The teacher wrote the three-digit number * * 8 he imagined on the board. Three students made two assumptions about the given number. Student 1: All digits are even and it has an even number of different prime factors. Student 2: It is a multiple of 9 and it is a perfect square. Student 3: It is less than 400 and it is 13 times greater than one perfect square. Which number did the teacher imagine if each student guessed just one assumption?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.7: Problem Solving: Consecutive Integers
Problem 14OE
icon
Related questions
Question

plz solve step by step

The teacher wrote the three-digit number ** 8 he imagined on the board. Three students made two assumptions about the given
number.
Student 1: All digits are even and it has an even number of different prime factors.
Student 2: It is a multiple of 9 and it is a perfect square.
Student 3: It is less than 400 and it is 13 times greater than one perfect square.
Which number did the teacher imagine if each student guessed just one assumption?
Transcribed Image Text:The teacher wrote the three-digit number ** 8 he imagined on the board. Three students made two assumptions about the given number. Student 1: All digits are even and it has an even number of different prime factors. Student 2: It is a multiple of 9 and it is a perfect square. Student 3: It is less than 400 and it is 13 times greater than one perfect square. Which number did the teacher imagine if each student guessed just one assumption?
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage