- Which of the whole numbers, and
10, could be at the top of this factor tree?
?
Prime Prime
number number- Fill in the blanks to prime factor 150 using a division
ladder.
The prime factorization of 150 is- a. When using the division ladder method to find the
prime factorization of a number, what is the first
divisor to try?
b. If 2 does not divide the given number exactly, what
other divisors should be tried?
NOTATION- For each exponential expression, what is the base and
the exponent?
a. b. - Consider the expression
a. How many repeated factors of 2 are there?
b. How many repeated factors of 3 are there?
GUIDED PRACTICE
Find the factors of each whole number. List them from least to
greatest.See Example 1.- 10 22. 6
- 40 24. 75
- 18 26. 32
- 44 28. 65
- 77 30. 81
- 100 32. 441
Factor each of the following whole numbers using two factors.
Do not use the factor 1 in your answer.See Example 2.- 8 34. 9
- 27 36. 35
- 49 38. 25
- 20 40. 16
2 2 2 3 3.
76 151
.
150
(^3) 75
5
5
1, 2, 3, 4, 5, 6, 7, 8, 9, Factor each of the following whole numbers using three factors.
Do not use the factor 1 in your answer.See Example 2
- 30 42. 28
- 63 44. 50
- 54 46. 56
- 60 48. 64
Find the factors of each whole number.See Example 3.- 11 50. 29
- 37 52. 41
Determine whether each of the following numbers is a prime
number.See Example 4.- 17 54. 59
- 99 56. 27
- 51 58. 91
- 43 60. 83
Find the prime factorization of each number. Use exponents in
your answer, when it is helpful.See Examples 5 and 6.- 30 62. 20
- 39 64. 105
- 99 66. 400
- 162 68. 98
- 64 70. 243
- 147 72. 140
- 220 74. 385
- 102 76. 114
Write each product using exponents.See Example 7.Evaluate each exponential expression.See Example 8.- a. b. 86. a. b.
- a. b. 88. a. b.
- a. b. 90. a. b.
- a. 91 b. 19 92. a. 201 b. 120
73 37 82 28
25 52 45 54
34 43 53 35
6 6 6 5 5 6 6 6
7 7 7 9 9 7 7 7 7
4(4)(8)(8)(8) 12(12)(12)(16)
5 5 5 5 9 9 9
2 2 2 2 2 3 3 3 3 3 3
88 Chapter 1 Whole Numbers