Download - Section 5.1 Factoring Numbers
Section 5.1Factoring Numbers
Factor
• When two or more numbers are multiplied, each of the numbers is a factor of the product.
–Example:
• 48 = 6 ● 8
6 and 8 are factors of 48
Factor Set
• The set of factors for a given number.
–Example:
• List all the positive pairs of factors of 48.
{1, 2, 3, 4, 6, 8, 12, 16, 24, 48}
Prime
• An integer greater than 1 that has no positive integral factor other than itself and 1.
–Example: 2, 3, 5, 7, 11, 13, 17,…
0 and 1 are neither prime nor composite!
2 is the only even prime number!
Prime Factorization
• Expressing a positive integer as a product of primes– Example: Write the prime factorization of 48.
48
6 8
3 2 4 2
2 2
48=24 ● 3
Common Factor
• A factor of two or more integers
–Example:• 5 is a common factor of 15 and 25
• 3 is a common factor of 6 and 18
Greatest Common Factor
• The common factor with the greatest coefficient and the greatest degree in each variable.– Example:
• Find the GCF of 66 and 90.