Factors of 120 are the numbers, which gives the result as 120 once multiplied together in a pair. Tbelow are many kind of components that are commonly supplied in mathematical calculations such as factors of 56, 90, and so on. Prime components of number 120 basically give out prime numbers. To uncover the factors of a number, 120, we will usage the department method. Here we will find the determinants in pair, full components and the prime factorization of 120.

You are watching: What is the prime factorization of 120

Table of Contents:

What are the Factors of 120?

The determinants of 120 are the numbers that divide the number 120 specifically without leaving any remainder. In other words, the numbers which on multiplication in pairs leading to the original number 120, are dubbed the factors of 120. As 120 is a composite number, it has actually more than 2 components. The components of 120 are 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 Factors of 120

We have the right to find the pair components of a number 120, by multiplying 2 numbers in a pair to get the original number. The pair determinants of 120 can be positive or negative. The adhering to are the positive and negative pair determinants of 120.


Positive Factors of 120Hopeful 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 components of 120 are:


Negative Factors of 120Negative 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)

Prime Factorization of 120

120 is a compowebsite number. Now let us find the prime determinants of 120.

The initially action is to divide the number 120 with the smallest prime variable, i.e. 2 and also proceed separating by 2 till you acquire a fraction.

120 ÷ 2 = 60

60 ÷ 2 = 30

30 ÷ 2 = 15

15 ÷ 2 = 7.5; 7.5 cannot be a factor

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

15 ÷ 3 = 5

5 ÷ 3 = 1.66; cannot be a factor

Thus, relocating to the next prime number, 5.

5 ÷ 5 = 1

We have got 1 at the end of the division procedure and also further, we cannot proceed. So, the prime factors of 120 are 2 × 2 × 2 × 3 × 5 or 23 × 3 × 5, wright here 2, 3 and 5 are the prime numbers.


Links Related to Factors
Factors of 15Factors of 36
Factors of 48Factors of 18
Factors of 42Factors of 60
Factors of 35Factors of 72
Factors of 84Factors of 50

Examples

Example1:

Find the widespread factors of 120 and also 121.

Solution:

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

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

Because of this, the common aspect of 120 and also 121 is 1.

Example 2:

Find the common determinants of 120 and 119.

Solution:

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

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

As such, the common variable of 120 and also 119 is 1.

Example 3:

Find the widespread components of 120 and also 60.

Solution:

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

The determinants of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and also 60.

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

Discover determinants and prime components in Maths right here through us and also additionally downpack BYJU’S – The Learning App for interenergetic videos.

Frequently Asked Questions on Factors of 120


What are the components of 120?


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


What is the prime factorization of 120?


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


What are the positive 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 (10, 12).


Write down the negative pair determinants of 120?


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

See more: ¡Feliz Dia De Los Muertos! Happy Day Of The Dead In Spanish, Day Of The Dead (Día De Los Muertos)


Is 60 a aspect of 120?


Yes, 60 is a variable of 120. As the number 60 divides 120 specifically without leaving any kind of remainder, 60 is a factor of 120.


Quiz on Factors of 120
Q5

*

CBSE Sample Papers
CBSE Previous Year Inquiry Papers
ICSE Sample Papers
ICSE Previous Year Question Papers
*
Downfill Now
BOOK