Math Problem Statement
Solution
Let's solve these questions step by step.
Question 1: Find all multiples of 40 that lie between 310 and 410.
Multiples of 40 between 310 and 410 are:
- The first multiple of 40 greater than 310 is 320.
- Adding 40 repeatedly: 320, 360, 400.
Thus, the multiples of 40 between 310 and 410 are: 320, 360, and 400.
Question 2: Who am I?
a. I am a number less than 40. One of my factors is 7. The sum of my digits is 8.
- The factors of 7 under 40 are multiples of 7: 7, 14, 21, 28, 35.
- Now, check the sum of the digits:
- 7: (not 8)
- 14: (not 8)
- 21: (not 8)
- 28: (not 8)
- 35: .
Thus, the number is 35.
Question 3: I am a number less than 100. Two of my factors are 3 and 5. One of my digits is 2.
- A number with factors 3 and 5 must be a multiple of .
- Multiples of 15 under 100 are: 15, 30, 45, 60, 75, 90.
- Check which has a digit 2:
- 15: No 2.
- 30: No 2.
- 45: No 2.
- 60: No 2.
- 75: No 2.
- 90: No 2.
It seems there might be a mismatch in the question or no solution with the given conditions.
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Math Problem Analysis
Mathematical Concepts
Multiples and Factors
Basic Arithmetic
Formulas
Multiplication for finding multiples
Theorems
Basic properties of divisibility
Suitable Grade Level
Grades 5-7
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