
Prime Factors | Prime Factorization | Factor Tree
Prime Factors
The prime numbers among the factors of any number are
called prime factors of that number. For example 1, 2, 3, 4, 6, 12 are factors
of 12. Among them 2 and 3 are prime numbers. So, 2 and 3 are prime factors of
12.
Factors and prime factors are totally different. To be
a prime factor, factor must be a prime number, and any number which divide the
particular number is a factor of that number.
Prime Factorization
Resolving a number into the product of its all prime
factors is called the prime factorization. For example 12 = 2 × 2 × 3 is the
prime factorization of 12. We can find prime factors of any number by division
method or factor tree method.
Factor Tree Method
Factor Tree method for prime factorization of 12 is as
follows:
And, similar procedure is applied for other numbers for
prime factorization by factor tree method.
Division Method
Division method for prime factorization of 32 is as
follows:
And, similar procedure is applied for other numbers for
prime factorization by division method.
Workout Examples
Example 1: Factorize 180 by factor tree
method.
Solution: Here, factorizing 180 by factor tree method is as follows:
Example 2: Factorize 240 by division
method.
Solution: Here, factorizing 240 by division method is as follows:
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questions or problems regarding prime factors and factorization here.
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