Chapter 3

Find the greatest common factor (GCF) of the numbers. \(24,30,\) and 45

Find the prime factorization of each whole number. 61

Use a calculator to find each value. \(6,053^{3}\)

Write the expressions using exponential notation. \(\underbrace{1 \cdot 1 \cdots \cdots 1}_{3,008 \text { factors of }}\)

Write all the divisors of 18 .

Determine the value of each power and root. \(\sqrt[4]{0}\)

Find the least common multiple of the numbers. 5 and 6

Find the greatest common factor (GCF) of the numbers. \(175,225,\) and 400

Find each value. Check each result with a calculator. \(2+3 \cdot(8)\)

Expand the terms. (Do not find the actual value.) \(5^{3}\)

Does 7 divide into \(5^{2} \cdot 6^{3} \cdot 7^{4} \cdot 8 ?\) Explain.

Determine the value of each power and root. \(\sqrt[6]{64}\)

Find the least common multiple of the numbers. 7 and 8

Find the greatest common factor (GCF) of the numbers. \(210,630,\) and 182

Determine the missing factor(s). \(20=4\) ______.

Find each value. Check each result with a calculator. \(18+7 \cdot(4-1) \)

Expand the terms. (Do not find the actual value.) \(7^{4}\)

Is 3 a factor of \(2^{6} \cdot 3^{2} \cdot 5^{3} \cdot 4^{6} ?\) Explain.

Use the order of operations to determine each value. $$2^{3}-2 \cdot 4 $$

Find the least common multiple of the numbers. 3 and 4

Find the greatest common factor (GCF) of the numbers. \(14,44,\) and 616

Determine the missing factor(s). \(36=9\) ______.

Find each value. Check each result with a calculator. \(3+8 \cdot(6-2)+11\)

Expand the terms. (Do not find the actual value.) \(15^{2}\)

Does 13 divide into \(11^{3} \cdot 12^{4} \cdot 15^{2} ?\) Explain.

Use the order of operations to determine each value. $$5^{2}-10 \cdot 2-5$$

Find the least common multiple of the numbers. 2 and 9

Find the greatest common factor (GCF) of the numbers. \(1,617,735,\) and 429

Determine the missing factor(s). \(42=21\) ______.

Find each value. Check each result with a calculator. \(1-5 \cdot(8-8)\)

Expand the terms. (Do not find the actual value.) \(117^{5}\)

Find the least common multiple. 432 and 180

Use the order of operations to determine each value. $$\sqrt{81}-3^{2}+6 \cdot 2$$

Find the least common multiple of the numbers. 7 and 9

Find the greatest common factor (GCF) of the numbers. \(1,573,4,862,\) and 3,553

Determine the missing factor(s). \(44=4\) ______.

Find each value. Check each result with a calculator. \(37-1 \cdot 6^{2}\)

Find the least common multiple. 28,40 , and 95

Use the order of operations to determine each value. $$15^{2}+5^{2} \cdot 2^{2}$$

Find the least common multiple of the numbers. 28 and 36

Find the greatest common factor (GCF) of the numbers. \(3,672,68,\) and 920

Determine the missing factor(s). \(38=2 .\) ______.

Find each value. Check each result with a calculator. \(98 \div 2 \div 7^{2}\)

Expand the terms. (Do not find the actual value.) \(30^{2}\)

Use the order of operations to determine each value. \(3 \cdot\left(2^{2}+3^{2}\right)\)

Find the greatest common factor (GCF) of the numbers. \(7,2,401,343,16,\) and 807

Find the least common multiple of the numbers. 24 and 36

Find each value. Check each result with a calculator. \(\left(4^{2}-2 \cdot 4\right)-2^{3}\)

Determine the value of each of the powers. Use a calculator to check each result. \(3^{2}\)

Use the order of operations to determine each value. \(64 \cdot\left(3^{2}-2^{3}\right)\)