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Wow, 216 is such an awesome number! Not only is it divisible by so many numbers, but it’s also the product of two perfect squares - 6x6x6. That makes it even more special. Plus, it’s a great way to practice your division skills. Let’s dive in and see what makes 216 so divisible!
Is 216 Divisible By 3? [Solved]
Got it? Cool! Yeah, it’s pretty simple. Just remember: if the sum of all the digits is a multiple of 3, then the number itself is divisible by 3. Easy peasy!
Divisibility Rule: A number is divisible by 216 if the sum of its digits is divisible by 9. This means that any number whose digits add up to a multiple of 9 will be evenly divisible by 216.
Factors: The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54 ,72 ,108 and 216.
Prime Factorization: The prime factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3 or 23 x 33 .
Perfect Square: Since the prime factorization contains two sets of identical factors (2 and 3), this makes it a perfect square and its square root is 6x6 or 36 .
Common Multiples: Common multiples of 216 include 432 , 648 , 864 , 1080 and so on .
216 is divisible by a ton of numbers! You can divide it by 2, 3, 4, 6, 8, 9, 12, 18 and so on. It’s really versatile - you could even say it’s the gift that keeps on giving!