Which three of the following numbers are factors of 100? 2, 6, 20, 25, 45, 200
Understand the Problem
The question is asking to identify which three numbers from the provided list are factors of 100. The objective is to determine factors, which are the numbers that divide 100 without leaving a remainder.
Answer
The factors of 100 from the list are 2, 20, and 25.
Answer for screen readers
The three numbers that are factors of 100 are: 2, 20, and 25.
Steps to Solve
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List the numbers to check We need to determine if the following numbers are factors of 100: 2, 6, 20, 25, 45, 200.
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Check each number for divisibility A number $n$ is a factor of 100 if $100 \mod n = 0$. We will check each number:
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For 2: $$ 100 \mod 2 = 0 $$ 2 is a factor.
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For 6: $$ 100 \mod 6 = 4 $$ 6 is not a factor.
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For 20: $$ 100 \mod 20 = 0 $$ 20 is a factor.
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For 25: $$ 100 \mod 25 = 0 $$ 25 is a factor.
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For 45: $$ 100 \mod 45 = 10 $$ 45 is not a factor.
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For 200: $$ 100 \mod 200 = 100 $$ 200 is not a factor.
- Identify the factors From our tests, the numbers that are factors of 100 are 2, 20, and 25.
The three numbers that are factors of 100 are: 2, 20, and 25.
More Information
Factors are numbers that divide another number completely without leaving a remainder. Understanding factors is fundamental in number theory and can be useful in simplifying fractions and finding greatest common divisors.
Tips
Common mistakes include:
- Assuming that a number is a factor simply because it is smaller than 100. Always perform the modulus check.
- Not checking every number in the given list.
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