Factors that 60 space integers that can be separated evenly into 60. There space 12 factors of 60 of i m sorry 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 of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and also 60Negative components of 60: -1, -2, -3, -4, -5, -6, -10, -12, -15, -20, -30 and -60Prime determinants of 60: 2, 3, 5Prime administrate of 60: 2 × 2 × 3 × 5 = 22 × 3 × 5Sum of determinants of 60: 168
1.What space the determinants of 60?
2.How to Calculate factors of 60?
3.Factors that 60 by element Factorization
4.Factors that 60 in Pairs
5.FAQs on components of 60

What space the components of 60?


The components of 60 room all the number that provide the worth 60 as soon as multiplied. Together 60 is an even number, it has much more than one factor. To know why it is composite, let"s remind the meaning of a composite number. A number is stated to be composite if that has more than 2 factors.

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

How come Calculate Factors of 60?

To calculate the determinants of 60, we have the right to use various methods prefer prime factorization and also the department method. In element factorization, we express 60 as a product that its element factors and in the department method, we see 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 interactive examples.

Factors of 60 by element Factorization

Prime factorization is the process of creating a number as a product that its element factors. Let us learn just how to find the factors of a number utilizing prime factorization. We begin by looking for the smallest prime number which have the right to divide 60 leaving the remainder together 0. As 60 is an even number, 2 is one of its factors.

Prime administer by Division

The number 60 is separated by the smallest prime number which divides 60 exactly, i.e. It leaves a remainder 0. The quotient is then split by the smallest or second smallest prime number and the procedure continues till the quotient becomes indivisible. Let united state divide 60 by the prime number 2⇒ 60 ÷ 2 = 30Now we should divide the quotient 30 by the next the very least prime number. Due to the fact that 30 is an even number, that is divisible by 2⇒ 30 ÷ 2 =1515 will be divisible by 3⇒ 15 ÷ 3= 55 is a element number and hence not further divisible.

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

Prime administer by element Tree

The other method of prime factorization is taking 60 as the root and creating branches by separating it by the 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 every the numbers in circles and also write 60 as the product of this numbers.Hence, 60 = 2 × 2 × 3 × 5


Pair factors are the components of a number offered in pairs, which as soon as multiplied together, provide that original number.6 and also 10 both are determinants of 60. For 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 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 negative factors also for a provided 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 60.Every also number will have 2 as among its factors.60 is a composite number together it has more factors various other than 1 and itself.

Challenging Questions:

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

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

Solution:

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


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

Solution:

Factors of 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 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 also 20.


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

Solution:

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


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FAQs on determinants of 60

What room the components of 60?

The factors of 60 space 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 usual Factor of 60 and also 21?

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

What Numbers space the Prime determinants of 60?

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

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What are the usual Factors of 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 are 1, 2, 19, 38.Hence, <1, 2> are the typical factors that 60 and 38.

What is the amount of all the determinants of 60?

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