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Learn to break down numbers into their prime factors
Learn step-by-step with practice exercises built right in.
A prime number is a whole number greater than 1 that has exactly two factors: 1 and itself.
Examples of prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...
Note: 2 is the only even prime number!
A composite number is a whole number greater than 1 that has more than two factors.
Examples: 4, 6, 8, 9, 10, 12, 14, 15, 16...
Prime factorization means writing a number as a product of prime numbers.
Example:
Find the prime factorization of 18.
Solution:
Using a factor tree:
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Prime factorization helps us:
So:
Answer:
Is 37 a prime number or composite number? Explain.
Solution:
Check if any prime numbers less than 37 divide it evenly:
Since no prime numbers divide 37 evenly, it has no factors other than 1 and 37.
Answer: 37 is a prime number
Find the prime factorization of 180.
Solution:
Using the division method:
So:
Answer: