A number is divisible by 10 if its last digit is 0. This simple rule eliminates the need for complex calculations.
Understanding Divisibility by 10
Divisibility rules provide shortcuts to determine if a number is evenly divisible by another number without performing the actual division. For 10, the rule is exceptionally straightforward:
- The Ones Digit Test: If the last digit (the ones place) of a number is 0, then the entire number is divisible by 10.
This is because 10 is a multiple of both 2 and 5. A number divisible by 10 must be divisible by both 2 (even number) and 5 (ends in 0 or 5). Therefore, the number must end in 0 to satisfy both conditions.
Examples
Let's illustrate with a few examples:
- 328,890: This number ends in 0, therefore it is divisible by 10. (328,890 / 10 = 32,889)
- 123,456: This number does not end in 0, so it is not divisible by 10. (123,456 / 10 = 12,345.6)
- 1,000,000: This number ends in 0 and is clearly divisible by 10. (1,000,000 / 10 = 100,000)
As confirmed by various resources like Math with Mr. J's YouTube video on divisibility rules, and numerous online sources including Byju's explanation of divisibility rules, the divisibility rule for 10 is consistent: a number is divisible by 10 only if its last digit is 0. This makes it a very easy rule to apply.
