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

You are watching: Express 60 as a product of prime factors

**Factors that 60:**1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60

**Negative determinants of 60:**-1, -2, -3, -4, -5, -6, -10, -12, -15, -20, -30 and also -60

**Prime factors of 60:**2, 3, 5

**Prime administer of 60:**2 × 2 × 3 × 5 = 22 × 3 × 5

**Sum of determinants of 60:**168

1. | What room the factors 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 factors of 60 |

## What space the components of 60?

The components of 60 space all the number that offer the worth 60 when multiplied. Together 60 is an also number, ithas an ext than one factor. To know why it is composite, let's recall the meaning of a composite number. A number is stated to be **composite** if the has an ext than two factors.

## How to CalculateFactors of 60?

To calculate the components of 60, we deserve to use various methods like prime factorization and also the department method. In prime factorization, we express 60 as a product of its prime factors and also 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 and60.**

**Explore determinants using illustrations and interactive examples.**

## Factors that 60 by prime Factorization

**Prime factorization** is the process of writing a number as a product the its element factors. Let uslearn exactly how to discover the factors of a number using prime factorization. We begin by trying to find the the smallest prime numberwhich can divide 60leaving the remainder as 0.As 60 is an even number, 2 is among its factors.

### Prime administer by Division

The number 60is divided by the the smallest prime number which divides 60exactly, i.e. It pipeline a remainder 0. The quotient is then separated by the the smallest or 2nd smallest prime number and the process continues it rotates the quotient i do not care indivisible. Let united state divide 60by the prime number 2⇒60 ÷2 = 30Now we should divide the quotient 30by the next least prime number. Since 30is an even number, the isdivisible through 2⇒30 ÷2 =1515 willbe divisible by 3⇒ 15 ÷ 3= 55 is a prime number and also hence not additional divisible.**Prime administer of 60=**2×2 × 3× 5Therefore, the prime components of 60are 2, 3, and also 5.

### Prime administer by element Tree

The other means of element factorization is taking 60as the root and also creatingbranches by splitting it by the the smallest prime number. This method is similar to the department method above. The difference lies in presenting the factorization. The figure listed below shows the variable tree of 60.Collect every the numbers in circles and also write 60as the product of these numbers.Hence, 60 = 2×2 × 3× 5

Pair determinants are the components of a number provided in pairs, which once multiplied together, provide that initial number.6 and also 10both are determinants of 60. For example, 6× 10= 60.The pair determinants of 60 would be the two numbers which, as soon as multiplied together, result in 60.

The complying with table to represent the pair determinants of 60:

Product | Pair 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 negative factors also for a provided number.Thenegative pair determinants of 60are(-1, -60), (-2, -30), (-3, -20), (-4, -15), (-5, -12) and (-6, -10).

**Important Notes:**

**Challenging Questions:**

**Example 1:** Fifteenfriends have actually 60pizzasfrom a pizza shopand distributed among themselves equally. How countless pizzazwould each one of them get?

**Solution:**

15 pizzasare to be divided among friends equally.This indicates we must divide 60by 15.60 ÷ 15= 4Hence, each friend will acquire 4 pizzas.

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

**Solution:**

Factors that 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 usual factors of 60and 80= 1, 2, 4, 5, 10, and also 20Hence, the usual factors of 60and 80are1, 2, 4, 5, 10, and 20.

**Example 3: discover the product of every the prime components of 60.**

**Solution:**

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

## FAQs on factors of 60

### What room the factors of 60?

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

### What is the Greatest common Factor the 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 also 21 room <1, 3>.Hence, the GCF that 60 and also 21 is 3.

### What Numbers are the Prime components of 60?

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

See more: What Is The Number Of Protons In Calcium, How Many Protons Does Calcium Have

### What space the usual Factors the 60 and 38?

Since, the determinants of 60 room 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 usual factors of 60 and also 38.

### What is the amount of every the factors of 60?

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