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

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Factors of 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 factors of 60: 2, 3, 5Prime administrate of 60: 2 × 2 × 3 × 5 = 22 × 3 × 5Sum of components of 60: 168
1.What space the components of 60?
2.How come Calculate components of 60?
3.Factors the 60 by prime Factorization
4.Factors of 60 in Pairs
5.FAQs on factors of 60

What space the components of 60?


The components of 60 room all the number that give the value 60 once multiplied. As 60 is an even number, it has much more than one factor. To recognize why the is composite, let"s recall the meaning of a composite number. A number is stated to it is in composite if it has an ext than two factors.

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

How come Calculate Factors the 60?

To calculation the components of 60, we have the right to use various methods choose prime factorization and also the department method. In prime factorization, us express 60 together a product that its element factors and in the division method, we see 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 factors using illustrations and interactive examples.

Factors the 60 by prime Factorization

Prime factorization is the procedure of writing a number as a product of its prime factors. Let us learn just how to discover the components of a number utilizing prime factorization. We begin by trying to find the smallest prime number which deserve to divide 60 leaving the remainder together 0. As 60 is an even number, 2 is just one of its factors.

Prime administrate by Division

The number 60 is separated 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 the smallest or second smallest element number and the process continues it rotates the quotient i do not care indivisible. Let united state divide 60 by the element number 2⇒ 60 ÷ 2 = 30Now we must divide the quotient 30 by the next the very least prime number. Since 30 is an even number, it is divisible by 2⇒ 30 ÷ 2 =1515 will be divisible by 3⇒ 15 ÷ 3= 55 is a element number and also hence not further divisible.

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

Prime administer by factor Tree

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

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


Pair determinants are the determinants of a number provided in pairs, which once multiplied together, give that original number.6 and also 10 both are determinants of 60. Because that example, 6 × 10 = 60.The pair determinants of 60 would be the 2 numbers which, once multiplied together, result in 60.

The following table represents the pair factors 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 deserve to have an adverse factors also for a offered number. The negative pair factors of 60 are (-1, -60), (-2, -30), (-3, -20), (-4, -15), (-5, -12) and (-6, -10).

Important Notes:

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

Challenging Questions:

What space the usual factors the 60 and also 600?Are 2/3 and 4/5 factors of 600?

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

Solution:

15 pizzas are to it is in divided among friends equally.This implies we have to divide 60 by 15.60 ÷ 15 = 4Hence, each friend will obtain 4 pizzas.


Example 2: Sia wants to understand if over there are any common determinants of 60 and also 80. Aid her in recognize the answer to it.

Solution:

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


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

Solution:

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


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FAQs on components of 60

What are the components of 60?

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

What is the Greatest typical Factor that 60 and also 21?

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

What Numbers space the Prime determinants of 60?

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

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What space the usual Factors the 60 and 38?

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

What is the sum of all the components of 60?

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