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Chapter 1: Problem 3

Determine two prime numbers between 50 and 60 .

Short Answer

Expert verified
Answer: The two prime numbers between 50 and 60 are 53 and 59.

Step by step solution

01

Start with the first number in the range

Begin by checking the first number in the given range, which is 50.
02

Test for divisibility

Check if 50 has divisors other than 1 and itself (50). 50 has more divisors, such as 2, 5, 10, and 25, so 50 is not a prime number.
03

Move on to the next number

Continue by checking the next number in the range, which is 51.
04

Test for divisibility

Check if 51 has divisors other than 1 and itself (51). 51 has divisors 3 and 17, so 51 is not a prime number.
05

Repeat the process

Continue checking each number in the range (52, 53, 54, 55, 56, 57, 58, and 59).
06

Identify prime numbers

After testing all the numbers in the range, we find that 53 and 59 are the only prime numbers between 50 and 60. They have no divisors other than 1 and themselves.

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Most popular questions from this chapter

Determine whether each of the following numbers is prime or composite. In each case, give a reason for your answer. a. 35 b. 31 c. 51
Six students purchase seven 5 -packs of report covers to distribute equally among themselves. a. Determine the total number of report covers to be distributed. b. How many report covers will each student receive? c. Set the calculation up as a long division and divide. d. Identify the divisor and the dividend. What is the quotient? What is the remainder, if any? e. Are there any report covers left over? f. Do this problem again using repeated subtraction.
Multiply vertically. Verify your answer using a calculator. a.$$\begin{array}{r} 34 \\\ \times \quad 4 \\\ \hline \end{array}$$ $$\text { b. } \begin{array}{r} 529 \\\ \times \quad 8 \\\ \hline \end{array}$$ c.$$\begin{array}{r} 67 \\\ \times \quad 5 \\\ \hline \end{array}$$ d.$$\begin{array}{r} 807 \\\ \times \quad 9 \\\ \hline \end{array}$$ e.$$\begin{array}{r} 125 \\\ \times \quad 8 \\\ \hline \end{array}$$ f.$$\begin{array}{r} 2001 \\\ \times \quad 25 \\\ \hline \end{array}$$ g.$$\begin{array}{r} 75 \\\ \text { g. } \times 52 \\\ \hline \end{array}$$ h$$\begin{array}{r} 1967 \\\ \times \quad 105 \\\ \hline \end{array}$$
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