What Are The Factors Of 120: Prime Factors Of 120

What Are The Factors Of 120: Prime Factors Of 120

Below I have given all the list about the factors of 120. In this article, you will be able to find information about the Prime factors for 120, factors for 120, pair factors for 120, and the factors of other numbers as well. One by one I am going to explain in a very simple format. To know more about what are all the factors of 120 keep reading. So Below is the list of all factors of 120.

What Are The Factors Of 120

The factors of 120 are the number that divides the number without leaving any remainder. Let’s see its mathematical explanation.

  • 1(120➗1=120)
  • 2(120➗2=60)
  • 3(120➗3=40)
  • 4(120➗4=30)
  • 5(120➗5=24)
  • 6(120➗6=20)
  • 8(120➗8=15)
  • 10(120➗10=12)
  • 12(120➗12=12)
  • 15(120➗15=8)

Continue in the same manner…upto 120 x 1 = 120

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and120 are the factors for 120.

Prime Factors Of 120

Now Here for the calculation of Prime factors of 120, you should know the prime numbers up to 120. After that, we have to divide 120 with all prime numbers. Those results come without the decimal, that prime numbers will be the Prime Factors for 120. We are going to calculate the prime factors by factorization of the 120 methods.

  • 120➗2 = 6
  • 120➗3 = 21
  • 120➗5 = 24
  • 120➗7 = 9
  • 120➗11 =10.90 
  • 120➗13 = 4.84 
  • 120➗17 = 3.70
  • 120➗19 = 3.31
  • 120➗23 = 2.73
  • 120➗29 = 2.17

Continue with same manner… upto prime numbers upto 120 

So the prime factors for the number 120 are 2, 3, 5.

Factors Of 120 In Pairs

The product of the numbers whose result will be 120, that numbers are nothing but the factors of 120 pairs.

  • 1 x 120 = 120
  • 2 x 60 = 120
  • 3 x 40= 120
  • 4 x 30 =120
  • 5 x 24 = 120
  • 6 x 20 = 120
  • 8 x 15 = 120
  • 10 x 12 = 120
  • 12 x 10 = 120
  • 15 x 8 = 120

Continue with same manner… 120 x 1 = 120

So the pair factors for 120 are 20, 24, 30, 40, 60, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 120.

Factors Of -120

The negative numbers of factors of 120 are called as factors of -120.

Below You can see the numbers.

  • -1(-120➗-1=-120)
  • -2(-120➗-2=-60)
  • -3(-120➗-3=-40)
  • -4(-120➗-4=-30)
  • -5(-120➗-5=-24)
  • -6(-120➗-6=-20)
  • -8(-120➗-8=-15)
  • -10(-120➗-10=-12)
  • -12(-120➗-12=-10)
  • -15(-120➗-15=-8)
  • -20(-120➗-20=-6)
  • -24(-120➗-24=-5)
  • -30(-120➗-30=-4)
  • -40(-120➗-40=-3)
  • -60(-120➗-60=-2)
  • -120(-120-➗-120=-1)

The foctors for -120 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -20, -24, -30, -40, -60, and -120

Factors Of 120 And Other Numbers

Below is the list of common factors of 120 and other numbers.

The Factors For 120 And 144

The factors for 120 and 144 are 1, 2, 6, 8, 12, 24

  • 120 factors = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120
  • 144 factors = 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144. 

HCF of 120 and 144  = 1, 2, 6, 8, 12, 24

The Factors Of 120 And 150

The factors for 120 and 150 are 1, 2, 5 , 6, 10, 30, 40, 45, 60

  • 120 factors = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120
  • 150 factors = 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150

HCF of  120 and 150 = 1, 2, 5 , 6, 10, 30, 40, 45, 60

The Factors Of 120 And 180

The factors of 120 and 180 are 1, 2,3, 4, 5, 6, 10, 12, 15, 20, 30, 60  

  • 120 factors  = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120
  • 180 factors = 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90 and 180. 

HCF of  120 and 180 = 1, 2, 4, 5, 6, 10, 12, 15, 20, 30, 60 

Factors Of 120 That Add Upto 23

The factor for 120 that adds upto 23 is 8 and 15

8×15 = 120

8+15 = 23

Factors Of 120 That Add Upto 26

The factor for 120 that adds upto 26 is 6 and 20

6×20 = 120

6+20 = 26

All factors for the numbers can be seen here on Factorsweb

FAQ

What Is The Factors Of 120?

All factors of 120 include 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120. All of the different pair combinations from these factors of 120 are called the factor pairs of 120.

How Can You Use The Prime Factors Of 120 To Determine All The Factors Of 120?

The prime factors of 120 are 2, 3, 5. The prime factors of a number are those factors that are prime numbers. In this case, if we do the prime factorization of 120, we get 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5, where 2, 3, and 5 are prime numbers and the prime factors of 120.

What Are The Multiples Of 120?

So, the first 10 multiples of 120 are: 120, 240, 360, 480, 600, 720, 840, 960, 1080 and 1200.

How Many Ways 120 Can Be Written As A Product Of Two Factors?

Example 2: In how many ways you can express 120 as a product of two of its factors? Factors of 120 are 1,2,3,4,5,6,8,10,12,15,18,24,30,40,60,120.

Conclusion

In this article, you have read about what are factors of 120. I have given you detailed information about the all factors of 120. In addition to that, I have also explained the prime factors for 120, factors for 120 in pairs, factors for -120, and factor numbers of 120 with another number. So this was all about the factors of 120.

 

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