A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself, such as 2, 3, 5, or 7. We continue the process by dividing 30 by 2 again, which gives us 15.
Prime Factorization 60 Tree Method: Step-by-Step Visual Breakdown
Verification and Exponent Form Once the distinct prime factors are identified as 2, 2, 3, and 5, it is essential to verify the calculation by multiplying them back together. These numbers are not prime, so they are broken down further; 6 becomes 2 and 3, while 10 becomes 2 and 5.
Because prime numbers cannot be factored further, they serve as the fundamental building blocks for all other integers. One of the most common applications is in the calculation of the Greatest Common Factor (GCF) and the Least Common Multiple (LCM).
Prime Factorization 60 Tree Method: Step-by-Step Breakdown
You start by writing 60 at the top and drawing two branches for any factor pair, such as 6 and 10. At this stage, 15 is no longer divisible by 2, so we move to the next smallest prime number, which is 3.
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