In 1982, the mathematician Albert Wilansky, when phoning his brother-in-law, Mr. Smith, noticed an interesting property conceming Smith's phone number (483-7775). The number 4,937,775 is composite, and its prime factorization is 3-5-5-65,837. When the digits of the phone number are added, the result, 42, is equal to the sum of the digits in the prime factors since 3+5+5+6+5+8+3+7-42 Wiarsky termed a composite number with this property a Smith number There is one Smith number less than 10, and there are six less than 100, forty-nine less than 1000, and infinitely many altogether (proved in 1985). But there remain many unanswered question about them. The second through the tenth are 22, 27, 58, 85, 94, 121, 166, 202, and 265 Identify the least (first) Smith number. The least (first) Smith number is
In 1982, the mathematician Albert Wilansky, when phoning his brother-in-law, Mr. Smith, noticed an interesting property conceming Smith's phone number (483-7775). The number 4,937,775 is composite, and its prime factorization is 3-5-5-65,837. When the digits of the phone number are added, the result, 42, is equal to the sum of the digits in the prime factors since 3+5+5+6+5+8+3+7-42 Wiarsky termed a composite number with this property a Smith number There is one Smith number less than 10, and there are six less than 100, forty-nine less than 1000, and infinitely many altogether (proved in 1985). But there remain many unanswered question about them. The second through the tenth are 22, 27, 58, 85, 94, 121, 166, 202, and 265 Identify the least (first) Smith number. The least (first) Smith number is
Chapter2: The Language Of Algebra
Section2.5: Prime Factorization And The Least Common Multiple
Problem 315E: Do you prefer to find the prime factorization of a Composite number by using the factor tree method...
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