Directions: Read the examples below and find numbers which are divisible by 2, 5, and 10.
Example 1
748 is an even number and is divisible by 2
875 ends in 5 and is divisible by 5
560 ends in zero and is divisible by 2, 5, 10
Example 2
7,484 is an even number and is divisible by 2
8,375 ends in 5 and is divisible by 5
5,260 ends in zero and is divisible by 2, 5, 10
Example 3
65,592 is an even number and is divisible by 2
14,565 ends in 5 and is divisible by 5
34,560 ends in zero and is divisible by 2, 5, 10
Answer (2)
A number is divisible by 2, 5, and 10 if it ends in 0. Examples of such numbers include 0, 10, 20, 30, and 40. All these numbers are even and meet the criteria for divisibility by 2, 5, and 10.
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To find numbers that are divisible by 2, 5, and 10, we need to understand the divisibility rules for each of these numbers:
Divisibility by 2 : A number is divisible by 2 if it is an even number, meaning it ends in 0, 2, 4, 6, or 8.
Divisibility by 5 : A number is divisible by 5 if it ends in 0 or 5.
Divisibility by 10 : A number is divisible by 10 if it ends in 0.
To be divisible by all three (2, 5, and 10) as specified in your examples, the number must end in 0 because:
Ending in 0 ensures it's divisible by 10, which also automatically means it is divisible by 5 (since 10 is a multiple of 5) and by 2 (since it’s an even number).
Now, let's look at the examples again:
Example 5560 : This number ends in 0, meaning it is divisible by 10, and hence by both 2 and 5.
Example 5,260 : This number ends in 0, again ensuring divisibility by 2, 5, and 10.
Example 34,560 : This also ends in 0, making it divisible by 2, 5, and 10.
In conclusion, to check whether a number is divisible by 2, 5, and 10, simply check if it ends in 0. Numbers that fulfill this condition will meet all the divisibility criteria.
