Finding a number given conditions on the digits

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SUMMARY

The integer sought in this discussion is a unique number that meets specific criteria: it is a multiple of 5, 3, and 7, meaning it is also a multiple of 105. The tens digit must be a square number, the hundreds digit a cube, and the hundreds thousands digit must be both a square and a cube. Additionally, the hundreds digit must be greater than the digits in the ones place. The discussion emphasizes the importance of demonstrating prior work to facilitate assistance from math helpers.

PREREQUISITES
  • Understanding of multiples and factors, specifically multiples of 105.
  • Knowledge of square and cube numbers.
  • Familiarity with digit placement in integers.
  • Basic problem-solving skills in mathematics.
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  • Research the properties of square and cube numbers.
  • Explore methods for finding multiples of a given number.
  • Learn about digit constraints in number theory.
  • Practice solving similar integer constraint problems.
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Masuda
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The question is:
There is only one integer that can be the to this problem.It is a multiple of five,three,seven.No digit occurs ore than once.Can you find the number? The digit in the tens place is a square number.The digit in the hundreds place is a cube.The digit in the hundreds thousands place is both a square and a cube.Only the digit in the hundreds place is larger than the digits in the ones place.

What is the integer?Do these criteria apply to both the negative and positive signs of that number?
 
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Hi. (Wave) Welcome to MHB. We ask that you post any of your work that you've tried to show some effort so it becomes easier for the math helpers to assist you in the problem. It becomes much easier for them to help when they know what you have tried and up to what level you understand the question.

Thank you and be sure to stick around :o
 

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