1
to help find prime factorizations of composite numbers
Many people find factor trees to be the easiest.
How do you find the first three common multiples of sets of numbers
To simplify fractions, it is necessary to divide the numerator and the denominator by their GCF. You can find their GCF by comparing their prime factorizations. You can find their prime factorizations through the use of factor trees.
If you construct them correctly, factor trees always work to determine the prime factorization of a number. Once you compare the prime factorizations of two or more numbers, it is relatively easy to find the greatest common factor of them from there.
16 8,2 4,2,2 2,2,2,2
The factor trees find the prime factorizations. The prime factorizations find the GCF. The GCF simplifies the fraction. 150 75,2 25,3,2 5,5,3,2 225 75,3 25,3,3 5,5,3,3 The GCF is 75 150/225 = 2/3
No, factor trees are intended to find prime factors, 1 isn't prime. The process of factoring is intended to break down the number. Since factoring out 1 still leaves the original number, it isn't useful.
You do a factor rainbow to find a prime factorization. You compare prime factorizations to find a greatest common factor.
Factor trees are intended to find prime factors, one isn't prime. The process of factoring is intended to break down the number. Since factoring out one still leaves the original number, it isn't useful.
To find a prime factorization, divide a composite number and its factors by prime numbers until all the factors are prime. Many people find factor trees helpful in visualizing this process. 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 is the prime factorization of 210.