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The prime factorization of a number is all of the prime numbers that make up a composite number. All composite numbers can be expressed as unique products of prime numbers. The factorization 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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The smallest prime number, of course, is 2. The smallest prime number whose digits add up to 2 is, of course, 2. The next-smallest is 11. It is left as an exercise for the reader to determine whether the other numbers whose digits add up to 2 (e.g. 101, 1001, 10001) are prime.
How about: 167+2 = 169
It's just like a factor tree, except the original number goes on the bottom and the factors go above it. 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 rainbow can help you visualize this. Follow the steps in order. Example: 210 7,5,3,2 (4.) Stop. All the factors are prime. 35,3,2 (3.) Divide by five. 105,2 (2.) Divide by three. 210 (1.) Divide by two. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210.
Assuming that "adds up to" means "its digits add up to" 888
No...read up on the Question: What is a Prime Number?
List the number at the bottom. Break it down into factors by placing them on successive lines above the original number. Stop when all the factors are prime. 7,5,3,2 35,3,2 105,2 210
Up to- 209 Down to- 214
To find the prime factorization of a number, divide the number by each prime number up to the greatest prime that will go into the number leaving no remainder.As an example, this is the process for factorization of 648:648/2=324324/2=162162/2=8181/3=2727/3=99/3=33/3=1Listing each divisor as a prime factor, the prime factorization of 648 is 2x2x3x3x3x3 (or 23x34 in exponential form).Keep dividing the original number by prime numbers until all the factors are prime. A large majority of the numbers you will encounter are multiples of 2, 3, 5 and/or 7. Start there.well first of all you need to know what prime factorization means: prime factorization is the process of decomposing a number into its constituent prime numbers; the calculation of all prime factors in a number. Step 1: write your number down and draw 2 diaganal lines down on each side no w you will need to find to factors that will multiply equally to get the number. say you had 10 the two numbers would be 2 * 5= 10, 2 is prime and 5 is prime so you cirle both of them and your prime factorization would be 10=2x5 and that is how you do prime factorization. EX. BELOW