Number Properties Puzzle – Challenge 20
Looking for maths puzzles with answers? If so, you are in the right place. The solution is beneficial when trying to solve a hard puzzle like this one.
[include_netrun_products_block from-products="product/ged-math-test-prep-in-30-days-complete-study-guide-and-test-tutor-for-ged-mathematics-the-ultimate-book-for-beginners-and-pros-two-practice-tests/" product-list-class="bundle-products float-left" product-item-class="float-left" product-item-image-container-class="p-0 float-left" product-item-image-container-size="col-2" product-item-image-container-custom-style="" product-item-container-size="" product-item-add-to-cart-class="btn-accent btn-purchase-ajax" product-item-button-custom-url="{url}/?ajax-add-to-cart={id}" product-item-button-custom-url-if-not-salable="{productUrl} product-item-container-class="" product-item-element-order="image,title,purchase,price" product-item-title-size="" product-item-title-wrapper-size="col-10" product-item-title-tag="h3" product-item-title-class="mt-0" product-item-title-wrapper-class="float-left pr-0" product-item-price-size="" product-item-purchase-size="" product-item-purchase-wrapper-size="" product-item-price-wrapper-class="pr-0 float-left" product-item-price-wrapper-size="col-10" product-item-read-more-text="" product-item-add-to-cart-text="" product-item-add-to-cart-custom-attribute="title='Purchase this book with single click'" product-item-thumbnail-size="290-380" show-details="false" show-excerpt="false" paginate="false" lazy-load="true"]
Challenge:
If n is a perfect cube number and n = 2700m, what is one possible value of m?
The Absolute Best Book to Challenge Your Smart Student!
The correct answer is 10.
Factorize 2700:
\(2700 = 2^2 × 3^3 × 5^2\)
The product of two perfect cube numbers is another perfect cube number. For example 8 and 27 are perfect cube numbers. The product of 8 and 27 is 216, which is another perfect cube number. (8 × 27 = 216 and \(6^3 = 216\))
To make 2700m a perfect cube number we need the product of 5 and 2.
\(2700 = 2^2 × 3^3 × 5^2\)
\(2700 × 10 = 2^3 × 3^3 × 5^3\), therefore, m = 10
The Absolute Best Books to Ace Algebra
Related to This Article
More math articles
- The Ultimate 6th Grade LEAP Math Course (+FREE Worksheets)
- How to Compare Fractions?
- Top 10 7th Grade STAAR Math Practice Questions
- How to Interpret STAAR Scores?
- How to Order Integers and Numbers? (+FREE Worksheet!)
- What Is a Passing Score on the CBEST Math?
- 8th Grade M-STEP Math Worksheets: FREE & Printable
- ATI TEAS 7 Math FREE Sample Practice Questions
- The Ultimate FTCE Math Formula Cheat Sheet
- How to Solve Real-World Puzzles: Division with Decimal Quotients

















What people say about "Number Properties Puzzle – Challenge 20 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.