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www.dummies.com/.../math/algebra/how-to-reduce-fractions-using-prime-factorization

The beauty of using prime factorization is that you can be sure that the fraction’s reduction possibilities are exhausted — you haven’t missed anything. You can leave the fraction in this factored form or go back to the simpler 100/243. It depends on your preference.

socratic.org/questions/how-do-you-find-the-prime-factorization-of-20

You can separate out each prime factor in turn as follows: #20# is divisible by #2# (i.e. even) since its last digit is even. So divide by #color(blue)(2)# to get #10#. #10# is divisible by #2# since its last digit is even. So divide by #color(blue)(2)# to get #5#.. #color(blue)(5)# is prime. So we can stop and write down #20# as the product of the primes we have found:

5 ÷ 5 = 1 - No remainder! 5 is one of the factors! The orange divisor(s) above are the prime factors of the number 240. If we put all of it together we have the factors 2 x 2 x 2 x 2 x 3 x 5 = 240. It can also be written in exponential form as 2 4 x 3 1 x 5 1. Factor Tree. Another way to do prime factorization is to use a factor tree.

www.onlinemathlearning.com/prime-factors.html

Scroll down the page for more examples and solutions of prime factorization. The prime factors of 36 are 2 and 3. We can write 36 as a product of prime factors: 2 × 2 × 3 × 3 . To find prime factors using the repetitive division, it is advisable to start with a small prime factor and continue the process with bigger prime factors.

math.wikia.org/wiki/Prime_factorization

Prime factorization is the process of separating a composite number into its prime factors. A prime factorization is equal to a number's prime factors multiplied to equal itself. For example, 24=12•2=6•2•2=3•2•2•2 3•2•2•2 is the prime factorization of 24, since the numbers multiply to 24, and are all prime numbers.

www.2dtx.com/prime/prime25.html

prime factorization calculator or integer factorization of a number is the determination of the set of prime integers which multiply together to give the original integer. It is also known as prime decomposition. Prime number are numbers that can divide without remainder, This means that 25 is divisible by 5, 5, numbers.

www.mathportal.org/calculators/numbers-calculators/prime-factorization...

Finding prime factorization and factor tree. Example: Find prime factorization of 60. Step 1: Start with any number that divides 60, in this we will use 10. So, $\color{blue}{60 = 6 \cdot 10}$.

The lcm of 20 and 30 is 60. Steps to find LCM. Find the prime factorization of 20 20 = 2 × 2 × 5; Find the prime factorization of 30 30 = 2 × 3 × 5; Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 2 × 2 × 3 × 5; LCM = 60; MathStep (Works offline)

factors-of.com/factor-tree/Factor-tree-for_20_

The number 20 is a composite number because 20 can be divided by 1, by itself and at least by 2 and 5. So, it is possible to draw its prime tree. The prime factorization of 20 = 2 2 •5. See its prime factors tree below.

And we're done with our prime factorization because now we have all prime numbers here. So we can write that 75 is 3 times 5 times 5. So 75 is equal to 3 times 5 times 5. We can say it's 3 times 25. 25 is 5 times 5. 3 times 25, 25 is 5 times 5. So this is a prime factorization, but they want us to write our answer using exponential notation.

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