Factors the 60 room integers that deserve to be separated evenly into 60. There room 12 factors of 60 of i m sorry 60 chin is the greatest factor and also its prime determinants are 2, 3 and 5 The sum of all factors of 60 is 168.

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Factors the 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 also -60Prime factors of 60: 2, 3, 5Prime factorization of 60: 2 × 2 × 3 × 5 = 22 × 3 × 5Sum of factors of 60: 168
1.What room the components of 60?
2.How come Calculate determinants of 60?
3.Factors that 60 by element Factorization
4.Factors that 60 in Pairs
5.FAQs on determinants of 60

What room the factors of 60?


The factors of 60 room all the numbers that give the worth 60 when multiplied. Together 60 is an even number, it has much more than one factor. To recognize why it is composite, let"s remind the definition of a composite number. A number is said to be composite if that has more than two factors.

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

How to Calculate Factors of 60?

To calculation the determinants of 60, we can use various methods like prime factorization and also the division method. In prime factorization, us express 60 as a product that its prime factors and in the department method, we check out 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 determinants using illustrations and also interactive examples.

Factors that 60 by prime Factorization

Prime factorization is the procedure of creating a number together a product of its prime factors. Allow us learn exactly how to uncover the components of a number making use of prime factorization. We begin by looking for the smallest prime number which can divide 60 leaving the remainder as 0. As 60 is an also number, 2 is among its factors.

Prime administrate 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 separated by the smallest or 2nd smallest prime number and also the procedure continues it spins the quotient becomes indivisible. Let us divide 60 by the prime number 2⇒ 60 ÷ 2 = 30Now we should divide the quotient 30 by the next the very least prime number. Because 30 is an also number, the is divisible through 2⇒ 30 ÷ 2 =1515 will be divisible through 3⇒ 15 ÷ 3= 55 is a prime number and also hence not additional divisible.

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

Prime administer by aspect Tree

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

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


Pair factors are the components of a number offered in pairs, which once multiplied together, give that initial number.6 and also 10 both are factors of 60. Because that example, 6 × 10 = 60.The pair determinants of 60 would certainly be the 2 numbers which, when multiplied together, an outcome in 60.

The complying with table to represent 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 have the right to have an adverse factors likewise 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 components of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.Every even number will have actually 2 as one of its factors.60 is a composite number together it has more factors various other than 1 and also itself.

Challenging Questions:

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

Example 1: Fifteen friends have 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 have to divide 60 by 15.60 ÷ 15 = 4Hence, each friend will obtain 4 pizzas.


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

Solution:

Factors of 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 usual factors that 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 all the prime factors of 60.

Solution:

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


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FAQs on components of 60

What room the components of 60?

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

What Numbers room the Prime components of 60?

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

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What room the usual Factors that 60 and also 38?

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

What is the amount of every the determinants of 60?

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