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Chapter 4: Q2. (page 174)
Explain why 34 is a composite number.
Since 34 has more factors other than 1 and 34, so it is a composite number.
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Tell whether the number is prime or composite.
141
Challenge What is the least whole number that has exactly 7 factors, including 1 and itself? Explain your answer.
Write the prime factorization of the number.
202
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鈥檚 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.
Art Supplies To celebrate a grand opening, the owner of an art supplies store is making free gift bags for customers. The owner has 225 pastel crayons, 75 paintbrushes, and 120 tubes of oil paint. Each gift bag must be identical. What is the greatest number of gift bags the owner can make?
1) Write the prime factorization of each number.
2) What are the common prime factors of the numbers? What is the GCF of the numbers?
3) What does the GCF represent in this situation?
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