An amazing fact around the determinants of 216 is the it has 7 single-digit numbers as its factors. These incorporate 1, 2, 3, 4, 6, 8, and 9. Let"s discover to calculation the determinants of 216, prime factors of 216, and factors of 216 in pairs along with solved examples for a far better understanding.

You are watching: What are the factors of 216

Factors the 216: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, and 216Prime administer of 216: 216 = 2 × 2 × 2 × 3 × 3 × 3
1.What space the factors of 216?
2.How to calculate the Factors the 216?
3.Factors that 216 by element Factorization
4.Factors of 216 in Pairs
5.FAQs on determinants of 216

What space the factors of 216?

Factors of a number are the exact divisors of the number leaving the remainder together 0. The factors of 216 are the number that precisely divide 216. Let"s division 216 through a few numbers like 2, 3, and also 4.

You will observe that the number 2, 3, and 4 room the specific divisors of 216. Hence, they are components of 216. Now, let"s divide 216 by 5. 216 divided by 5 gives 43 as the quotient and 1 together the remainder, however it is not entirely divisible by 5. This method that 5 is not an accurate divisor the 216 and also hence, the is not a factor.

How to calculate the components of 216?

Factors the 216 are the number that offer the product as 216 when they space multiplied together.

Can friend think of all such pairs of numbers? Look below to view some determinants of 216.

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Hence, the factors the 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108 and 216.

Explore determinants using illustrations and interactive examples

Factors that 216 by element Factorization

Prime administrate is a way of express a number together the product the its prime factors.

Examples

Follow the procedures given listed below to find the determinants of 216 using prime factorization.

Find the the smallest prime number that divides 216 exactly.Write the result after dividing 216 by the smallest prime in one column.Again uncover the the smallest prime that specifically divides the resultant derived in step 2 and also write the resultant.Repeat action 3 until you with the number 1.

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Did friend observe that we at some point arrive at just one factorization, the is, 216 = 2 × 2 × 2 × 3 × 3 × 3? This is referred to as the element factorization that 216. Now that we have done the element factorization of our number, we have the right to multiply them and also get the other factors. Can you shot and discover out if every the factors are spanned or not?And together you could have already guessed, for prime numbers, there room no other factors.

Factors the 216 in Pairs

Factor pairs are the pairs of number which when multiplied together gives a product the is equal to the initial number. Have the right to you observe the all the products of every pair in the number given below result in 216?

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All these pairs form the factor pairs of 216.

Important Notes:

Factors of 216 are the number that precisely divide 216.The element factorization of 216 is 216 = 2 × 2 × 2 × 3 × 3 × 3.The number 216 has eight factor pairs.

Example 2: Jolly and also Jimmy space playing a game using two dices. They make a two-digit number that transforms up on the faces of the dice. If the two-digit number turning up is either a aspect of 216 or 215, they score a point.

 Round 1Round 2
Jolly6, 33, 4
Jimmy4, 25, 3

The one who finds the most factors in the 2 rounds is the winner. Can you identify who is the winner?

Solution:

Let"s see the factors of 216 and 215.

Factors of 216: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, and 216

Factors that 215: 1, 5, 43, and also 215.

Now, let"s watch the numbers developed by Jolly in both the rounds.

In round 1, Jolly acquired the pair 6 and 3.

The two-digit number she need to go v is 36 i m sorry is a variable of 216. The number 63 is no a factor the 215 nor a factor of 216.

In round 2, Jolly gained the pair 3 and 4.

The two-digit number she must go v is 43 which is a aspect of 215. The number 34 is neither a factor the 215 nor a aspect of 216.

Now, let"s view the numbers formed by Jimmy in both the rounds.

In ring 1, the two-digit number Jimmy should go with is 24 which is a element of 216. The number 42 is no a factor the 215 no one a factor of 216.

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In ring 2, Jimmy obtained the pair 5 and 3. Neither 53 nor 35 is a element of 215 or 216.