Download presentation

Presentation is loading. Please wait.

Published byHalie Horn Modified over 2 years ago

1
MATHCOUNTS TOOLBOX Facts, Formulas and Tricks

2
Lesson 9: Finding the Sum of the Factors of a Number

3
Example: What is the sum of the factors of 10,500?

4
From the prime factorization 2 2 x 3 1 x 5 3 x 7 1, we know 10,500 has 3 x 2 x 4 x 2 = 48 factors.

5
The sum of these 48 factors can be calculated from the prime factorization, too:

6
(2 0 + 2 1 + 2 2 )(3 0 + 3 1 )(5 0 + 5 1 + 5 2 + 5 3 )(7 0 + 7 1 )

7
(2 0 + 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.

8
Fini!

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google