Class 10 Exam  >  Class 10 Questions  >  express each number as a product of its prime... Start Learning for Free
express each number as a product of its prime factors 3825
?
Most Upvoted Answer
express each number as a product of its prime factors 3825 Related: R...
¶¶ 3825= 3*3*5*5*17 ¶¶

¶¶ 3825 = 3² * 5² * 17 ¶¶

Thus, expressed!!!
Community Answer
express each number as a product of its prime factors 3825 Related: R...
To express 3825 as a product of its prime factors, we start by dividing it by the smallest prime number, which is 2. However, 3825 is not divisible by 2.

Next, we try dividing by the next prime number, which is 3. 3825 divided by 3 equals 1275.

We continue dividing by prime numbers until we can no longer divide evenly.

1275 divided by 3 equals 425.
425 divided by 5 equals 85.
85 divided by 5 equals 17.

Since 17 is a prime number, we cannot divide it further. Therefore, we have expressed 3825 as a product of its prime factors as:

3825 = 3 * 3 * 5 * 5 * 17
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
Explore Courses for Class 10 exam

Top Courses for Class 10

express each number as a product of its prime factors 3825 Related: Rational Numbers & Their Decimal Expansions?
Question Description
express each number as a product of its prime factors 3825 Related: Rational Numbers & Their Decimal Expansions? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about express each number as a product of its prime factors 3825 Related: Rational Numbers & Their Decimal Expansions? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for express each number as a product of its prime factors 3825 Related: Rational Numbers & Their Decimal Expansions?.
Solutions for express each number as a product of its prime factors 3825 Related: Rational Numbers & Their Decimal Expansions? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of express each number as a product of its prime factors 3825 Related: Rational Numbers & Their Decimal Expansions? defined & explained in the simplest way possible. Besides giving the explanation of express each number as a product of its prime factors 3825 Related: Rational Numbers & Their Decimal Expansions?, a detailed solution for express each number as a product of its prime factors 3825 Related: Rational Numbers & Their Decimal Expansions? has been provided alongside types of express each number as a product of its prime factors 3825 Related: Rational Numbers & Their Decimal Expansions? theory, EduRev gives you an ample number of questions to practice express each number as a product of its prime factors 3825 Related: Rational Numbers & Their Decimal Expansions? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev