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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
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Factors of 1

1 is the only number that is neither prime nor composite. 1 is the only factor of 1. 1 is the only number that has only 1 factor. In this lesson, we will learn about the factors of 1 along with solved examples based on factors of 1 for a better understanding.

  • Factor of 1: 1 
  • Negative Factor of 1: -1
  • Prime Factorization of 1: As 1 has no prime factors, it cannot be prime factorized.
  • Sum of Factors of 1: 1
1. What Are the Factors of 1?
2. How to Calculate Factors of 1?
3. Important Notes
4. Factors of 1 by Prime Factorization
5. Factors of 1 in Pairs
6. FAQs on Factors of 1

What Are the Factors of 1?

  • The number 1 is known as a unit. 1 is neither prime nor composite and has no prime factors.
  • This means we cannot find factors of 1 and the prime factorization of 1 is not possible.

How to Calculate the Factors of 1?

  • 1 is the only factor of 1 itself. Hence, there are no more factors of 1 to calculate.

Explore factors using illustrations and interactive examples 

  • Factors of 10 - The factors of 10 are 1, 2, 5, 10
  • Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
  • Factors of 102 - The factors of 102 are 1, 2, 3, 6, 17, 34, 51 and 102
  • Factors of 110 - The factors of 110 are 1, 2, 5, 10, 11, 22, 55 and 110
  • Factors of 1000 - The factors of 1000 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 200, 250, 500 and 1000

Important Notes:

  • 1 is the only factor of 1.
  • 1 is the factor of all numbers.
  • 1 is the only number whose square and the square root is 1 itself.
  • 1 is the identity element for multiplication i.e any number multiplied by 1 results in the number itself.

Factors of 1 by Prime Factorization

  • Since 1 is not a prime number, therefore, its prime factorization is not possible.

Factors of 1 in Pairs

  • 1 can be obtained by the product of 1 and 1, i.e, 1 = 1 × 1. Hence, the pair factor of 1 is (1, 1).
 

Factors of 1 Solved Examples

  1. Example 1: What is the area of a square having a side length of 1 inch?

    Solution:

    To find the area of a square we use the formula, area = side × side = side2
    The area of square = 1 × 1 = 1 inch square. 

    Hence, the area of a square having a side length of 1 inch is 1 inch2.

  2. Example 2: What is the common factor of 1 and 2?

    Solution:

    The factor of 1 is 1. The factors of 2 are 1 and 2. Hence, the common factor of 1 and 2 is 1.

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FAQs on Factors of 1

Is 1 considered a factor?

Yes, 1 is the factor of all numbers.

Is 1 a Prime Factor?

No, it is not a prime factor since number 1 is not a prime number.

Is 1 a Perfect Square?

Yes, 1 is the smallest perfect square number.

What Numbers are the Prime Factors of the number 1?

The number 1 has no prime factors i.e. zero prime factors.

What is the Greatest Common Factor of number 1 and a number X?

The number 1 has only one factor which is 1 and 1 is a common factor to all numbers. Therefore, the Greatest Common Factor of 1 and any natural number is always 1 i.e. GCF(1, X) = GCF(X, 1) = 1 for all X ∈ ℕ.

What is the Sum of the Factors of 1?

The number 1 has only one factor which is 1 itself. Therefore, the sum of the factors of 1 is 1.

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