Factors of 120 room the numbers, which gives the an outcome as 120 when multiplied with each other in a pair. There are plenty of factors that are generally used in mathematical calculations together as determinants of 56, 90, etc. Prime factors of number 120 basically give out prime numbers. To find the factors of a number, 120, us will usage the division method. Here we will uncover the factors in pair, total factors and the prime factorization that 120.

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Table that Contents:

What are the components of 120?

The components of 120 space the numbers that divide the number 120 exactly without leaving any type of remainder. In various other words, the number which top top multiplication in pairs resulting in the original number 120, are referred to as the determinants of 120. Together 120 is a composite number, it has an ext than two factors. The factors of 120 room 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120.


Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and also 120

Prime factorization of 120: 23×3×5


Pair determinants of 120

We can discover the pair components of a number 120, by multiplying 2 numbers in a pair to acquire the original number. The pair determinants of 120 deserve to be confident or negative. The complying with are the optimistic and negative pair factors of 120.


Positive components of 120Positive 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)

Likewise, the negative pair factors of 120 are:


Negative determinants of 120Negative 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)

Prime factorization of 120

120 is a composite number. Currently let us discover the prime components of 120.

The very first step is to divide the number 120 v the smallest prime factor, i.e. 2 and continue separating by 2 till you get a fraction.

120 ÷ 2 = 60

60 ÷ 2 = 30

30 ÷ 2 = 15

15 ÷ 2 = 7.5; 7.5 cannot be a factor

Now, proceed to the next prime numbers, i.e. 3 and continue splitting till you gain a fraction or 1.

15 ÷ 3 = 5

5 ÷ 3 = 1.66; can not be a factor

Therefore, relocating to the following prime number, 5.

5 ÷ 5 = 1

We have received 1 in ~ the finish of the department process and also further, we cannot proceed. So, the prime components of 120 are 2 × 2 × 2 × 3 × 5 or 23 × 3 × 5, where 2, 3 and also 5 space the prime numbers.


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Examples

Example1:

Find the typical factors that 120 and also 121.

Solution:

The factors of 120 room 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120.

The factors of 121 space 1, 11 and also 121.

Therefore, the usual factor that 120 and also 121 is 1.

Example 2:

Find the typical factors the 120 and also 119.

Solution:

Factors the 120 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120

Factors of 119 = 1, 7, 17, 119.

Therefore, the usual factor the 120 and 119 is 1.

Example 3:

Find the usual factors the 120 and also 60.

Solution:

The determinants of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and also 120

The components of 60 room 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

Hence, the usual factors of 120 and also 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and also 60.

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Frequently Asked concerns on factors of 120


What space the factors of 120?


The determinants of 120 room the numbers which room multiplied in pairs, leading to the original number 120. The components of 120 space 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and also 120.


What is the element factorization that 120?


The prime factorization that 120 is 2 × 2 × 2 × 3 × 5 or 23 × 3 × 5.


What are the confident pair components of 120?


The positive pair components of 120 are (1, 120), (2, 60), (3, 40), (4, 30), (5, 24), (6, 20), (8, 15), and also (10, 12).


Write down the an adverse pair determinants of 120?


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

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Is 60 a aspect of 120?


Yes, 60 is a variable of 120. As the number 60 divides 120 exactly without leaving any remainder, 60 is a aspect of 120.


Quiz on factors of 120
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