Factors of 105 are the list of integers that deserve to be evenly divided into 105. Tright here are overall 8 determinants of 105 among which 105 is the best factor and 1, 3, 5, 7, 15, 21, 35, and also 105 are positive factors. The sum of all components of 105 is 192 and also its determinants in Pairs are (1, 105), (3, 35), (5, 21), and also (7, 15).

You are watching: What is the prime factorization of 105

**Factors of 105:**1, 3, 5, 7, 15, 21, 35 and 105

**Negative Factors of 105:**-1, -3, -5, -7, -15, -21, -35 and -105

**Prime Factors of 105:**3, 5, 7

**Prime Factorization of 105:**3 × 5 × 7 = 3 × 5 × 7

**Sum of Factors of 105:**192

1. | What Are the Factors of 105? |

2. | How to Calculate the Factors of 105? |

3. | Factors of 105 by Prime Factorization |

4. | Factors of 105 in Pairs |

5. | FAQs on Factors of 105 |

## What Are the Factors of 105?

Factors of 105 are the numbers that divide 105 perfectly without leaving any type of remainder.

The components of 105 are 1, 3, 5, 7, 15, 21, 35, and also 105.

## How to Calculate the Factors of 105?

To calculate the determinants of 105, we deserve to use the department technique. Let"s start via 1.

105 ÷ 1 leaves remainder 0.

Since 105 is not an also number, 2 does not divide 105 entirely. Thus, it leaves a remainder.

105 ÷ 3 leaves remainder 0.

105 ÷ 5 leaves remainder 0.

105 ÷ 7 leaves remainder 0.

105 ÷ 15 leaves remainder 0.

105 ÷ 21 leaves remainder 0.

105÷ 35 leaves remainder 0.

105 ÷ 105 leaves remainder 0.

Hence, the factors of 105 that we have actually acquired are 1, 3, 5, 7, 15, 21, 35, and 105.

**Explore components using illustrations and interenergetic examples**

## Factors of 105 by Prime Factorization

Prime factorization means expressing a compowebsite number as the product of its prime determinants.

Prime factorization of 105 = 3 × 5 × 7. We deserve to recognize the other composite factors of 105 from its prime components. We can view that 35 is a aspect of 105. Similarly, 15 and also 21 are also factors of 105.

## Factors of 105 in Pairs

The pair of numbers that give 105 on multiplication are the determinants of 105 in pairs. Look at the rainbow listed below. We start from 1 and also move forward by consisting of the numbers that give us 105 as their product.

We get the complying with combinations: 1 × 105, 3 × 35, 5 × 21, and also 7 × 15.

**Tips and also Tricks:**

All the numbers have at least 2 factors. 105 will certainly have the first aspect as 1 and also the other aspect is 105 itself.Factors of 105 are all the possible numbers 105 is divisible by. They may be prime numbers or compowebsite numbers.Factors are always integers. They can never be fractions or decimals.

## Factors of 105 Solved Examples

**Example 1:** 105 students are to be split right into groups such that there are an equal number of students in each team. In just how many ways deserve to they be grouped?

**Solution: **

We will use the principle of element pairing to divide 105 students right into groups.

We understand that (35, 3), (5, 21), and (7, 15) are the aspect pairs of 105.

Hence, the students have the right to be grouped in three different methods.

**Example 2: **Emily has a cocoa box via 105 chocolates in it. She distributed the chocolates among her classmates. Can you find the total variety of students if she gives 5 chocolate to each one of them?

**Solution: **

Given, total number of chocolates = 105

Chocolates provided to each student = 5

Thus, the variety of students in the class is = 105 ÷ 5 = 21 students.

Here we can view the numbers offered, i.e. (5,21), is a pair factor of 105.

**Example 3: **Is there any type of chance that you can divide 105 geomeattempt boxes equally among 50 kids?

**Solution: **Clearly on, the answer is NO! Since 50 is not a variable of 105 and also leaves a remainder, so we cannot distribute 105 geometry boxes to 50 kids equally.

View More >

go to slidego to slidego to slide

Break dvery own challenging concepts with simple visuals.

Math will no much longer be a difficult subject, especially as soon as you understand also the principles with visualizations.

Publication a Free Trial Class

## FAQs on Factors of 105

### What are the Factors of 105?

The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105 and its negative determinants are -1, -3, -5, -7, -15, -21, -35, -105.

### How Many Factors of 105 are additionally Factors of 3?

Due to the fact that, the factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105 and also the factors of 3 are 1, 3.Hence, <1, 3> are the prevalent determinants of 105 and 3.

### What is the Sum of all the Factors of 105?

Sum of all determinants of 105 = (31 + 1 - 1)/(3 - 1) × (51 + 1 - 1)/(5 - 1) × (71 + 1 - 1)/(7 - 1) = 192

### What is the Greatest Common Factor of 105 and 97?

The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105 and also the components of 97 are 1, 97. 105 and 97 have actually only one widespread aspect which is 1. This implies that 105 and also 97 are co-prime.Hence, the Greatest Usual Factor (GCF) of 105 and 97 is 1.

See more: If You Mix Green And Pink, What Color Do You Get When You Mix Pink And Green ?

### What are the Pair Factors of 105?

The pair factors of 105 are (1, 105), (3, 35), (5, 21), (7, 15).