four or 4
A number is divisible by 4 if the last two digits of the number are divisible by 4.
Example 1: What is the only number in the set below is divisible by 4?
{945, 736, 118, 429}
Solution: Observe the last two digits of the four numbers in the set. Notice that 736 is the only number wherein the last two digits (36) is divisible by 4. We can conclude that 736 is the only number in the set that is divisible by 4.
Example 2: True or False. The number 5,554 is divisible by 4.
Solution: The last two digits of the number 5,554 is 54 which is not divisible by 4. That means the given number is NOT divisible by 4 so the answer is false.
divisibility rule for five or 5
A number is divisible by 5 if the last digit of the number is 0 or 5.
Example 1: Multiple Choice. Which number is divisible by 5.
A) 68
B) 71
C) 20
D) 44
Solution: In order for a number to be divisible by 5, the last digit of the number must be either 0 or 5. Going over the choices, only the number 20 is divisible by 5 so the answer is choice C.
Example 2: Select all the numbers that are divisible by 5.
A) 27
B) 105
C) 556
D) 343
E) 600
Solution: Both 105 and 600 are divisible by 5 because they either end in 0 or 5. Thus, options B and E are the correct answers.
divisibility rule for six or 6
A number is divisible by 6 if the number is divisible by both 2 and 3.
Example 1: Is the number 255 divisible by 6?
Solution: For the number 255 to be divisible by 6, it must divisible by 2 and 3. Let’s check first if it is divisible by 2. Note that 255 is not an even number (any number ending in 0, 2, 4, 6, or 8) which makes it not divisible 2. There’s no need to check further. We can now conclude that this is not divisible by 6. The answer is NO.
Example 2: Is the number 4,608 divisible by 6?
Solution: A number is an even number so it is divisible by 2. Now check if it is divisible by 3. Let’s do that by adding all the digits of 4,608 which is 4 + 6+ 0 + 8 = 18. Obviously, the sum of the digits is divisible by 3 because 18 ÷ 3 = 6. Since the number 4,608 is both divisible by 2 and 3 then it must also be divisible by 6. The answer is YES.
divisibility rule for nine or 9
A number is divisible by 9 if the sum of the digits is divisible by 9.
Answer:
2 = the ones digit should be even
3=the sum of the digits should be divisible by 3
5 = the ones place should be 5 or 0
6 =it should be divisible by 2 and 3
10= ones digit should be 0
Step-by-step explanation:
hope it helps