 # Factors of 51

Factors of 51 are the numbers which get multiplied and produce the result as 51. For example, multiplying 3 and 4, we get 12, i.e. 3 × 4 = 12. Here, 3 and 4 are the factors of 12. Similarly, we can find the factors of the number 51. In this article, the factors of 51, how to find the factors of a number 51 and prime factors of 51 along with steps are given.

## What are the Factors of 51?

The number 51 is a composite number and hence it has more than two factors.

 Factors of 51 1, 3, 15, and 51

Also, we know that the factors of 51 are the exact divisors of that number. Thus, we can find the factors for any number in different ways for example, division method, factorisation and arrangement of objects in specific patterns.

## How to Find the Factors of 51?

The steps to find the factors for 51 are given below:

Step 1: First, write the number 51 in your notebook.

Step 2: Find the two numbers, which on multiplication give 51, say 3 and 17, such as 3 × 17 = 51.

Step 3: We know that 3 is a prime number which has only two factors, i.e. 1 and the number itself. So, we cannot factorize it further.

3 = 1 × 3

Step 4: Also, 17 is a prime number and cannot be factorized.

17 = 1 × 17

Step 5: Therefore, the factorization of 51 gives us 1 × 3 × 17.

The unique numbers which are obtained here are: 1, 3, 17, and 51

### Factor pairs of 51

To find the pair factors of 51, multiply the 2 numbers in a pair to have the original number as 51. Such numbers are as follows:

1 × 51 = 51; (1, 51)

3 × 17 = 51; (3, 17)

17 × 3 = 51; (17, 3)

51 × 1 = 51; (51, 1)

These are the positive pair factors for the number 51.

Therefore, the factors of 51 are: 1, 3, 17 and 51.

We can also write the negative pair factors of 51 such as:

(-1) × (-51) = 51

(-3) × (-17) = 51

(-17) × (-3) = 51

(-51) × (-1) = 51

Thus, the negative pair factors of 51 are (-1, -51), (-3, -17), (-17, -3), and (-51, -1).

### How to calculate Prime Factors of 51?

By prime factorization method, we can write the prime factors of 51 as given below.

The first step is to divide the number 51 with the smallest prime number, i.e. 2.

51 ÷ 2 = 25.5

As we know, the factors cannot be a fraction, therefore, 2 is not the prime factor for 51.

Now, proceed to the next prime numbers, i.e. 3, 5, 7 and so on.

51 ÷ 3 = 17, 3 and 17 are prime, so we cannot proceed with the division method.

Thus, the prime factorisation of 51 is 3 × 17.

## Frequently Asked Questions on Factors of 51

### What are the multiples of 51?

The multiples of 51 are 51, 102, 153, 204, 255, 306, 357, 408, 459, 510, etc.

### Is 51 a prime number and why

No, 51 is not a prime number since it has more than two factors. The factors of 51 can be written as 1, 3, 17, 51.

### Is 2 a factor of 51, yes or no?

No, 2 is not a factor of 51 since the factors of 51 are 1, 3, 17 and 51.

### Is 51 divisible by any number?

51 is divisible by only its factors. Thus, the number 51 is divisible by 1, 3, 17, and 51.

### What is the HCF of 46 and 51?

The factors of 46 are 1, 2, 23 and 46.

The factors of 51 are 1, 3, 17, and 51.

The HCF (highest common factor) of 46 and 51 is 1.