Study Guides/Maths/Factors of 20
Study Guide · Maths

Factors of 20 and Prime Factorization

Finding the factors of 20 means identifying all the whole numbers that divide 20 without leaving any remainder. It is a fundamental concept in arithmetic and fractions.

Question (Click to Flip)

How many factors does the number 20 have?

Answer

The number 20 has exactly 6 positive factors: 1, 2, 4, 5, 10, and 20.

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Key Facts

Factors of 20: 1, 2, 4, 5, 10, 20.

Total number of factors: 6.

Prime factors: 2 and 5.

Type: 20 is an Even Composite Number.

What are the Factors of 20?

Let's find the numbers that multiply together to make 20:

  • 1 × 20 = 20
  • 2 × 10 = 20
  • 4 × 5 = 20

Listing them in increasing order, the factors of 20 are: 1, 2, 4, 5, 10, and 20.

Factor Pairs of 20

The factor pairs of 20 are:

  • Positive pairs: (1, 20), (2, 10), (4, 5)
  • Negative pairs: (-1, -20), (-2, -10), (-4, -5) (Remember: A negative times a negative equals a positive).

Prime Factorization of 20

To find the prime factors, we divide 20 by prime numbers (2, 3, 5, etc.) until we reach 1.

  • 20 ÷ 2 = 10
  • 10 ÷ 2 = 5
  • 5 is a prime number.

Prime Factorization of 20 = 2 × 2 × 5 (or 2² × 5).

Questions and Answers

How many factors does the number 20 have?+

The number 20 has exactly 6 positive factors: 1, 2, 4, 5, 10, and 20.

What are the prime factors of 20?+

The prime factors of 20 are 2 and 5. Its prime factorization is written as 2 × 2 × 5.

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