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 factorization each number is a part of the whole
If completed correctly, the bottom branch of a factor tree will be the prime factorization of the number at the top.
ascending order
First, find the prime factorization of the number. For instance, with 45: 45 = 3 * 3 * 5 = 32 * 51 Now, from this prime factorization, any numbers whose prime factorizations do not include these factors is coprime to the number you have.
756 = 22 × 33 × 7
find the prime factorization to the number 81
prime factorization each number is a part of the whole
The prime factorization of 6 is 2 x 3.
Only 23 has prime factorization of 23.
The prime factorization of 15332 • 17153 is not a prime number
2x3x5
The prime factorization of the number 33 is: 3 x 11
The prime factorization of 4 is 2 x 2. It is not possible to find the LCM of a single number.
17,017
factor tree
Of a number? Need a better question. To find the prime factorization of a number, you divide the number until you can't divide and come out with a whole number. 56 would be divided into 2X2X2X7, or 2 cubed X 7.
Since 5 is a prime number, the prime factorization of 5 is simply 5.