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

You are watching: Express 120 as a product of its prime factors

Factors the 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 -120Prime determinants of 120: 2, 3, 5Prime administer of 120: 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5Sum of components of 120: 360
1.What room the components of 120?
2.How come Calculate determinants of 120?
3.Important Notes
4.Factors the 120 by prime Factorization
5.Factors of 120 in Pairs
6.Tips and Tricks
7.FAQs on determinants of 120

What space the components of 120?


The factors of 120 room integers that division 120without any type of remainder. For example,10 is a variable of 120 because 10 divides 120 without any remainder.Interestingly, 12, i m sorry is the quotient that the above division, is likewise a variable of 120. Examine whether you acquire 0 together the remainder by separating 120 by 12 using lengthy division.


How to calculate the determinants of 120?


The procedures to uncover the determinants of any number:

Divide the number by 2and get one more number.If the result number is not an integer, climate round it to the nearest integer.Divide the provided number by each of the numbers from 1 come the resultant number (from step 1) and see which of them outcomes in the remainder 0.We divide just by this numbers as any number that is higher than fifty percent of a offered number cannot be its factor.The divisor ofeach such division (with remainder 0) is the variable of that number.Also, the offered number is additionally a variable 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 also decimals that are not integers cannot be the components of any type of numberWhen a number is a factor of the provided number, climate its additive inverse is also a variable of the given number.For example, because 8 is a factor of 120, -8 is additionally a element of 120.

Factors of 120 By prime Factorization


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

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So the element factorization the 120 is23× 3 × 5From the prime factorization of 120, it 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 factor of every number. Thus,The determinants of 120by element factorization are 1, 2, 3, 5, 15, 30, 60, and 120.

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


Tips and also Tricks


While recognize the components of a number keep the adhering to in mind:

1 and the number itself are constantly the determinants of a number.To find 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 every multiplicands in various combinations, we gain the composite components of the number.

Factors that 120 in Pairs


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

Product that outcomes in 120

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


Factors the 120 resolved Examples


Example 1: Andy has to uncover the highest usual factors of 120 and also 60. Aid her uncover them.

Solution:

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


Example 2 Smith needs to write every the pair determinants of 120 whose amount lies between 60 and 70. Aid 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: uncover the product of every the prime factors of 120.

Solution:

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


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FAQs on factors of 120

What room the factors of 120?

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

What is the amount of the components of 120?

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

What is the Greatest common Factor the 120 and also 73?

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

What are the Prime factors of 120?

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

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

Since, the factors 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 also 65.