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Factors

Factors.

donaldmckenna
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Factors

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  1. Factors 􀀹 0506.2.2 Use the prime factorization of two whole numbers to determine the greatest common factor and the least common multiple.

  2. Factors • Factor: Any one of the numbers multiplied in a multiplication problem. • Factor: A whole number that divides another whole number without a remainder.

  3. Prime Numbers • A counting number greater than 1, whose only two factors are the number 1 and itself. • Examples: • 2: 1x2 • 3: 1x3 • 5: 1x5 • 7: 1x7 • 11: 1x11

  4. Composite Number • A counting number greater than 1 that is divisible by a number other than itself and 1. • Every composite number has at least three factors. • Every composite number can be expressed as a product of two or more prime numbers. • Examples: • 4: 1, 2, 4 • 6: 1, 2, 3, 6

  5. Greatest Common Factor (GCF) • The largest whole number that is a factor of two or more given numbers. • Example • 15: 1, 3, 5, 15 • 20: 1, 2, 4, 5, 10, 20 • What factors do 15 and 20 have in common? • 1 and 5 • Which one of the factors is greatest or largest? • 5, therefore 5 is the Greatest Common Factor

  6. Least Common Multiple (LCM) • The smallest whole number that is a multiple of two or more given numbers. • Reminder: A multiple is a product of a counting number and another number. • Example: The multiples of 3: 3, 6, 9, 12, 15, 18, 21, …

  7. LCM • Find the LCM of 4 and 6 • 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, … • 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, … • What multiples do 4 and 6 have in common? • 12, 24, 36 • Which is the least or smallest? • 12

  8. Your Turn • Find the Greatest Common Factor of 12 and 15. • 12: 1, 2, 3, 4, 6, 12 • 15: 1, 3, 5, 15 • The GCF of 12 and 15 is 3 • Find the Least Common Multiple of 6 and 8. • 6: 6. 12, 18, 24, 30, … • 8: 8, 16, 24, 32, 40, … • The LCM of 6 and 8 is 24

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