For instance, when comparing the prime factors of 60 (2² × 3 × 5) with another number like 48 (2⁴ × 3), the GCF can be found by multiplying the lowest powers of shared primes, which in this case is 2² × 3, equaling 12. Since the prime number 2 appears twice, we write it as 2², leading to the compact expression 2² × 3 × 5.
Prime Factorization 60 Math Tips
The final result, read from the leaves, is 2, 2, 3, and 5, which visually confirms the multiplication path. Step-by-Step Calculation for 60 To find the prime factorization for 60, we typically begin by dividing the number by the smallest prime number possible, which is 2.
Finally, multiplying 12 by 5 correctly returns the original number of 60. We continue the process by dividing 30 by 2 again, which gives us 15.
Prime Factorization 60 Math Tips
This sequence of divisions confirms that the number is composed of the primes 2, 3, and 5. To express this result in standard mathematical notation, we use exponent form to consolidate repeated primes.
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More perspective on What is the prime factorization for 60 can make the topic easier to follow by connecting earlier points with a few simple takeaways.