1.2 Prime factorization

Prime factorization

A prime number is a whole number which can only be divided evenly by one or itself. Composite numbers are whole numbers that is not prime or has more than 2 factors. Prime factorization is a process that looks for prime factors of a number.

Lessons

Notes:
Factor : Numbers that can be multiplied together to give the original value
Ex: The factor of 15 is 5 & 3. Because 5×3=155 \times 3 = 15

Prime numbers : A whole number that has only "two" factors: 1 & itself.
Ex: 2,3,5,7,11,13,17…

Composite numbers : A Whole number that is not prime or has more than 2 factors.
Ex: 4,6,8…

Zero & One : They are neither primer nor composite

Factor Tree : A method of finding prime factors by using a tree diagram.
Ex: Prime factors of 18 = 2×3×3 2 \times 3 \times 3




Continuous
Division
: A method of finding prime factors by using a continuous division.
Ex: Prime factors of 72 = 2×2×2×3×3 2 \times 2 \times 2 \times 3 \times 3



  • 2.
    Determine if the numbers are prime or composite.
  • 3.
    What are the prime factors of the following numbers?
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Prime factorization

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