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Mathemania

Mathemania. Math 170 – Chapter 5. Misc Math. Prime. Composite. GCF. LCM. 10. 10. 10. 10. 10. 20. 20. 20. 20. 20. 30. 30. 30. 30. 30. 40. 40. 40. 40. 40. 50. 50. 50. 50. FINAL. Primes. 10 Point Question. What is the smallest prime number?. 2. Check Work.

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Mathemania

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  1. Mathemania Math 170 – Chapter 5 Misc Math Prime Composite GCF LCM 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 FINAL

  2. Primes

  3. 10 Point Question What is the smallest prime number? 2 Check Work Go Home

  4. 20 Point Question Is 209 prime? No. 209=11*19 Check Work Go Home

  5. 30 Point Question Find the prime factorization of 2008. 2*2*2*251 Check Work Go Home

  6. 40 Point Question What is the fundamental theorem of arithmetic? Any number can be written uniquely as the product of primes Check Work Go Home

  7. 50 Point Question Find the prime factorization of 140. 2*2*5*7 Check Work Go Home

  8. Composite

  9. 10 Point Question What is the smallest composite number? Four. Check Work Go Home

  10. 20 Point Question Is the 36 digit number consisting only of 4’s divisible by 3? Here is the number: 444,444,444,444,444,444,444,444,444,444,444,444 Yes. The sum of the digits will be 144, and 144 is divisible by 3. Check Work Go Home

  11. 30 Point Question How can you tell if a number is divisible by 6? It is divisible by both 2 and 3 Check Work Go Home

  12. 40 Point Question Suppose that 24|b. What else must divide b? 1, 2, 3, 4, 6, 8, and 12 Check Work Go Home

  13. 50 Point Question Show that if a|b and a|c, then a|(b+c). Since a|b, b can be made out of rods of length a. Since a|c, c can also be made out of rods of length a. By putting these two together, you get b+c, which can also me made of rods of length a. Thus a divides (b+c) a a a a a a a a c b Check Work Go Home

  14. GCF

  15. 10 Point Question List all the factors of 42 1, 2, 3, 6, 7, 14, 21, 42 Check Work Go Home

  16. 20 Point Question Use prime factorization to find the GCF of 12 and 30. 12 = 2*2*3 30 = 2*3*5 Primes in common: 2& 3. GCF = 2*3=6 Check Work Go Home

  17. 30 Point Question Use the subtraction method to find the GCF of 75 and 120. GCF(75,120) = GCF(75,45)= GCF(30,45) = GCF(15,30) = GCF(15,15) = 15. Check Work Go Home

  18. 40 Point Question Joe the Baker baked up 84 spice cookies and 90 sugar cookies. Joe is planning on selling the cookies in trays. Each tray should contain only one type of cookie, and each tray, regardless of the type should contain the same number of cookies. Joe wants to use the least number of trays. How many cookies should he put on each tray? 6 cookies per tray Check Work Go Home

  19. 50 Point Question Find the GCF of these three numbers: 2*2*2*3*3*5*7*11 2*2*3*3*3*7*11*17*19 2*2*2*2*3*5*7*11*19*23 2*2*3*7*11 Check Work Go Home

  20. LCM

  21. 10 Point Question List the first 6 multiples of 7. 7, 14, 21, 28, 35, 42 Check Work Go Home

  22. 20 Point Question Carol is laying down rods that are 8 units long. Mike is laying down rods that are 6 units long. If they both started at the same place, when will the ends of their rods line up again? When they each have reached a length of 24 units. Check Work Go Home

  23. 30 Point Question Find the LCM of 48 and 40 using the prime factorization of each number. 240 Check Work Go Home

  24. 40 Point Question Juan will only by a CD if it has exactly 14 songs on it. Marty will buy a CD only if it has exactly 12 songs on it. If they have the same number of songs in their collection, what is the fewest number of CD’s each owns? Juan owns 6, Marty owns 7. They both have 84 songs in their collection. Check Work Go Home

  25. 50 Point Question Find the LCM of the following numbers 2*2*2*3*3*5*7*11 2*2*3*3*3*7*11*17*19 2*2*2*2*3*5*7*11*19*23 2*2*2*2*3*3*3*5*7*11*17*19*23 Check Work Go Home

  26. Misc. Math

  27. 10 Point Question Which property of addition does the following demonstrate? (a + b) + c = a +(b + c) The Associative Property of Addition. Check Work Go Home

  28. 20 Point Question Explain how to do the following problem using mental math. 21X36 + 21X64 Use the distributative property to make it 21X(36+64) Add the compatible numbers, then multiply to get 2100. Check Work Go Home

  29. 30 Point Question Use the range method to get estimates for 236+153. Low: 300, high 500. Check Work Go Home

  30. 40 Point Question Explain how to use the compensation method to find 248+296. I would take 4 from the 248 and add it to the 296 so the sum becomes 244 + 300 = 544. I guess you could also take 2 from the 296 and add it to the 248 so the problem becomes 250 + 294, but my way results in an easier sum. Check Work Go Home

  31. Final Question Most numbers have an even number of factors. For example, there are 6 numbers that evenly divide into 12 (1, 2, 3, 4, 6, & 12), 4 numbers that divide evenly into 15 (1, 3, 5, & 15) and only 2 numbers that divide into 19. What is special about numbers with an odd number of factors? They are perfect squares. For example, 36 has 9 factors: 1, 2, 3, 4, 6, 9, 12, 18, 36 Check Work Go Home

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