# MATHCOUNTS Toolbox Lesson 8 - Determining the Number of Factors of a Number  In this MATHCOUNTS Toolbox lesson, we will learn how to determine the number of factors of a given number. First, we

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## About MATHCOUNTS Toolbox Lesson 8 - Determining the Number of Factors of a Number

PowerPoint presentation about 'MATHCOUNTS Toolbox Lesson 8 - Determining the Number of Factors of a Number'. This presentation describes the topic on In this MATHCOUNTS Toolbox lesson, we will learn how to determine the number of factors of a given number. First, we. The key topics included in this slideshow are . Download this presentation absolutely free.

## Presentation Transcript

Slide1MATHCOUNTS TOOLBOX  Facts, Formulas and Tricks

Slide2Lesson 8:Determining the Number of Factors of a Number

Slide3First find the prime factorization(include the 1 if a factor is to the first power).

Slide4Increase each exponent by 1 andmultiply these new numbers together.

Slide5Example: How many factors does300 have?

Slide6The prime factorization of 300 is2 2  × 3 1  × 5 2  .

Slide7The prime factorization of 300 is2 2  × 3 1  × 5 2  . Increase each of the exponents by 1 and multiply these new values:

Slide8(2+1) × (1+1)× (2+1) = 3× 2× 3= 18.   So 300 has 18 factors.

Slide9Fini!