Factors of 120 space numbers that, when multiplied in pairs give the product as 120. Over there are overall 16 components of 120, of which 2, 3 and also 5 space its element factors. The element Factorization that 120 is 23 × 3 × 5.

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

What room the components of 120?


The determinants of 120 are integers that divide 120without any kind of remainder. For example,10 is a factor of 120 because 10 divides 120 without any kind of remainder.Interestingly, 12, i m sorry is the quotient that the over division, is likewise a aspect of 120. Examine whether you obtain 0 as the remainder by separating 120 by 12 using long division.


How to calculate the components of 120?


The actions to discover the factors of any number:

Divide the number by 2and get one more number.If the result number is no an integer, climate round it to the nearest integer.Divide the offered number by each of the number from 1 come the resultant number (from step 1) and also see which of them outcomes in the remainder 0.We divide only by these numbers as any type of number that is better than half of a given number can not be that factor.The divisor ofeach such department (with remainder 0) is the variable of that number.Also, the offered number is additionally a factor 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 room not integers cannot be the determinants of any type of numberWhen a number is a factor of the given number, then its additive inverse is additionally a variable of the offered number.For example, because 8 is a aspect of 120, -8 is additionally a element of 120.

Factors the 120 By element Factorization


Let us uncover the prime factorization that 120 by to express it as the product of prime numbers.

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

To understandthe principle of finding determinants by prime factorization better, let us take a few more examples.


Tips and also Tricks


While detect the factors of a number store the following in mind:

1 and the number chin are constantly the determinants of a number.To discover the other determinants of the number, we very first find its element factorization. Then,the multiplicands that the element factorization room the prime factors of the number.By multiplying part or all multiplicands in various combinations, we get the composite determinants of the number.

Factors that 120 in Pairs


The pair components of 120 are derived by writing 120 together a product of two numbers in all feasible ways. In each product, both multiplicands space the components of 120.

Product that results in 120

Pair components 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 negative pair factors of 120 are (-1,-120), (-2,-60), (-3,-40), (-4,-30), (-5,-24), (-6,-20), (-8,-15), and (-10,-12).


Factors the 120 solved Examples


Example 1: Andy has to discover the highest common factors the 120 and also 60. Assist her uncover 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 usual factor that 120 and also 60 is 60


Example 2 Smith has to write all the pair determinants of 120 whose sum lies between 60 and also 70. Help him to uncover 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 amount pair aspect of 120 whose amount lies in between 60 and 70 is (2, 60).


Example 3: discover the product of every the prime determinants of 120.

Solution:

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


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FAQs on components of 120

What room the determinants of 120?

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

What are the Prime determinants of 120?

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

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How numerous Factors the 120 are additionally Common come the factors of 65?

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