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Prime factor decomposition Calculator

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Example
Created on 2024-06-20Asked by Abigail King (Solvelet student)
Find the prime factorization of the number 144.

Solution

To find the prime factorization of the number 144: 1. Start with the smallest prime number, which is 2, and divide 144 by it: 144÷2=72. 144 \div 2 = 72. 2. Repeat the process with the result: 72÷2=36. 72 \div 2 = 36. 3. Continue until you reach a prime factor: 36÷2=18,18÷2=9,9÷3=3. 36 \div 2 = 18, \quad 18 \div 2 = 9, \quad 9 \div 3 = 3. 4. Since 3 is a prime number, the process stops here. Therefore, the prime factorization of 144 is 24×32 2^4 \times 3^2 . Solved on Solvelet with Basic AI Model
Some of the related questions asked by Emma Hall on Solvelet
1. Express the number 72 as the product of its prime factors.2. Find the prime factorization of the number 210210.
DefinitionPrime factor decomposition is the act of decomposing a number in a product of its prime factors. This process helps to reduce fractions, get to the lowest common multiple and to be aggressive with your math skills. For example, we know that the prime factorization of 60 is #2^2cdot 3cdot5#.
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