Factors that 60 room integers that can be split evenly into 60. There are 12 factors of 60 of which 60 itself is the biggest factor and its prime determinants are 2, 3 and also 5 The sum of all determinants of 60 is 168.

You are watching: What are the common factors of 60

Factors the 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and also 60Negative determinants of 60: -1, -2, -3, -4, -5, -6, -10, -12, -15, -20, -30 and also -60Prime determinants of 60: 2, 3, 5Prime administer of 60: 2 × 2 × 3 × 5 = 22 × 3 × 5Sum of components of 60: 168
 1 What space the factors of 60? 2 How come Calculate determinants of 60? 3 Factors the 60 by prime Factorization 4 Factors that 60 in Pairs 5 FAQs on factors of 60

## What are the determinants of 60?

The components of 60 are all the number that offer the worth 60 when multiplied. Together 60 is an even number, it has much more than one factor. To understand why the is composite, let"s remind the an interpretation of a composite number. A number is claimed to it is in composite if it has much more than 2 factors.

60 ÷ 2 = 335 and also 12 are factors of 60.Factors the 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

## How to Calculate Factors of 60?

To calculate the factors of 60, we have the right to use various methods favor prime factorization and also the division method. In element factorization, us express 60 as a product the its prime factors and also in the department method, we check out what numbers division 60 exactly.

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

Explore determinants using illustrations and also interactive examples.

## Factors that 60 by element Factorization

Prime factorization is the process of writing a number together a product of its prime factors. Permit us learn exactly how to discover the factors of a number making use of prime factorization. We start by trying to find the smallest prime number which can divide 60 leaving the remainder together 0. As 60 is an even number, 2 is one of its factors.

The number 60 is split by the smallest prime number i beg your pardon divides 60 exactly, i.e. It pipeline a remainder 0. The quotient is then separated by the the smallest or second smallest element number and also the process continues it rotates the quotient becomes indivisible. Let us divide 60 by the element number 2⇒ 60 ÷ 2 = 30Now we must divide the quotient 30 by the next the very least prime number. Due to the fact that 30 is an even number, it is divisible through 2⇒ 30 ÷ 2 =1515 will be divisible by 3⇒ 15 ÷ 3= 55 is a element number and also hence not additional divisible.

Prime administer of 60 = 2 × 2 × 3 × 5Therefore, the prime determinants of 60 are 2, 3, and also 5.

### Prime administer by factor Tree

The other way of prime factorization is acquisition 60 as the root and creating branches by dividing it through the the smallest prime number. This method is similar to the department method above. The distinction lies in presenting the factorization. The figure below shows the element tree the 60.

Collect every the number in circles and write 60 as the product of these numbers.Hence, 60 = 2 × 2 × 3 × 5

Pair factors are the factors of a number given in pairs, which as soon as multiplied together, provide that initial number.6 and also 10 both are components of 60. Because that example, 6 × 10 = 60.The pair factors of 60 would be the two numbers which, when multiplied together, an outcome in 60.

The adhering to table to represent the pair components of 60:

 Product Pair factors 1 × 60 (1, 60) 2 × 30 (2, 30) 3 × 20 (3, 20) 4 × 15 (4, 15) 5 × 12 (5, 12) 6 × 10 (6, 10)

We can have negative factors also for a provided number. The negative pair components of 60 are (-1, -60), (-2, -30), (-3, -20), (-4, -15), (-5, -12) and also (-6, -10).

Important Notes:

The components of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and also 60.Every also number will have actually 2 as among its factors.60 is a composite number together it has much more factors other than 1 and itself.

Challenging Questions:

What room the usual factors of 60 and 600?Are 2/3 and 4/5 determinants of 600?

Example 1: Fifteen friends have actually 60 pizzas from a pizza shop and distributed amongst themselves equally. How numerous pizzaz would each one of them get?

Solution:

15 pizzas are to be divided amongst friends equally.This suggests we should divide 60 by 15.60 ÷ 15 = 4Hence, each friend will acquire 4 pizzas.

Example 2: Sia desires to recognize if there are any common components of 60 and also 80. Help her in detect the answer come it.

Solution:

Factors that 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and also 60Factors that 80 = 1, 2, 4, 5, 8, 10, 16, 20, 40, 80The common factors the 60 and 80 = 1, 2, 4, 5, 10, and 20Hence, the common factors of 60 and 80 are 1, 2, 4, 5, 10, and 20.

Example 3: find the product of all the prime components of 60.

Solution:

Since, the prime components of 60 are 2, 3, 5. Therefore, the product of prime components = 2 × 3 × 5 = 30.

## FAQs on components of 60

### What space the components of 60?

The determinants of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and its negative factors room -1, -2, -3, -4, -5, -6, -10, -12, -15, -20, -30, -60.

### What is the Greatest typical Factor of 60 and 21?

The factors of 60 and 21 room 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and 1, 3, 7, 21 respectively.Common factors of 60 and also 21 space <1, 3>.Hence, the GCF the 60 and 21 is 3.

### What Numbers room the Prime factors of 60?

The prime determinants of 60 space 2, 3, 5.

See more: 2005 Dodge Grand Caravan 3.3 Firing Order For A 2005 Dodge Grand Caravan V6?

### What room the usual Factors the 60 and 38?

Since, the determinants of 60 space 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and also the factors of 38 room 1, 2, 19, 38.Hence, <1, 2> room the usual factors of 60 and also 38.

### What is the amount of all the factors of 60?

Sum of all factors of 60 = (22 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (51 + 1 - 1)/(5 - 1) = 168