Did you understand that 55 is the sum of the first 10 natural numbers i.e. 1+2+3+4+5+6+7+8+9+10=55 and it is also the amount of the squares that the an initial 5 natural numbers i.e. 1+4+9+16+25=55? In this lesson, we will certainly calculate the factors of 55, the prime determinants of 55, and the components of 55 in pairs. We will additionally go v a few solved examples.

You are watching: What are all the factors of 55

**Factors the 55:**1, 5, 11 and also 55

**Prime administrate of 55:**55 = 11 × 5

1. | What room the determinants of 55? |

2. | Tips and Tricks |

3. | How to calculate the determinants of 55? |

4. | Factors the 55 by prime Factorization |

5. | Thinking the end of The Box! |

6. | Factors of 55 in Pairs |

7. | FAQs on factors of 55 |

## What space the components of 55?

**The numbers by which 55 is divisible room the components of 55**. For example, 55 is divisible by 11. Hence, 11 is a factor of 55.

Can girlfriend think the other determinants of 55?

**Tips and Tricks:**

## How to calculate the components of 55?

We have learnt that the components of 55 have the right to be discovered using division. Us can discover the determinants of 55 making use of multiplication as well. Can you think of two numbers whose product is 55? deserve to you think of all such possibilities?

The multiplicands of each such product room the factors of 55.

Hence, the **factors of 55 are 1, 5, 11 and 55.**

**Explore factors using illustrations and interactive examples**

## Factors of 55 by prime Factorization

The prime factorization the 55 is to express 55 together the product of prime numbers which provides the an outcome as 55. Thus, the element factorization that 55 is 55 = 5 × 11. Indigenous the prime factorization that 55, the is clear the 5 and 11 space the prime factors of 55. We recognize that 1 is the factor of every number.

Thus, the determinants of 55 by prime factorization room 1, 5, 11, and also 55.

**Think Tank:**

## Factors the 55 in Pairs

The pair determinants of 55 are derived by writing 55 as a product of two numbers in all possible ways. In every product, both multiplicands form the pair components of 55.

The determinants of 55 space 1, 5, 11, and 55.

Product that outcomes in 55

Pair factors of 551 × 55 | (1, 55) |

5 × 11 | (5, 11) |

The an unfavorable pair determinants of 55 room (-1, -55) and (-5, -11).

**Example 1: **Isabella, a dance teacher, wants to kinds 55 student of she dance course into teams for run practice. She desires each group to have actually equal variety of students. She likewise doesn"t want to form a group for either one college student or all students. Based upon this information, what can be the feasible size(s) that the group?

**Solution:**

We already learned the the determinants of 55 are 1, 5, 11, and also 55. Due to the fact that a group cannot have 1 or every the students, each group can have either 5 or 11 students.

Hence, the size of each team = 5 (or) 11.

See more: Write A Net Ionic Equation For The Reaction Of Hydrochloric Acid With Sodium Hydroxide

**Example 2: **William is stuck with finding the typical factors of 55 and 60. Deserve to we help him?

**Solution:**

We have already learned that, the components of 55 are 1, 5, 11 and 55. The components of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and also 60. Hence, the components that are typical to both 55 and 60 are 1 and 5.