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.
Prime numbers are used to find the product of the prime factors of composite numbers.
Both of these will work:48 = 2 x 2 x 2 x 2 x 348 = 24 x 3
3*5*11
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.
23 x 33 = 216
The fundamental theorem of arithmetic says any integer can be factored into a unique product of primes. The is the prime factored form.
As a product of its prime factors: 2*3*7 = 42
Prime numbers are used to find the product of the prime factors of composite numbers.
Both of these will work:48 = 2 x 2 x 2 x 2 x 348 = 24 x 3
As a product of its prime factors: 5^3 times 13 = 1625
3*5*11
23 x 33 = 216
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.
2 x 3 x 5
289 = 17 x 17
It is 23 and 1 because 23 is a prime number
2*3*3*5 = 90