YES!!!
Always use Prime number when dividing down to find the factors of a number.
e.g.
Find the factors of '51'
Since '2' is the lowest prime , use '2' . However, '51' is not an even number so cannot use '2'
So try the next prime number '3'.
3)51 = 17
Since '17' is a prime number divide into itself
17)17 = 1 When reduced to '1' , you have all the prime number factors. In this case '3' & '17'.
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In all but the topmost branch, they're mandatory. it doesn't make sense to put a prime number at the top of a tree, since prime numbers don't have prime factorizations. The only prime factor of a prime number is the number itself, so the tree doesn't have anywhere to go.
Since prime numbers only have one prime factor (themselves), factor trees are unnecessary.
'13' is a prime number, so there is no factor tree. However, to test , we can say 13)13 = 1 When reduced to '1' the factoring is complete. Prime numbers are 2,3,5,7,11,13,17,19,23,29.... This goes to infinity, however, the above list is primes to '30'.
44 11.4 11,2,2
44 22,2 11,2,2
You break down the factors of a number until all the factors are prime. For example: 24 / \ 6 4 / \ 3x2 x 2x2 This factor tree was very easy, but there will be harder ones in the future. When all the numbers at the bottom of the tree are prime, you are finished. Factor trees may also be used to find the prime factorization of a number. PS: I'm sorry about the appearance of the tree. Once I published it, it became, and stayed that way. Real factor trees don't look like this. 24 is broken down into 6x4, because they are the factors. Since 24 is composite, you do not have to use 6x4. Then we break 6 into 3x2, and 4 into 2x2. Then 3x2x2x2 is a prime factorization. And you are also done with the factor tree!