What are the factors of 300?
Understand the Problem
The question is asking to find the factors of the number 300. Factors are the integers that can be multiplied together to produce the original number.
Answer
The factors of 300 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300.
Answer for screen readers
The factors of 300 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and 300.
Steps to Solve
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Identify possible factors Start by identifying all integers from 1 up to 300 that can potentially be factors of 300.
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Use division for factor testing To check if a number is a factor, divide 300 by that number. If the result is an integer (no remainder), then that number is a factor.
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List factors of 300 Begin testing numbers from 1 to 300. For example:
- Divide 300 by 1: $300 \div 1 = 300$ (1 is a factor)
- Divide 300 by 2: $300 \div 2 = 150$ (2 is a factor)
- Continue this process up to 300, listing all numbers that divide 300 evenly.
- Finish listing all factors Compile a complete list of all factors identified through division.
The factors of 300 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and 300.
More Information
Fun fact: The number 300 is known as a Harshad number, meaning it is divisible by the sum of its digits (3 + 0 + 0 = 3).
Tips
- Forgetting to check both smaller and larger factors; for example, if you find 10 is a factor, remember to also consider 30 since $300 \div 10 = 30$.
- Overlooking negative factors, as factors can also be negative. For example, $-1, -2, -3,...$ are also factors.
