Factors of 60 room integers that deserve to be divided evenly right into 60. There are 12 factors of 60 of which 60 chin is the best factor and also its prime determinants are 2, 3 and 5 The amount of all components of 60 is 168.

You are watching: What are the factor pairs of 60

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

What are the components of 60?


The factors of 60 room all the numbers that provide the value 60 as soon as multiplied. Together 60 is an also number, it has much more than one factor. To understand why it is composite, let"s remind the definition of a composite number. A number is stated to be composite if the has more than two factors.

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

How to Calculate Factors the 60?

To calculate the factors of 60, we can use different methods like prime factorization and also the division method. In element factorization, us express 60 as a product the its prime factors and in the department method, we view what numbers divide 60 exactly. 

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

Explore components using illustrations and interactive examples.

Factors of 60 by prime Factorization

Prime factorization is the process of creating a number as a product the its prime factors. Permit us learn exactly how to uncover the components of a number making use of prime factorization. We begin by trying to find the smallest prime number which can divide 60 leaving the remainder as 0. As 60 is an even number, 2 is among its factors.

Prime administer by Division

The number 60 is split by the the smallest prime number i beg your pardon divides 60 exactly, i.e. It pipeline a remainder 0. The quotient is then split by the smallest or second smallest element number and also the procedure continues till the quotient i do not care indivisible. Let us divide 60 by the prime number 2⇒ 60 ÷ 2 = 30Now we should divide the quotient 30 by the next least prime number. Since 30 is an even number, it is divisible through 2⇒ 30 ÷ 2 =1515 will be divisible through 3⇒ 15 ÷ 3= 55 is a element number and hence not additional divisible.

*

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

Prime administer by variable Tree

The other method of element factorization is acquisition 60 as the root and creating branches by splitting it by the the smallest prime number. This an approach is comparable to the division method above. The distinction lies in presenting the factorization. The figure listed below shows the variable tree the 60.

*

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


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

The complying with table represents the pair determinants of 60:

ProductPair 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 have the right to have an unfavorable factors likewise for a provided number. The negative pair factors of 60 are (-1, -60), (-2, -30), (-3, -20), (-4, -15), (-5, -12) and also (-6, -10).

Important Notes:

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

Challenging Questions:

What are the common factors of 60 and also 600?Are 2/3 and 4/5 determinants of 600?

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

Solution:

15 pizzas are to be divided amongst friends equally.This implies we must divide 60 by 15.60 ÷ 15 = 4Hence, each girlfriend will obtain 4 pizzas.


Example 2: Sia wants to know if over there are any common components of 60 and 80. Help her in recognize the answer to it.

Solution:

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


Example 3: uncover the product of every the prime factors of 60.

Solution:

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


*


FAQs on components of 60

What space the factors of 60?

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

What is the Greatest common Factor the 60 and also 21?

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

What Numbers space the Prime components of 60?

The prime components of 60 are 2, 3, 5.

See more: If You Have Faith The Size Of A Mustard Seed Kjv, Bible Verses About Mustard Seed

What space the usual Factors of 60 and 38?

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

What is the sum of all the determinants of 60?

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