MATHCOUNTS TOOLBOX Lesson 9 - Finding the Sum of the Factors of a Number
This lesson teaches students how to find the sum of the factors of a number using the prime factorization method. An example is given
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About MATHCOUNTS TOOLBOX Lesson 9 - Finding the Sum of the Factors of a Number
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Slide1MATHCOUNTS TOOLBOX Facts, Formulas and Tricks
Slide2Lesson 9:Finding the Sum of the Factors of a Number
Slide3Example: What is the sum of the factors of 10,500?
Slide4From the prime factorization2 2 x 3 1 x 5 3 x 7 1 , we know 10,500 has 3 x 2 x 4 x 2 = 48 factors.
Slide5The sum of these 48 factors canbe calculated from the prime factorization, too:
Slide6(20 + 2 1 + 2 2 )(3 0 + 3 1 )(5 0 + 5 1 + 5 2 + 5 3 )(7 0 + 7 1 )
Slide7(20 + 2 1 + 2 2 )(3 0 + 3 1 )(5 0 + 5 1 + 5 2 + 5 3 )(7 0 + 7 1 ) = 7 × 4 × 156 × 8 = 34,944.
Slide8Fini!
