Factors of 51 – With Division and Prime Factorization

Factors of 51

Factors Of 51

The factors of 51 are the numbers that multiply to produce the result of 51. Multiply 3 by 4, for example, and we get 12, i.e., 3 × 4 = 12. Here, 3 and 4 are the factors of 12. Also, you can find the factors of 51 in a similar fashion. This article describes the factors of 51 as well as prime factors of 51, along with steps on how to find them.

What are the Factors of 51?

Consequently, 51 is a composite number with more than two factors.

1, 3, 17, and 51

Furthermore, we know that 51 is divisible by its exact factors. In other words, we can find factors in some different ways, such as by using a division method, factorization, and arrangements of objects.

What are the Factors of -51?

We can get -51 by having (-1, 51), (-3, 17), and (-17, 3) as a pair of factors. Similarly, we can also get -51 by having (1, -51), (3, -17), and (17, -3) as a pair of factors.

How to Find the Factors of 51?

In order to determine the factors for 51, follow these steps:

  •   First, In your notebook, write the number 51.
  • Multiply a number by another, such as 3 by 17, to get 51.
  • 3 is a prime number whose factors are only 1 and the number itself. There is no way to factorize it further.
  • 3 = 1 × 3
  • You cannot factorize 17 since it is a prime number.
  • 17 = 1 × 17
  • As a result, 51 can be factorized into 1 × 3 × 17.

Here, we obtain unique numbers of 1, 3, 17, and 51.

Factor pairs of 51

As you know, when multiplying two numbers in a pair to get the original number, you will find the pair factors of 51. The following are some of these pair factors:

1 × 51 = 51; (1, 51)

3 × 17 = 51; (3, 17)

17 × 3 = 51; (17, 3)

51 × 1 = 51; (51, 1)

Thus, these are the positive pair factors for 51.

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

In addition, the negative pair factors of 51 can also be written as:

(-1) × (-51) = 51

(-3) × (-17) = 51

(-17) × (-3) = 51

(-51) × (-1) = 51

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

How to calculate Prime Factors of 51?

Similarly, Prime factors of 51 can be written using the prime factorization method.

We start by dividing the number 51 with the smallest prime number, 2.

51 ÷ 2 = 25.5

The factors of 51 cannot be fractions, so 2 is not the prime factor.

As we move forward, we have the prime numbers, i.e., 3, 5, 7, and so on.

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

Thus, the prime factors of 51 are 3 and 17. We can also write the prime factorization of 51 as follows:

51 =  3 × 17

Get Factors of more Numbers Here

Factors of 30 = 1,2,3,5,6,10,15 and 30.Factors of 32 = 1, 2, 4, 8, 16 and 32.Factors of 35 =  1, 5, 7 and 35.
Factors of 36 =   1,2,3,4,6,9,12,18, and 36. Factors of 40 = 1, 2, 4,5,8,10,20 and 40.Factors of 42 = 1, 2, 3, 6, 7, 14, 21, and 42.
Factors of 45 = 1, 3, 5, 9, 15, and 45.Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.Factors of 49 =  1, 7, 49. 
Factors of 50 = 1, 2, 5, 10, 25, 50.Factors of 54 = 1, 2, 3, 6, 9, 18, 27 and 54.Factors of 56 = 1, 2, 4, 7, 8, 14, 28 and 56.

FAQ’s

What are the multiples of 51?

Numerous multiples of fifty-one exist, such as 51, 102, 153, 204, 255, 306, 357, 408, 459, 510, and so on.

Is 51 a prime number, and why?

Because fifty-one has more than two factors, it is not prime. 1, 3, 17, 51 are the factors of fifty-one.

Is 2 a factor of 51, yes or no?

The factors of 51 are 1, 3, 17, and 51. Therefore, 2 is not a factor of fifty-one.

Is 51 divisible by any number?

Only the factors of fifty-one are divisible by 51. This means that the number fifty-one is divisible by 1, 3, 17, and 51.

What is the HCF of 46 and 51?

There are four factors of 46: 1, 2, 23, and 46.

There are three factors of 51: 1, 3, and 51.

47 and 51 have a high common factor (HCF) of 1.

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