## Intermediate Book

### W S Sutton

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1892 edition. Excerpt: ...factors of 150 Find the prime factors of 190 Find the prime factors of 500 of 28; of each comof 40; of each comof 52; of each comof 65; of each com of 80; of each com of 100; of each com 11. 12. 13. 14. 15. Find the prime factors of 864; of 1 728. COMMON FACTORS. 16. Find the prime factors common to 30 and 42. Process. Prime factors of 30 = 2, 3, 5. Prime factors of 42 = 2, 3, 7. 1'rime factors common tu 30 and 42 = 2, 3. 17. What prime factors are common to 45 and 75? 18. What are the common prime factors of 30, 60, and 90? Of 50, 125, and 150? 19. What is the Highest Common Factor of 84 and 144? Process. Prime factors of 84 = 2, 2, 3, 7. Prime factors of 144 = 2, 2, 2, 2, 3, 3. The common prime factors = 2, 2, and 3. Highest Common Factor of 84 and 144 = the product of 2, 2, and 3 = 12. 20. Find the Highest Common Factor of 48 and 96: of 21, 49, and 98. 21. Find the H. C. F. of 60 and 195. Of 96 and 140. 22. Find the H. C. F. of 24, 30, 72, and 126. As a factor of a number is a divisor of that number, it follows that the Highest Common Factor of two or more numbers is their Greatest Common Divisor. 23. Find the Greatest Common Divisor of 45 and 165. 24. Find the G. C. D. of 176 and 220. 25. Find the G. C. D. of 72, 180, and 108. Ans. 36. 26. Find the G. C. D. of 26, 130, and 182. 27. Find the G. C. D. of 234 and 395. 28. Find the G. C. D. of 250, 750, and 1000. 29. Find the G. C. D. of 324, 504, and 864. Ans. 36. 30. Find the G. C. D. of 20, 70, 180, 250, and 300. Least Common Multiple. A Multiple of a number is the product of the given number and some other factor. A Common Multiple of two or more numbers is a multiple of which each of the numbers is a factor. The Least Common Multiple of two or more numbers is the least multiple of...