Math Problem Statement
Express 98 as a product of its prime factors
Solution
To express 98 as a product of its prime factors, follow these steps:
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Start by dividing 98 by the smallest prime number, which is 2: So, 98 can be written as:
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Next, factor 49. Since 49 is divisible by 7 (a prime number), we get:
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Now, we can express 98 as: or:
Thus, the prime factorization of 98 is .
Would you like more details on the factorization process, or any further questions?
Here are some related questions you might consider:
- What are the prime factors of 196?
- How would you find the prime factorization of 56?
- What is the prime factorization of 245?
- How do you check if a number is prime?
- What is the least common multiple (LCM) of 98 and 56?
Tip: Always begin by dividing a number by the smallest prime number and work upwards.
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Math Problem Analysis
Mathematical Concepts
Prime Factorization
Number Theory
Formulas
Prime factorization: n = p1^e1 * p2^e2 * ... * pk^ek
Theorems
Fundamental Theorem of Arithmetic
Suitable Grade Level
Grades 6-8