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Unformatted text preview: ET, DLSUCET and USTET tips, tricks, news and other college entrance exam information, visit the Academic-Clinic website. Tell your friends and classmates to come find and join us. The more, the merrier. Good luck! AcademicAcademic Academic-Clinic.com The achiever’s guide to academic life and beyond… W ebsite: http://academic-clinic.com Facebook: http://www.facebook.com/academic.clinic Twitter: http://twitter.com/acadclinic College entrance exam and science high school entrance test tips. Conquer UPCAT, ACET, USTET, DLSUCET, PSHS-NCE, and other entrance tests. E x a m p l e . Find LCM for numbers: 168, 180 and 3024. S o l u t i o n . 168 = 2 · 2 · 2 · 3 · 7 = 23 · 31 · 71 , 180 = 2 · 2 · 3 · 3 · 5 = 22 · 32 · 51 , 3024 = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 7 = 24 · 33 · 71 . Write out the greatest powers of all prime factors: 24, 33, 51, 71 and multiply them: LCM = 24 · 33 · 5 · 7 = 15120 . Divisibility criteria Divisibility by 2. A number is divisible by 2, if its last digit is 0 or is divisible by 2. Numbers, which are divisible by 2 are called even numbers. Otherwise, numbers are called odd numbers. Divisibility by 4. A number is divisible by 4, if its two last digits are zeros or they make a two-digit number, which is divisible by 4. Divisibility by 8. A number is divisible by 8, if its three last digits are zeros or they make a three-digit number, which is divisible by 8. Divisibility by 3 and by 9 . A number is divisible by 3, if a sum of its digits is divisible by 3. A number is divisible by 9, if a sum of its digits is divisible by 9. Divisibility by 6. A number is divisible by 6, if it is divisible by 2 and by 3. Divisibility by 5. A number is divisible by 5, if its last digit is 0 or 5. Divisibility by 25. A number is divisible by 25, if its two last digits are zeros or they make a number, which is divisible by 25. Divisibility by 10. A number is divisible by 10, if its last digit is 0. Math I -6- Feel free to pass this on to your friends...
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