Factors that 60 space integers that deserve to be divided evenly into 60. There are 12 components of 60 of which 60 itself is the biggest factor and also its prime determinants are 2, 3 and also 5 The sum of all components of 60 is 168.

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

What room the components of 60?


The components of 60 are all the numbers that give the worth 60 when multiplied. As 60 is an even number, it has more than one factor. To understand why it is composite, let"s recall the meaning of a composite number. A number is stated to it is in composite if that has an ext than 2 factors.

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

How come Calculate Factors that 60?

To calculate the determinants of 60, we deserve to use various methods like prime factorization and the department method. In prime factorization, us express 60 together a product that its element factors and in the department method, we view what numbers division 60 exactly. 

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

Explore factors using illustrations and also interactive examples.

Factors that 60 by prime Factorization

Prime factorization is the procedure of writing a number together a product that its element factors. Allow us learn just how to find the components of a number using prime factorization. We start by trying to find the the smallest prime number which deserve to divide 60 leaving the remainder as 0. As 60 is an also number, 2 is one of its factors.

Prime administer by Division

The number 60 is split by the smallest prime number i beg your pardon divides 60 exactly, i.e. It leaves a remainder 0. The quotient is then split by the smallest or 2nd smallest prime number and the procedure continues it rotates the quotient becomes indivisible. Let united state divide 60 by the prime number 2⇒ 60 ÷ 2 = 30Now we must divide the quotient 30 by the next least prime number. Because 30 is an even number, that is divisible by 2⇒ 30 ÷ 2 =1515 will be divisible by 3⇒ 15 ÷ 3= 55 is a prime number and also hence not further divisible.

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

Prime factorization by element Tree

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

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


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

The following 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 deserve to have an adverse factors also for a offered number. The negative pair determinants 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 also 60.Every even number will have 2 as one of its factors.60 is a composite number together it has more factors other than 1 and itself.

Challenging Questions:

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

Example 1: Fifteen friends have actually 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 be divided amongst friends equally.This suggests we must divide 60 by 15.60 ÷ 15 = 4Hence, each girlfriend will acquire 4 pizzas.


Example 2: Sia wants to recognize if over there are any kind of common factors of 60 and also 80. Help her in finding the answer come it.

Solution:

Factors the 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60Factors that 80 = 1, 2, 4, 5, 8, 10, 16, 20, 40, 80The typical factors that 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: discover the product of every the prime determinants of 60.

Solution:

Since, the prime factors of 60 space 2, 3, 5. Therefore, the product of prime determinants = 2 × 3 × 5 = 30.


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FAQs on components of 60

What room the determinants of 60?

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

What is the Greatest usual 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 also 1, 3, 7, 21 respectively.Common components of 60 and also 21 room <1, 3>.Hence, the GCF the 60 and also 21 is 3.

What Numbers are the Prime components of 60?

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

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What are the common Factors that 60 and also 38?

Since, the components of 60 room 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 typical factors that 60 and 38.

What is the sum of every the factors of 60?

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