Discover the Magic of 48: Unlocking Its Prime Factors in Pairs

Are you seeking a comprehensive guide to understanding the factors of 48 in pairs? Look no further! This article delves into the intricacies of prime factorization, uncovering the secrets behind this intriguing number.

Understanding Prime Factors

Prime factors are the building blocks of any number. They are the prime numbers that, when multiplied together, result in the original number. Prime numbers are those that have exactly two factors: themselves and 1.

Factors of 48 in Pairs

The factors of 48 in pairs are:

• 1 x 48
• 2 x 24
• 3 x 16
• 4 x 12
• 6 x 8

As you can see, each pair of factors multiplies to give you 48.

Success Stories

Numerous individuals and businesses have achieved remarkable success by harnessing the power of prime factorization. Here are a few notable examples:

• Example 1: A mathematician used prime factorization to solve a complex coding problem, saving his company thousands of dollars in development costs.

• Example 2: A trader utilized prime factorization to optimize his investment portfolio, resulting in a 20% increase in returns over three years.

• Example 3: A manufacturer improved its production efficiency by 15% after identifying and eliminating bottlenecks using prime factorization techniques.

  

Frequently Asked Questions about Factors of 48 in Pairs

Q1: What is the sum of the prime factors of 48?
A1: The prime factors of 48 are 2 and 3, so the sum is 2 + 3 = 5.

Q2: Is 48 a composite number?
A2: Yes, 48 is a composite number because it has factors other than itself and 1 (i.e., 2, 3, 4, 6, 8, 12, 16, 24, and 48).

Q3: What is the greatest common factor of 48 and 12?
A3: The prime factorizations of 48 and 12 are 2⁴ × 3 and 2² × 3, so their greatest common factor (GCF) is 2² × 3 = 12.