Factors of 28
Introduction to Factors of 28
Factors are numbers that divide another number evenly without leaving a remainder. Understanding factors is crucial in mathematics for various operations like finding common factors and solving equations.
What are Factors of 28?
The factors of 28 are the positive integers that divide 28 without remainder. They are numbers that, when multiplied together, equal 28. Factors play a key role in mathematical operations such as finding the Greatest Common Factor (GCF) and the Least Common Multiple (LCM).
Also Check: Factors of 215
How to Calculate Factors of 28
There are several methods to find the factors of 28:
-
Division Method: Divide 28 by each positive integer up to its square root (approximately 5.3). If the division results in a whole number, then that integer is a factor.
- Divide 28 by 1: 28÷1=28 (Factor: 1)
- Divide 28 by 2: 28÷2=14 (Factor: 2)
- Divide 28 by 3: 28÷3=9 (Not a factor)
- Divide 28 by 4: 28÷4=7 (Factor: 4)
- Divide 28 by 5: 28÷5=5 (Not a factor)
Factors found: 1, 2, 4, 7, 14, 28.
-
Prime Factorization Method: Express 28 as a product of its prime factors.
- Prime factorization of 28: 2×2×7
- Factors derived: 1×2×2×7, 2×2×7, 4×7
Factors found: 1, 2, 4, 7, 14, 28.
-
Listing Method: Identify pairs of integers that multiply to 28.
- 1×28, 2×14, 4×7
Factors found: 1, 2, 4, 7, 14, 28.
Also Check: Factors of 144
Factors of 28 by Prime Factorization
The prime factors of 28 are 2 and 7. Combining these, we get the factors 1, 2, 4, 7, 14, and 28.
Factors of 28 in Pairs
Factors of 28 can be paired as follows:
- 111 and 282828: Multiply to 282828.
- 222 and 141414: Multiply to 282828.
- 444 and 777: Multiply to 282828.
Understanding these pairs is useful for operations like finding GCF and LCM.
Also Check: Factors of 150
Conclusion
Knowing the factors of a number like 28 is fundamental in mathematics, aiding in various calculations and problem-solving scenarios.
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Frequently Asked Questions on Factors of 28
28 has 6 factors.
The prime factorization of 28 is 2 * 2 * 7.
You can find the factors of 28 using the division method, prime factorization method, or listing method.
No, 28 cannot be expressed as the product of two prime numbers because its prime factorization is 2 * 2 * 7, which includes the composite number 2.
The common factors of 28 and 36 are 1, 2, 4, and 7.