factors of 364 are the list of integers that we can split evenly into 364. There are in its entirety 12 determinants of 364 among which 364 is the biggest factor and also 2, 7, 13 room its element factors. The amount of all determinants of 364 is 784.

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All components of 364: 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182 and 364 Prime factors of 364: 2, 7, 13 Prime administer of 364: 22 × 71 × 131 Sum of components of 364: 784
1.What space the determinants of 364?
2.Factors that 364 by prime Factorization
3.Factors the 364 in Pairs
4.FAQs on components of 364
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What are factors of 364?


Factors the 364 space pairs that those numbers whose products result in 364. These components are either prime numbers or composite numbers.

How to discover the determinants of 364?

To uncover the components of 364, we will have to uncover the list of numbers that would certainly divide 364 there is no leaving any type of remainder.

364/4 = 91; therefore, 4 is a factor of 364 and also 91 is additionally a element of 364.364/182 = 2; therefore, 182 is a element of 364 and 2 is likewise a factor of 364. Likewise we can discover other factors. Hence, the determinants of 364 space 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364.

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factors of 364 by prime Factorization


The number 364 is composite and therefore that will have actually prime factors. Currently let united state learn just how to calculation the prime components of 364. The very first step is to division the number 364 with the smallest prime factor, right here it is 2. We keep splitting until it provides a non-zero remainder. 364 ÷ 2 = 182 182 ÷ 2 = 91

Further separating 91 by 2 provides a non-zero remainder. So we avoid the process and proceed dividing the number 91 through the following smallest element factor. Us stop ultimately if the next prime factor doesn"t exist or once we can"t divide any type of further.

So, the prime factorization the 364 deserve to be created as 22 × 71 × 131 wherein 2, 7, 13 are prime.


Factors that 364 in Pairs


Pair determinants of 364 room the pairs of numbers that when multiplied offer the product 364. The components of 364 in pairs are:

1 × 364 = (1, 364) 2 × 182 = (2, 182) 4 × 91 = (4, 91) 7 × 52 = (7, 52) 13 × 28 = (13, 28) 14 × 26 = (14, 26)

Negative pair determinants of 364 are:

-1 × -364 = (-1, -364) -2 × -182 = (-2, -182) -4 × -91 = (-4, -91) -7 × -52 = (-7, -52) -13 × -28 = (-13, -28) -14 × -26 = (-14, -26)

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


Factors of 364 addressed Examples


Example 1: How countless factors room there because that 364?

Solution:

The factors of 364 are too many, because of this if us can uncover the prime factorization that 364, then the total number of factors have the right to be calculated making use of the formula presented below. If the prime factorization the the number is ax × by × cz wherein a, b, c room prime, then the total number of factors have the right to be given by (x + 1)(y + 1)(z + 1). element Factorization of 364 = 22 × 71 × 131 Therefore, the total number of factors room (2 + 1) × (1 + 1) × (1 + 1) = 3 × 2 × 2 = 12


instance 3: discover if 1, 7, 13, 14, 52, 230 and 364 are components of 364.

Solution:

when we division 364 by 230 it leaves a remainder. Therefore, the number 230 is no a factor of 364. All numbers except 230 are components of 364.


instance 4: find the product of all the prime components of 364.

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Solution:

Since, the prime factors of 364 are 2, 7, 13. Therefore, the product that prime components = 2 × 7 × 13 = 182.


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FAQs on factors of 364


What are the factors of 364?

The determinants of 364 space 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364 and its an adverse factors room -1, -2, -4, -7, -13, -14, -26, -28, -52, -91, -182, -364.

What is the sum of determinants of 364?

sum of all components of 364 = (22 + 1 - 1)/(2 - 1) × (71 + 1 - 1)/(7 - 1) × (131 + 1 - 1)/(13 - 1) = 784

What Numbers are the Prime components of 364?

The prime determinants of 364 are 2, 7, 13.

What is the Greatest typical Factor the 364 and also 36?

The factors of 364 and 36 space 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364 and also 1, 2, 3, 4, 6, 9, 12, 18, 36 respectively. usual factors of 364 and also 36 room <1, 2, 4>. Hence, the Greatest common Factor the 364 and 36 is 4.

How countless Factors of 364 are also common to the factors of 323?

Since, the determinants of 364 room 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364 and factors that 323 space 1, 17, 19, 323. Hence, 364 and also 323 have only one typical factor i beg your pardon is 1. Therefore, 364 and also 323 are co-prime.