What is the prime factors of 51

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51 divided by 3, 17, gives no remainder. They are integers and prime numbers of 51, they are also called composite number.

prime factorization calculator or integer factorization of a number is the determination of the set of prime integers which multiply together to give the original integer. It is also known as prime decomposition.

Prime number are numbers that can divide without remainder, This means that 51 is divisible by 3, 17, numbers.

51  52  53  54  55  56  57  58  59  60  61  62  63  64  65  66  67  68  69  70  

Mathematics is full of magic, sometimes more than we even expected. There appears to be a connection between this math trick and 4 x 4 magic squares. I will be interested to see if anyone can form a 4 x 4 magic square from the information provided by The Science Magician in this post. There are 880 ways to make a 4 x 4 magic square, so it seems like it would still be a lot of work. This same process works on a 3 x 3 square and results in numbers that add up to 15 in every case when the numbers from 1 to 9 are used.

If you reverse the digits in 15, you get 51. Can you make a magic square in which the magic sum is 51? Yes, you can! If you use the numbers from 13 to 21, the magic sum will be 51. One such configuration is shown here:

Notice that 17 is the number in the middle square and 17 × 3 = 51.

Only multiples of 3 that are greater than or equal to 15 can be magic sums of a 3 × 3 magic square.

51 is a composite number. 51 = 1 x 51 or 3 x 17. Factors of 51: 1, 3, 17, 51. Prime factorization: 51 = 3 x 17.

51 is never a clue in the FIND THE FACTORS puzzles.

51 is in this curious pattern:

Here we have a collection of all the information you may need about the Prime Factors of 51. We will give you the definition of Prime Factors of 51, show you how to find the Prime Factors of 51 (Prime Factorization of 51) by creating a Prime Factor Tree of 51, tell you how many Prime Factors of 51 there are, and we will show you the Product of Prime Factors of 51.

Prime Factors of 51 definition

First note that prime numbers are all positive integers that can only be evenly divided by 1 and itself. Prime Factors of 51 are all the prime numbers that when multiplied together equal 51.
How to find the Prime Factors of 51 The process of finding the Prime Factors of 51 is called Prime Factorization of 51. To get the Prime Factors of 51, you divide 51 by the smallest prime number possible. Then you take the result from that and divide that by the smallest prime number. Repeat this process until you end up with 1. This Prime Factorization process creates what we call the Prime Factor Tree of 51. See illustration below.

All the prime numbers that are used to divide in the Prime Factor Tree are the Prime Factors of 51. Here is the math to illustrate: 51 ÷ 3 = 1717 ÷ 17 = 1 Again, all the prime numbers you used to divide above are the Prime Factors of 51. Thus, the Prime Factors of 51 are: 3, 17.
How many Prime Factors of 51? When we count the number of prime numbers above, we find that 51 has a total of 2 Prime Factors.

Product of Prime Factors of 51

The Prime Factors of 51 are unique to 51. When you multiply all the Prime Factors of 51 together it will result in 51. This is called the Product of Prime Factors of 51. The Product of Prime Factors of 51 is: 3 × 17 = 51

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Prime Factors of 52

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Did you know that the number 51 is odd and is the product of two distinct prime numbers, 3 and 17? In this lesson, we will learn about the factors of 51, the prime factors of 51, and the factors of 51 in pairs with solved examples for a better understanding.

• Factors of 51: 1, 3, 17, and 51
• Prime Factorization of 51: 51 = 3 × 17

What Are the Factors of 51?

The integers that divide 51 without leaving any remainder are called the factors of 51. For example, 17 divides 51 without leaving any remainder.
Hence, 17 is a factor of 51.

Interestingly, 3, which is the quotient of the above division, is also a factor of 51. Check whether you get 0 as the remainder when you divide 51 by 3 using long division.

Tips and Tricks: 

1. 1 and the number itself are the factors of any number. Thus, every number has a minimum of two factors.
2. Every number has a finite number of factors.
3. Every factor of a number is less than or equal to the given number.

How to Calculate the Factors of 51?

To find the factors of 51, we have to find all the numbers which divide 51 and give the remainder as 0.

The divisors of all such divisions are the factors.

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

Explore factors using illustrations and interactive examples.

• Factors of 68 - The factors of 68 are 1, 2, 4, 17, 34, and 68.
• Factors of 57 - The factors of 57 are 1, 3, 19, and 57.
• Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
• Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25 and 50.
• Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.
• Factors of 17 - The factors of 1 and 17.

Factors of 51 by Prime Factorization

The prime factorization of 51 is the product of prime numbers which results in 51. 

Thus, the prime factorization of 51 is 51 = 3 × 17. From the prime factorization of 51, it is clear that 3 and 17 are the factors of 51.In fact, 3 and 17 are the prime factors of 51.
When 3 and 17 are the factors of 51, 3 × 17 = 51 is also a factor of 51.

Also, we know that 1 is a factor of every number. Thus, the factors of 51 by prime factorization are 1, 3, 17, and 51.

Important Notes:

• The prime numbers involved in the prime factorization of a number are the prime factors of the number.
• By multiplying the multiplicands of the prime factorization in different combinations, we can obtain the composite factors of the number.
• Fractions and decimals cannot be factors. Only integers (positive or negative) can be factors.

Factors of 51 in Pairs

The pair factors of 51 are obtained by writing 51 as a product of two numbers in all possible ways. In each case, both multiplicands are the factors of 51.

Product that Results in 51

Pair Factors of 51

1 × 51	1, 51
3 × 17	3, 17

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

 

1. Example 1: Can you try to solve the following riddle?

   "I am a two-digit number. I lie between 10 and 20. I am a factor of 51. Who am I?"

   Solution:

   We already learned that the factors of 51 are 1, 3, 17, and 51.

   The factor of 51 which is a two-digit number and lies between 10 and 20 is 17.

   Hence, the answer to the riddle is 17.

2. Example 2: Mark was asked to find the prime factorization of 51 in his exam. He answered that the prime factorization of 51 is: 51 = 51 × 1. 

   But his teacher marked it wrong. Can we help him by giving the correct prime factorization?

   Solution:

   The above factorization of 51 is NOT a prime factorization as 51 and 1 are NOT prime numbers. Hence, we have to further express 3 and 17 as the product of prime numbers.

   Hence, the prime factorization of 51 is 51 = 3 × 17.

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FAQs on Factors of 51

What are all the factors of 51?

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

Why is 51 not a prime number?

51 has 4 factors which are 1, 3, 17, and 51.

Since 51 has more than 2 factors, it is not a prime number.

What are the common factors 51 and 50?

The factors of 51 are, 1, 3, 17, and 51. The factors of 50 are 1, 2, 5, 10, 25, and 50. The common factor of 51 and 50 is 1.

What are the factors of 51 and 85?

The factors of 51 are 1, 3, 17, and 51. The factors of 85 are 1, 5, 17, and 85.

What are the common factors of 51 and 93?

The factors of 51 are 1, 3, 17, and 51. The factors of 93 are 1, 3, 31, and 93. Thus, the common factors of 51 and 93 are 1 and 3.