components of 231 room the list of integers that us can separation evenly into 231. Over there are full 8 determinants of 231 i.e. 1, 3, 7, 11, 21, 33, 77, 231. The Prime factors of 231 are 3 × 7 × 11 and also its factors in Pairs room (1, 231), (3, 77), (7, 33), (11, 21).

You are watching: What is the prime factorization of 231

All determinants of 231: 1, 3, 7, 11, 21, 33, 77 and also 231 Negative determinants of 231: -1, -3, -7, -11, -21, -33, -77 and also -231 Prime components of 231: 3, 7, 11 Prime administer of 231: 31 × 71 × 111 Sum of factors of 231: 384
1.What room the determinants of 231?
2.Factors of 231 by element Factorization
3.Factors that 231 in Pairs
4.FAQs on determinants of 231
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What are factors of 231?


Factors that 231 space pairs of those numbers who products an outcome in 231. These components are either element numbers or composite numbers.

How to find the components of 231?

To discover the components of 231, we will have to uncover the list of numbers that would divide 231 without leaving any remainder.

231/231 = 1; therefore, 231 is a aspect of 231.231/77 = 3; therefore, 77 is a element of 231. Similarly we can discover other factors. Hence, the determinants of 231 space 1, 3, 7, 11, 21, 33, 77, 231.

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factors of 231 by element Factorization


The number 231 is composite and also therefore that will have actually prime factors. Now let united state learn how to calculate the prime factors of 231. The very first step is to divide the number 231 v the smallest prime factor, right here it is 3. Us keep splitting until it gives a non-zero remainder. 231 ÷ 3 = 77

Further separating 77 by 3 gives a non-zero remainder. Therefore we stop the procedure and proceed dividing the number 77 by the next smallest element factor. Us stop at some point if the following prime element doesn"t exist or once we can"t divide any further.

So, the prime factorization that 231 deserve to be composed as 31 × 71 × 111 whereby 3, 7, 11 room prime.


Factors the 231 in Pairs


Pair determinants of 231 room the bag of number that as soon as multiplied give the product 231. The factors of 231 in pairs are:

1 × 231 = (1, 231) 3 × 77 = (3, 77) 7 × 33 = (7, 33) 11 × 21 = (11, 21)

Negative pair determinants of 231 are:

-1 × -231 = (-1, -231) -3 × -77 = (-3, -77) -7 × -33 = (-7, -33) -11 × -21 = (-11, -21)

NOTE: If (a, b) is a pair variable of a number then (b, a) is likewise a pair element of the number.


Factors that 231 resolved Examples


Example 1: How plenty of factors are there because that 231?

Solution:

The factors of 231 space 1, 3, 7, 11, 21, 33, 77, 231. Therefore, 231 has actually 8 factors.


instance 3: discover if 1, 3, 7, 51 and also 77 are components of 231.

Solution:

once we divide 231 by 51 it pipeline a remainder. Therefore, the number 51 is not a variable of 231. All numbers except 51 are components of 231.


example 4: discover the product of all the prime components of 231.

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Solution:

Since, the prime determinants of 231 space 3, 7, 11. Therefore, the product that prime determinants = 3 × 7 × 11 = 231.


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FAQs on components of 231


What room the factors of 231?

The factors of 231 room 1, 3, 7, 11, 21, 33, 77, 231 and also its an adverse factors room -1, -3, -7, -11, -21, -33, -77, -231.

What is the sum of determinants of 231?

sum of all factors of 231 = (31 + 1 - 1)/(3 - 1) × (71 + 1 - 1)/(7 - 1) × (111 + 1 - 1)/(11 - 1) = 384

What numbers room the Pair factors of 231?

The pair determinants of 231 are (1, 231), (3, 77), (7, 33), (11, 21).

What is the Greatest typical Factor of 231 and also 31?

The factors of 231 space 1, 3, 7, 11, 21, 33, 77, 231 and also the components of 31 are 1, 31. 231 and also 31 have actually only one typical factor i beg your pardon is 1. This means that 231 and 31 are co-prime. Hence, the Greatest typical Factor (GCF) that 231 and also 31 is 1.

What are the usual Factors the 231 and 44?

Since, the factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231 and the components of 44 room 1, 2, 4, 11, 22, 44. Hence, <1, 11> room the common factors the 231 and also 44.