Factors the 120 space numbers that, as soon as multiplied in pairs provide the product together 120. There are in its entirety 16 components of 120, of i beg your pardon 2, 3 and also 5 are its prime factors. The element Factorization the 120 is 23 × 3 × 5.

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Factors that 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120Negative factors of 120: -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -20, -24, -30, -40, -60 and also -120Prime factors of 120: 2, 3, 5Prime administer of 120: 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5Sum of determinants of 120: 360
1.What are the determinants of 120?
2.How come Calculate components of 120?
3.Important Notes
4.Factors of 120 by element Factorization
5.Factors the 120 in Pairs
6.Tips and Tricks
7.FAQs on factors of 120

What space the components of 120?


The factors of 120 are integers that divide 120without any kind of remainder. Because that example,10 is a aspect of 120 due to the fact that 10 divides 120 without any remainder.Interestingly, 12, i beg your pardon is the quotient the the over division, is additionally a variable of 120. Inspect whether you get 0 together the remainder by splitting 120 by 12 using long division.


How to calculate the determinants of 120?


The procedures to uncover the factors of any type of number:

Divide the number by 2and get one more number.If the resultant number is no an integer, climate round it come the nearest integer.Divide the provided number by each of the number from 1 to the result number (from step 1) and also see i beg your pardon of them results in the remainder 0.We divide only by these numbers as any type of number that is higher than half of a offered number cannot be its factor.The divisor ofeach such department (with remainder 0) is the factor of that number.Also, the given number is also a aspect of itself.All the components of 120 thatdivide 120 without any remainder are:

120÷ 1 = 120120÷ 2 = 60120÷ 3= 40120÷ 4= 30120÷ 5= 24120÷ 6= 20120 ÷ 8= 15120 ÷ 10= 12


Important Notes


Fractions and also decimals that are not integers cannot be the determinants of any numberWhen a number is a element of the given number, climate its additive inverse is additionally a variable of the given number.For example, due to the fact that 8 is a element of 120, -8 is likewise a aspect of 120.

Factors the 120 By prime Factorization


Let us discover the element factorization the 120 by express it together the product of prime numbers.

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So the element factorization of 120 is23× 3 × 5From the prime factorization the 120, it is clear the 2,3, and also 5are the factorsof 120.In fact, 2, 3and 5are the prime determinants of 120. Also, we recognize that 1 is a factor of every number. Thus,The factors of 120by element factorization space 1, 2, 3, 5, 15, 30, 60, and 120.

To understandthe concept of finding determinants by element factorization better, let united state take a few more examples.


Tips and also Tricks


While finding the factors of a number keep the following in mind:

1 and also the number itself are constantly the components of a number.To find the other components of the number, we an initial find its element factorization. Then,the multiplicands the the element factorization room the prime factors of the number.By multiplying some or every multiplicands in different combinations, we obtain the composite factors of the number.

Factors of 120 in Pairs


The pair components of 120 are obtained by creating 120 as a product of two numbers in all possible ways. In every product, both multiplicands space the components of 120.

Product that outcomes in 120

Pair determinants of 120
1 × 120(1, 120)
2 × 60(2, 60)

3 × 40

(3,40)

4 × 30

(4, 30)

5× 24

(5,24)

6× 20

(6,20)

8× 15

(8,15)

10× 12

(10,12)

The an unfavorable pair factors of 120 room (-1,-120), (-2,-60), (-3,-40), (-4,-30), (-5,-24), (-6,-20), (-8,-15), and (-10,-12).


Factors that 120 solved Examples


Example 1: Andy has actually to uncover the highest common factors of 120 and 60. Assist her discover them.

Solution:

Factors the 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and also 120.The components of 60 are1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and60.Hence, the highest common factor of 120 and also 60 is 60


Example 2 Smith has to write every the pair components of 120 whose sum lies between 60 and also 70. Help him to discover the pair.

Solution:

The pair components of 120 are,(1, 120), (2, 60), (3, 40), (4, 30), (5, 24), (6, 20), (8, 15), (10, 12)The sum pair factor of 120 whose sum lies between 60 and 70 is (2, 60).


Example 3: find the product of all the prime factors of 120.

Solution:

Since, the prime factors of 120 space 2, 3, 5. Therefore, the product of prime determinants = 2 × 3 × 5 = 30.


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FAQs on determinants of 120

What are the factors of 120?

The determinants of 120 space 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 and also its an adverse factors space -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -20, -24, -30, -40, -60, -120.

What is the sum of the factors of 120?

Sum of all determinants of 120 = (23 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (51 + 1 - 1)/(5 - 1) = 360

What is the Greatest typical Factor of 120 and 73?

The determinants of 120 space 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 and also the determinants of 73 space 1, 73. 120 and 73 have only one usual factor i beg your pardon is 1. This means that 120 and also 73 space co-prime.Hence, the Greatest typical Factor (GCF) of 120 and 73 is 1.

What space the Prime factors of 120?

The prime components of 120 space 2, 3, 5.

See more: Number Of Edges On A Cube Have? Faces, Edges And Vertices Of 3D Shapes

How countless Factors that 120 are likewise Common come the components of 65?

Since, the components of 120 space 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 and also the factors of 65 are 1, 5, 13, 65.Hence, <1, 5> space the typical factors the 120 and also 65.