https://file.aiquickdraw.com/mathbot/file/1728665631287m906otjj.jpg

The problem asks for the number that has the prime factorization \( 5^2 \times 61 \).

To calculate the number, simply evaluate the expression:

\[
5^2 = 25
\]

Now, multiply \( 25 \times 61 \):

\[
25 \times 61 = 1525
\]

Thus, the number with the prime decomposition \( 5^2 \times 61 \) is **1525**.

Would you like further details on prime decompositions or factorization techniques? 

Here are some related questions to explore:
1. How do you find the prime factorization of a number?
2. What are the properties of prime numbers?
3. How does the Fundamental Theorem of Arithmetic relate to prime factorizations?
4. What methods can be used to find prime factors of larger numbers?
5. How is the Greatest Common Divisor (GCD) related to prime factorizations?

**Tip:** When dealing with prime factorizations, it's helpful to know the prime numbers up to a certain range (e.g., up to 100). This can make the factorization process quicker!

What number has the prime decomposition 5^2 × 61?

Learn how to calculate the number that has the prime decomposition 5^2 × 61. This problem covers prime factorization and basic multiplication. The solution is ideal for students in Grades 6-8, demonstrating the use of prime factors in number composition.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation