Factors of 14 room integers that deserve to be split evenly into 14. It has a complete of 4 components of i m sorry 14 is the best factor and also the positive factors of 14 room 1, 2, 7, and also 14. The amount of all determinants of 14 is 24 and also its factors in Pairs space (1, 14) and (2, 7).

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Factors the 14: 1, 2, 7 and 14Negative components of 14: -1, -2, -7 and -14Prime components of 14: 2, 7Prime administrate of 14: 2 × 7 = 2 × 7Sum of determinants of 14: 24
1.What space the factors of 14?
2.How to calculate the factors of 14?
3.Factors of 14 by element Factorization
4.Factors of 14 in Pairs
5.Smallest Composite Number

What are the determinants of 14?

The factors the 14 are all the integers that divide 14 there is no leaving any kind of remainder. 14 is one even composite number. To know why that is composite, let united state recall the an interpretation of a composite number. A composite number is an integer that can be divided by another herbal number, except itself and 1, there is no leaving a remainder.

Consider the number 19. It has only two factors which are 1 and 19. As it have the right to only be divided by 1 and 19 completely, it is prime. Let"s take it the example of 24. The determinants of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

Now, let"s find the number that completely division 14. The numbers are 1, 2, 7, and 14.

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Important Notes

1 is the smallest variable of every number. 

14 is a non-perfect square number. Thus, it will have actually an even variety of factors. This property holds because that every non-perfect square number.


How to calculation the factors of 14?

Let"s begin calculating the determinants of 14, starting with the smallest entirety number, i.e. 1. Top top dividing 14 by 1, the remainder is 0. Therefore 1 is the element of 14.The next number is 2. Now, 14÷2 = 7, the remainder is 0. Therefore 2 is the factor of 14.Proceeding in a comparable manner us get, 14÷7 = 2 and 14÷14=1.

Thus, the factors of 14 room 1, 2, 7, and also 14.


Explore determinants using illustrations and interactive examples:

Factors that 14 in Pairs

The pair that numbers that give 14 when multiplied is known as the aspect pairs the 14.

Following space the factors of 14 in pairs.

Product kind of 14Pair factor
1 x 14 = 14(1,14)
2 x 7 = 14(2,7)

Let"s take it a look at the negative pair components of 14. If us consider an adverse integers, then both the number in the pair components have to it is in negative. It is feasible to have an adverse pair factors as well because the product of two an adverse numbers gives a positive number.

Thus, we can have an unfavorable factor pairs of 14 as (-1,-14) and (-2,-7).


Factors the 14 by prime Factorization


Prime factorization way to refer a composite number as the product that its prime factors.

To get the prime factorization of 14, we division it through its the smallest prime factor which is 2.

14/2 = 7

Now, 14 is divided by the remaining prime components 3, 5, 7, 11, and 13.

14 is just divisible by 7 and we get the quotient together 2.

14/7 = 2 

Thus, 14 has actually 2 prime factors.

Now the we have done the element factorization the 14, we deserve to multiply it and get the other factors. Can you shot and uncover out if all the components are extended or not? and also as you could have currently guessed, because that prime numbers, there are no various other factors.


Solved Examples

Example 1: When a teacher asked a question, some students elevated their hands. However instead of increasing one hand, each student increased both your hands. If there are 14 hands in total, how plenty of students raised their hands?

Solution

The variety of hands elevated = 14

To uncover the variety of students who increased their hands, we have to divide 14 by 2 because each student increased both hands.

Number of students = 14/2 = 7

Therefore, 7 students increased their hands.


Example 2: James want to count all the positive and negative factors the 14. Aid him count them. 

Solution

The positive factors of 14 are 1, 2, 7, and also 14.

The negative factors the 14 are -1, -2, -7, and also -14.

Hence, the complete number of factors that 14 is 8.


Example 3: How many factors space there because that 14?

Solution:

The factors of 14 room 1, 2, 7, 14. Therefore, 14 has 4 factors.


Show solution >

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FAQs on factors of 14

What room the components of 14?

The determinants of 14 room 1, 2, 7, 14 and its negative factors space -1, -2, -7, -14.

What is the Greatest usual Factor of 14 and also 10?

The factors of 14 and 10 room 1, 2, 7, 14 and also 1, 2, 5, 10 respectively.Common factors of 14 and 10 room <1, 2>.Hence, the Greatest common Factor (GCF) of 14 and also 10 is 2.

What numbers are the Pair components of 14?

The pair factors of 14 space (1, 14), (2, 7).

What is the amount of the factors of 14?

Since all factors of 14 room 1, 2, 7, 14 therefore, the sum of its components is 1 + 2 + 7 + 14 = 24.

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What space the typical Factors that 14 and 5?

Since the determinants of 14 room 1, 2, 7, 14, and factors that 5 space 1, 5. Hence, 14 and also 5 have actually only one usual factor i m sorry is 1. Therefore, 14 and also 5 are co-prime.