Factors the 60 room integers that deserve to be divided evenly right into 60. There space 12 factors of 60 of i beg your pardon 60 chin is the best factor and its prime components 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 60Negative components of 60: -1, -2, -3, -4, -5, -6, -10, -12, -15, -20, -30 and also -60Prime components of 60: 2, 3, 5Prime administrate of 60: 2 × 2 × 3 × 5 = 22 × 3 × 5Sum of components of 60: 168
1.What space the factors of 60?
2.How come Calculate factors of 60?
3.Factors that 60 by element Factorization
4.Factors that 60 in Pairs
5.FAQs on factors of 60

What space the determinants of 60?


The factors of 60 space all the number that offer the value 60 once multiplied. Together 60 is an even number, it has an ext than one factor. To know why the is composite, let"s remind the definition of a composite number. A number is claimed to be composite if the has more than two factors.

60 ÷ 2 = 335 and 12 are components 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 calculation the determinants of 60, we have the right to use different methods favor prime factorization and also the department method. In prime factorization, us express 60 as a product the its element factors and also in the division method, we watch what numbers division 60 exactly. 

Hence, the components 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 element Factorization

Prime factorization is the process of writing a number as a product of its element factors. Permit us learn exactly how to discover the components of a number using prime factorization. We start by in search of the the smallest prime number which deserve to divide 60 leaving the remainder as 0. As 60 is an also number, 2 is among its factors.

Prime factorization 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 2nd smallest prime number and the procedure continues it spins the quotient i do not care indivisible. Let united state divide 60 by the prime number 2⇒ 60 ÷ 2 = 30Now we need to divide the quotient 30 by the next the very least prime number. Due to the fact that 30 is an also number, that is divisible through 2⇒ 30 ÷ 2 =1515 will be divisible by 3⇒ 15 ÷ 3= 55 is a element number and also hence not additional divisible.

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

Prime factorization by factor Tree

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

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


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

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

Challenging Questions:

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

Example 1: Fifteen friends have 60 pizzas from a pizza shop and distributed amongst 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 must divide 60 by 15.60 ÷ 15 = 4Hence, each friend will obtain 4 pizzas.


Example 2: Sia desires to recognize if over there are any kind of common determinants of 60 and also 80. Help her in detect the answer to it.

Solution:

Factors that 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 usual factors of 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: uncover the product of all the prime determinants of 60.

Solution:

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


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FAQs on components of 60

What space the components of 60?

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

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

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

What Numbers space the Prime factors of 60?

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

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What are the usual Factors that 60 and 38?

Since, the factors of 60 space 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> space the common factors that 60 and 38.

What is the amount of every the components of 60?

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