Factors that 60 space integers that have the right to be separated evenly right into 60. There are 12 factors of 60 of i m sorry 60 itself is the greatest factor and its prime components are 2, 3 and 5 The sum of all components of 60 is 168.

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**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 administrate of 60:**2 × 2 × 3 × 5 = 22 × 3 × 5

**Sum of factors of 60:**168

1. | What space the components of 60? |

2. | How come Calculate determinants of 60? |

3. | Factors the 60 by prime Factorization |

4. | Factors of 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 value 60 when multiplied. As 60 is an also number, it has much more than one factor. To understand why it is composite, let"s remind the definition of a composite number. A number is claimed to it is in **composite** if it has much more than 2 factors.

## How to Calculate Factors of 60?

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

## Factors that 60 by element Factorization

**Prime factorization** is the process of creating a number as a product of its element factors. Permit us learn how to find the components of a number using prime factorization. We start by searching for the smallest prime number which deserve to divide 60 leaving the remainder together 0. As 60 is an also number, 2 is just one of its factors.

### Prime administer by Division

The number 60 is divided 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 element number and the procedure continues till the quotient becomes indivisible. Let united state divide 60 by the element number 2⇒ 60 ÷ 2 = 30Now we should divide the quotient 30 by the next least prime number. Because 30 is an also number, it is divisible by 2⇒ 30 ÷ 2 =1515 will be divisible through 3⇒ 15 ÷ 3= 55 is a prime number and hence not additional divisible.**Prime administrate of 60 = **2 × 2 × 3 × 5Therefore, the prime determinants of 60 are 2, 3, and also 5.

### Prime administrate by variable Tree

The other method of element factorization is acquisition 60 as the root and also creating branches by separating it by the smallest prime number. This technique is comparable 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 60 as the product of these numbers.Hence, 60 = 2 × 2 × 3 × 5

Pair components are the components of a number provided in pairs, which once multiplied together, provide that original number.6 and 10 both are factors of 60. For 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 components 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 have the right to have negative factors additionally for a given number. The negative pair factors of 60 are (-1, -60), (-2, -30), (-3, -20), (-4, -15), (-5, -12) and (-6, -10).

**Important Notes:**

**Challenging Questions:**

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

**Solution:**

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

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

**Solution:**

Factors of 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 common factors that 60 and 80 = 1, 2, 4, 5, 10, and 20Hence, the common factors the 60 and 80 are 1, 2, 4, 5, 10, and 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 components = 2 × 3 × 5 = 30.

## FAQs on determinants of 60

### What are the factors of 60?

The components of 60 space 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and also its an adverse factors space -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 21 room 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 are <1, 3>.Hence, the GCF the 60 and 21 is 3.

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

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

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

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

### What is the sum 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