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 process of factorization is breaking a number down into smaller parts. Sometimes you are asked to list the factors, which are all the numbers that divide into a given number evenly, with no remainder. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.Sometimes you are asked to provide the prime factors which are the prime numbers that multiply to make the number. The prime factorization of 36 is 2 x 2 x 3 x 3."Prime Factorization" is finding which prime numbersmultiply together to make the original number.
Start with 2. Attempt to divide the number by 2. If it goes evenly, try again. Count the number of times 2 goes into the number. Repeat with 3, and then 5, 7, 11, etc., i.e. all the primes until the prime you are trying is greater than the square root of the number.
Since 62 is even, divide by 2. Since the result is prime, stop. 2 x 31 = 62
The prime factors of 42 are 2, 3 and 7
The square root of 729 is 27 and as a product of its prime factors in exponents it is 36
255 85,3 17,5,3 3 x 5 x 17 = 255
No, it is a prime number.
cuz it is
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.
First of all try with the smallest prime number, which is 2. Does 2 go into 24? Yes, 2 goes into 24 to give 12. So, 24 = 2 x 12. Now we have to check if 2 also goes into 12. 2 goes into 12 to give 6 i.e. 12 = 2 x 6 or 24 = 2 x 12 = 2 x 2 x 6. The process continues till the number can be evenly divided by a prime number. Now, 6 can be evenly divided by 2 to give 3. Since 3 is prime so factorization ends here. Prime factorization of 24 = 2 x 2 x 2 x 3.
1001 Divide by seven. 143,7 Divide by eleven. 13,11,7 Stop. 7 x 11 x 13 = 1001
The definition of the word algorithm is a set of rules for solving a problem in a finite number of steps, as for finding the greatest common divisor.