Chapter 4: Q14. (page 174)
Write the prime factorization of the number.
39
Short Answer
The prime factorization of 39 is
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Chapter 4: Q14. (page 174)
Write the prime factorization of the number.
39
The prime factorization of 39 is
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Write the prime factorization of the number.
217
Tell whether the number is prime or composite.
18
Write all the factors of the number.
30
In the future, scientists may want to make a unit of time that is convenient for people living on both Earth and Mars. The new unit of time, called the space-hour, should divide evenly into the number of minutes in each planet’s day. Under the current Earth definition of minutes, Earth has 1440 minutes per day, and Mars has approximately 1480 minutes per day.
a. Analyze What is the greatest number of minutes that could be in a space- hour?
b. Apply How many space-hours would there be each day on Earth? On Mars?
c. A spacecraft that uses current technology can take 210 days to travel from Earth to Mars. Use a calculator to find how long this trip would be in space-hours.
Conjecture The square of an integer is called a perfect square. Write the prime factorizations, with exponents, for these perfect squares: 4, 9,16, 25, 36, and 64. Make a conjecture about the exponents in the prime factorization of a perfect square.
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