Pierre Trudeau was prime minster of Canada for approximately 15 years. He died in the year 2000. The year of his birth is the product of 2 prime numbers. One of these prime numbers is the smallest 3 digit prime number. What is the sum of the digits that make up the year of his birth
Q. Pierre Trudeau was prime minster of Canada for approximately 15 years. He died in the year 2000. The year of his birth is the product of 2 prime numbers. One of these prime numbers is the smallest 3 digit prime number. What is the sum of the digits that make up the year of his birth
Identify Prime Number: Identify the smallest 3-digit prime number.The smallest 3-digit prime number is 101.
Find Birth Year Prime: Determine the other prime number needed to find the year of birth.Since Trudeau was born in the product of 101 and another prime number, and he died in 2000 after approximately 15 years as prime minister, we estimate his birth year around 2000−15=1985. We need to find a prime number that, when multiplied by 101, is close to 1985.
Calculate Approximate Prime: Calculate the approximate prime number. 1985 divided by 101 is approximately 19.65. The closest prime number to this is 19.
Calculate Product: Calculate the product of 101 and 19.101×19=1919.
Calculate Sum of Digits: Calculate the sum of the digits of the year 1919. 1+9+1+9=20.
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