Table of Contents

- 1 What are the prime factors for 60?
- 2 How many factors does 60 have?
- 3 How do you make a factor tree of 60?
- 4 What is the multiple of 60?
- 5 Is 60 a composite number?
- 6 How many ways can 500 be written as the product of two numbers?
- 7 How do you write 40 as a product of prime numbers?
- 8 How many positive integers between 100 and 200 are co-prime to 630?

## What are the prime factors for 60?

So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5. The actual prime factors of 60 are 2, 3, and 5.

**What are the factor pairs for 60?**

Hence, the factors of 60 in pairs are (1, 60), (2, 30), (3, 20), (4, 20), (5, 12) and (6, 10).

### How many factors does 60 have?

The factors of 60 are the numbers that are multiplied in pairs resulting in the number 60. In other words, the numbers that divide 60 exactly are the factors of 60. The number 60 has more than two factors, as it is a composite number. The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60.

**How many ways can a number be written as a product of two different factors?**

Therefore, there are total 8 ways . Originally Answered: In how many different ways can 68 be expressed as the product of two factors?

#### How do you make a factor tree of 60?

The following is the factor trees for 60.

- 60 = 2 × 30.
- 30 = 6 × 5.
- 6 = 2 × 3.

**What is a special name for 60?**

Wedding Anniversaries Gifts and Names by Year

Year | Anniversary Name | Modern Gift or Present |
---|---|---|

45th | Sapphire | Sapphire |

50th | Gold | Gold |

55th | Emerald | Emerald |

60th | Diamond | Diamond |

## What is the multiple of 60?

The first 6 multiples of 60 are 60, 120, 180, 240, 300, and 360.

**How many distinct positive integer factors does 60?**

It has a total of 4 prime factors and 12 positive divisors. There are 16 positive integers (up to 60) that are relatively prime to 60.

### Is 60 a composite number?

Yes, since 60 has more than two factors i.e. 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. In other words, 60 is a composite number because 60 has more than 2 factors.

**How many ways 48 can be written as a product of 2 numbers?**

So we can write 48 as a × b in 10 different ways.

#### How many ways can 500 be written as the product of two numbers?

Factors of 500 are the integers which when multiplied in pairs give the product as 500. Factors of 500 have a total of 12 factors in all and a total of 6 positive and negative factor pairs as well. In this lesson, we will calculate the factors of 500, the prime factors of 500, and the factors of 500 in pairs.

**What are the missing factors in the factor tree for 60?**

Question 13 Q2) Here are two different factor trees for 60. Write the missing numbers. hence, the missing numbers are 3,2. hence, the missing numbers are 5,2,3.

## How do you write 40 as a product of prime numbers?

When a composite number is written as a product of prime numbers, we say that we have obtained a prime factorization of that composite number. For example, since is a prime factorization of 60. and then factoring 20 into a product of primes. Next, write the number 40 as a product of prime numbers by first writing

**How many ways can 48 be written as a product of 2 Co-Primes?**

Hence, the number of ways = 22-1 =2 i.e. 48 can be written as a product of 2 co-primes, in two different ways. They are (1, 48) and (3, 16). 2. Number of co-primes to N, that is less than N

### How many positive integers between 100 and 200 are co-prime to 630?

1. How many integers from 101 to 300 are co-prime to 20? So we need to find the numbers which do not have 2 or 5 as factors. Hence, 80 is the answer. 2. How many positive integers between 100 and 200 are co-prime to 630? Now we need to find out the double counting cases and remove them. Hence, 25 is the answer.

**What is the product of prime numbers in Theorem 4?**

Theorem 4.9 in Section 4.2 states that every natural number greater than 1 is either a prime number or a product of prime numbers. When a composite number is written as a product of prime numbers, we say that we have obtained a prime factorization of that composite number.