# 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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## Presentation Transcript

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!