All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this.
Example: 210
210 Divide by two.
105,2 Divide by three.
35,3,2 Divide by five.
7,5,3,2 Stop. All the factors are prime.
2 x 3 x 5 x 7 = 210
That's the prime factorization of 210.
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All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this.
Example: 210
210 Divide by two.
105,2 Divide by three.
35,3,2 Divide by five.
7,5,3,2 Stop. All the factors are prime.
2 x 3 x 5 x 7 = 210
That's the prime factorization of 210.
The prime factors of a squared number are the prime factors, if any, of its square root.
The prime factors of 87 are 3 x 29
Prime factorization is when you find all the prime factors of a number.
prime numbers
The prime factors of 18 are 2 and 3.To find the prime factors of 18, find any two factors of 18, such as 2 and 9.2 X 9 = 18Since 2 is a prime number, find two factors of 9, but don't drop the 2.2 X 3 X 3 = 18.Since 2 and 3 are both prime numbers, 2 X 3 X 3 is the prime factorization of 18.2 and 3 are prime.