What can 63 be divided by?
Understand the Problem
The question is asking for the factors or divisors of the number 63. This means we need to identify all the whole numbers that can divide 63 without leaving a remainder.
Answer
The factors of 63 are $1, 3, 7, 9, 21, 63$.
Answer for screen readers
The factors of 63 are: $1, 3, 7, 9, 21, 63$.
Steps to Solve
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Identify Whole Numbers to Check
To find the factors of 63, we start checking whole numbers beginning from 1 up to 63. However, we only need to check up to the square root of 63, which is approximately 7.94. We can check whole numbers 1 through 7. -
Check Each Number
For each whole number from 1 to 7, we will perform division. If the result is a whole number, then that number is a factor of 63.- For $1$: $63 \div 1 = 63$ (a factor)
- For $2$: $63 \div 2 = 31.5$ (not a factor)
- For $3$: $63 \div 3 = 21$ (a factor)
- For $4$: $63 \div 4 = 15.75$ (not a factor)
- For $5$: $63 \div 5 = 12.6$ (not a factor)
- For $6$: $63 \div 6 = 10.5$ (not a factor)
- For $7$: $63 \div 7 = 9$ (a factor)
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List All Found Factors
The factors we identified from the divisions are $1, 3, 7, 9, 21, 63$. Thus, the complete list of factors includes the pairs we derived from each valid division:
- $1$ and $63$
- $3$ and $21$
- $7$ and $9$
Combining these, we can summarize the factors of 63.
The factors of 63 are: $1, 3, 7, 9, 21, 63$.
More Information
63 is a composite number, which means it has factors other than just 1 and itself. This problem illustrates the concept of factorization, an essential skill in arithmetic and algebra.
Tips
- Failing to identify all factor pairs can lead to incomplete answers. Always check both sides of the division.
- Confusing prime numbers and factors. Remember that not all factors are prime.
