Question: What Are The Factors Of 216?

What is the prime factor of 216?

The prime factor of the 216 is 23 x 33.

The exponents in the prime factorisation are 3 and 3.

Add the number 1 with the exponents and multiply it.

(3+1)(3+1) = 4 x 4 = 16..

IS 216 a perfect cube?

Answer. Answer: 216 is perfect Cube.

What is the factor of 216 and 215?

The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108 and 216. The factors of 215 are 1, 5, 43 and 215. So, the Greatest Common Factor for these numbers is 1 because it divides all them without a remainder.

What Cubed is 216?

6 inchesThe cube root of 216 is 6. This means that each side of your box is 6 inches long.

What is the smallest number that will divide into 216 to get a perfect square?

So, the product of the these remaining prime factors is the required answer . i.e., 2 × 3 = 6. Therefore, 36 is the perfect square . ✔✔ Hence, 6 is the smallest number ✅✅.

What is Coprime number?

In number theory, two integers a and b are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1. … A set of integers can also be called coprime if its elements share no common positive factor except 1.

What two numbers give you 216?

For your convenience, we have made a list of all the combinations of two numbers multiplied by each other that will make 216: x 216 = 216. x 108 = 216. x 72 = 216. x 54 = 216.

What is the biggest perfect square that divides into 216?

Let’s write this product of factorials out in its prime factorization: 216 × 37 × 53 × 71. Since we want perfect square factors, we are looking for pairs of primes. The highest perfect square factor is 216 × 36 × 52 = (28 × 33 × 51)2.

Is 216 and 215 a Coprime number?

Which of the following numbers are co-prime: (a) 18 and 35 (b) 15 and 37 (c) 30 and 415 (d) 17 and 168 (e) 216 and 215 (f) 81 and 16. Answer: … Since both have only one common factor, i.e., 1, therefore, they are co-prime numbers.

What are the prime factors of 144?

So, the prime factors are written as 2 x 2 x 2 x 2 × 3 x 3 or 24 x 32, where 2 and 3 are the prime numbers. It is possible to find the exact number of factors of a number 144 with the help of prime factorisation. The prime factor of the 144 is 24 x 32.

What are the common factors of 81?

81 is a composite number and is 9 squared. 81 = 1 x 81, 3 x 27, or 9 x 9. Factors of 81: 1, 3, 9, 27, 81. Prime factorization: 81 = 3 x 3 x 3 x 3 which can also be written 3⁴.

What are all the factors of 215?

The factors of 215 are the numbers, that produce the result as 215 when the pair of factors are multiplied together. These factors are 1, 5, 43 and 215.

What are the factors for 180?

Factors of 180 in 2 pairs1 × 180 = 180.2 × 90 = 180.3 × 60 = 180.4 × 45 = 180.5 × 36 = 180.6 × 30 = 180.9 × 20 = 180.10 × 18 = 180.More items…•

What are the factors of 217?

217 and Level 5217 is a composite number.Prime factorization: 217 = 7 x 31.The exponents in the prime factorization are 1 and 1. … Factors of 217: 1, 7, 31, 217.Factor pairs: 217 = 1 x 217 or 7 x 31.Since 217 has no square factors, its square root cannot be simplified.

What are factors of 90?

Therefore, the pair factors of 90 are (1, 90), (2, 45), (3, 30), (5, 18), (6, 15) and (9, 10).

What are the factors of 415?

So the factors of 415 are 1, 5, 83, 415.

Is 15 and 37 Coprime?

Factors of 15 are 1, 3, 5 and 15. Factors of 37 are 1 and 37. Therefore, 1 is the only common factor of 15 and 37 which means that 15 and 37 are co-prime.

What is the factor of 30?

The factors of number 30 as we discussed are 1,2,3,5,6,10, 15 and 30.