Math Problem Statement
Express 882 as a product of its prime factors. Give your answer in index form.
Solution
To express 882 as a product of its prime factors and provide the answer in index form, we will first perform prime factorization.
Step 1: Start by dividing 882 by the smallest prime number (2).
Step 2: Now factorize 441 by the next smallest prime (since 441 is odd, divide by 3).
Step 3: Factorize 147 by 3 again.
Step 4: Factorize 49 by 7 (since 49 is ).
Prime Factorization of 882:
Thus, the prime factorization of 882 in index form is:
Would you like further details on prime factorization or any related topics?
Here are 5 questions to expand your understanding:
- How can you verify the prime factorization of any number?
- What are the steps to perform prime factorization on a large number?
- Why are prime factorizations important in number theory?
- What is the difference between index form and standard form of a number?
- How can prime factorization be used to find the greatest common divisor (GCD) of two numbers?
Tip: Always start with the smallest prime (2) when doing prime factorization.
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Math Problem Analysis
Mathematical Concepts
Prime Factorization
Exponents
Formulas
Prime Factorization: dividing by smallest primes
Index form: using exponents for repeated prime factors
Theorems
Fundamental Theorem of Arithmetic
Suitable Grade Level
Grades 7-9