Question

Which of the following numbers are divisible by 2, 5 and 10?
A. 19400
B. 125370
C. 3000000
D. 580911

Answer 1

Hint: Here, use divisibility tests for each number by 2, 5 and 10. The numbers which pass the test are considered divisible by that number else not.

Complete step-by-step answer:
We have checked each and verify whether the number is divisible by 2, 5 and 10 or not.
A. 19400
This is an even number, hence divisible by 2.
Unit digit of this number is 0, hence divisible by 5.
Unit digit of this number is 0, hence divisible by 10.
Hence, 19400 is divisible by 2, 5 and 10.
B. 125370
This is an even number, hence divisible by 2.
Unit digit of this number is 0, hence divisible by 5.
Unit digit of this number is 0, hence divisible by 10.
Hence, 125370 is divisible by 2, 5 and 10.
C. 3000000
This is an even number, hence divisible by 2.
Unit digit of this number is 0, hence divisible by 5.
Unit digit of this number is 0, hence divisible by 10.
Hence, 3000000 is divisible by 2, 5 and 10.
D. 580911
This is not an even number, hence not divisible by 2.
Unit digit of this number does not end with either 0 or 5, hence not divisible by 5.
Unit digit of this number is not 0, hence not divisible by 10.
Hence, 125370 is not divisible by 2, 5 and 10.
Therefore, options (A), (B) and (C) are divisible by 2, 5 and 10.

Note: Divisibility by 2: As we know that all even numbers are divisible by 2 and a number is an even number if its unit digit contains even digits i.e., if a number ends with digits like 0, 2, 4, 6, 8 then the number is even and hence divisible by 2.
Divisibility by 5: If a number ends with 0 or 5, then it is divisible by 5.
Divisibility by 10: If a number ends with 0, then it is divisible by 10.