Factors the 120 are numbers that, when multiplied in pairs provide the product as 120. There are overall 16 determinants of 120, of i beg your pardon 2, 3 and 5 room its element factors. The prime Factorization that 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 determinants 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 factorization of 120: 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5Sum of factors 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 that 120 in Pairs
6.Tips and Tricks
7.FAQs on factors of 120

What space the determinants of 120?


The factors of 120 are integers that division 120without any remainder. For example,10 is a aspect of 120 due to the fact that 10 divides 120 without any type of remainder.Interestingly, 12, i m sorry is the quotient the the over division, is likewise a variable of 120. Check whether you gain 0 together the remainder by splitting 120 by 12 using lengthy division.


How to calculation the components of 120?


The procedures to discover the factors of any kind of number:

Divide the number by 2and get an additional number.If the result number is no an integer, climate round it to the nearest integer.Divide the provided number by each of the number from 1 come the result number (from step 1) and also see which of them results in the remainder 0.We divide only by these numbers as any type of number the is greater than fifty percent of a provided number cannot be the factor.The divisor ofeach such division (with remainder 0) is the aspect of the number.Also, the offered number is also a factor of itself.All the factors of 120 thatdivide 120 without any kind of remainder are:

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


Important Notes


Fractions and decimals that are not integers cannot be the components of any type of numberWhen a number is a aspect of the provided number, then its additive inverse is also a aspect of the offered number.For example, since 8 is a element of 120, -8 is likewise a aspect of 120.

Factors of 120 By element Factorization


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

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

To understandthe concept of finding components by prime factorization better, let united state take a couple of more examples.


Tips and also Tricks


While finding the components of a number store the complying with in mind:

1 and the number itself are always the components of a number.To discover the other determinants of the number, we first find its element factorization. Then,the multiplicands that the element factorization are the prime factors of the number.By multiplying part or all multiplicands in different combinations, we obtain the composite components of the number.

Factors that 120 in Pairs


The pair factors of 120 are derived by writing 120 together a product of two numbers in all feasible ways. In each product, both multiplicands room the factors 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 an unfavorable pair determinants of 120 room (-1,-120), (-2,-60), (-3,-40), (-4,-30), (-5,-24), (-6,-20), (-8,-15), and also (-10,-12).


Factors of 120 fixed Examples


Example 1: Andy has actually to discover the highest typical factors of 120 and also 60. Help her uncover them.

Solution:

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


Example 2 Smith needs to write all the pair factors of 120 whose amount lies in between 60 and 70. Help him to discover the pair.

Solution:

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


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

Solution:

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


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FAQs on components of 120

What room the determinants of 120?

The components of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 and its an adverse factors room -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 the 120 and 73?

The components of 120 room 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 and the determinants of 73 room 1, 73. 120 and also 73 have only one common factor which is 1. This indicates that 120 and 73 room co-prime.Hence, the Greatest typical Factor (GCF) the 120 and 73 is 1.

What space the Prime determinants of 120?

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

See more: Difference Between Ground Mustard And Mustard Powder, Difference Between Dry Mustard And Ground Mustard

How many Factors of 120 are likewise Common to the components of 65?

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