What Are the Factors of 20?
The factors of 20 are numbers that can be multiplied together in pairs to get 20. These factors are 1, 2, 4, 5, 10, and 20. Since 20 is an even composite number, it has several factors besides just 1 and 20.
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Pair Factors of 20
Pair factors are pairs of numbers that, when multiplied together, give the original number, 20. These pairs can be positive or negative. Here are the pairs:
- Positive Pairs: (1, 20), (2, 10), (4, 5)
- Negative Pairs: (-1, -20), (-2, -10), (-4, -5)
Factors of 20 by Division Method
To find the factors of 20 using the division method, divide 20 by different numbers. If the division leaves no remainder, the divisor is a factor. For example:
- 20 ÷ 1 = 20
- 20 ÷ 2 = 10
- 20 ÷ 4 = 5
- 20 ÷ 5 = 4
- 20 ÷ 10 = 2
- 20 ÷ 20 = 1
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Prime Factorization of 20
Prime factorization involves breaking down a number into its prime factors. For 20:
- 20 can be written as the product of 4 and 5.
- Since 4 is not a prime number, it can be further factored into 2 × 2.
- Therefore, the prime factorization of 20 is 2 × 2 × 5, which can be written as 22×5
Examples
- To find the factors of 20 using the division method, simply divide 20 by potential factors and see if there is no remainder. If there is no remainder, the divisor is a factor.
- Using prime factorization, break 20 down into its prime components: 20=22×5
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Frequently Asked Questions
The factors of 20 include 1, 2, 4, 5, 10, and 20. Therefore, the sum of its factors is 1 + 2 + 4 + 5 + 10 + 20 = 42.
The prime factorization of 20 is 22 * 5.
The positive pair factors of 20 are (1, 20), (2, 10), and (4, 5).
The negative pair factors of 20 are (-1, -20), (-2, -10), and (-4, -5).
Yes, 1 is a factor of 20 because when 20 is divided by 1, the remainder is 0.