New Scientist’s Brain Twister 6: Factor Factory

<p>The factors of 12 are 1, 2, 3, 4, 6 and 12. It has four even factors and two odd factors, so two-thirds of its factors are even.</p> <p><strong>Questions:</strong></p> <p>(1) What fraction of the factors of 8 are even?</p> <p>(2) How many whole numbers between 1 and 100 have the property that exactly half of their factors are even?</p> <p>(3) How many whole numbers between 1 and 1 million have the property that exactly one-third of their factors are divisible by 3?</p> <p><a href="https://medium.com/@shelvia1039/new-scientists-brain-twister-6-factor-factory-8cf19444ee09"><strong>Learn More</strong></a></p>