# Factors of 11

### Factors of 11 are 1, 11. Now understand the basic concept of factor and how to find the factors in easy way.

## What is the factor?

Factors are integers you multiply together to get another integer. **Also remember that the factors always include 1 and itself.**

**NOTE: When finding the factors of a number, ask yourself “what numbers can be multiplied together to give me this number?.**

## How to find the factors of 11?

**THINK**: **What pairs of numbers can be multiplied together to give me 11?**

**Step 1****: 1 x 11 = 11, so put these numbers in the factor list.**

1 | … | 11 |

**Step 2****: **Take **2** and divide with **11**. The remainder will be **1**. But factors always give **0** remainder. This means **2 is NOT a factor of 11.**

1 | … | 11 |

**Step 3****:**Take **3** and divide with **11**. The remainder will be 2. But factors always give 0 remainder. This means **3 is NOT a factor of 11**.

1 | … | 11 |

**Step 4****:**Take 4 and divide with 11. The remainder will be 3. But factors always give 0 remainder. This means **4 is NOT a factor of 11**.

1 | … | 11 |

**Step 5****: **Take **5** and divide with **11**. The remainder will be **1**. But factors always give **0** remainder. This means **5 is NOT a factor of 11.**

1 | … | 11 |

Same way you can check all the numbers upto 11. **So, factors of 11 is 1, 11.**

**TIPS: Try to keep tables (at least till 20) on your finger tips. Revise tables every day**

## Is 11 a prime or composite number?

**Yes, 11 is a prime number** because it has only two distinct divisors: 1 and 11 (itself).

What is prime number – An integer number that is divisible by two distinct integers, 1 and itself.

## What is the prime factorization of 11

The** prime factorization of 11 is 1 × 11**. The number 11 is a prime number, because its only factors are 1 and itself.

## Factor pairs of 11

Factors are often given as pairs of numbers, which multiply together to give the original number. These are called factor pairs

**What is factor pairs:** Factor pairs are combinations of two factors that multiply together to give the original number.

So for 11, there are 4 factor pairs

1 × 11 = 11

11 × 1 = 11

-1 × -11 = 11

-11 × -1 = 11

## Is 11 a square number?

No, 11 is not a square number.

The square root of 11 is **3.317.**

The square of 11 is **121.**

Hope you learned to solve the factors of 11.

## Factors of another number

Factors of 11

Factors of 18

Factors of 24

Factors of 28

Factors of 30

Factors of 32

Factors of 36

Factors of 40

Factors of 42

Factors of 45

Factors of 48

Factors of 56

Factors of 72