Prime Factorization/Factoring
Is the number 15 prime or composite?
Composite
Find the GCF of 12 and 18.
GCF = 6
Find the LCM of 6 and 10 using the method that lists the multiples.
6: 6, 12, 18, 24, 30, 36, 12, 48, 54, 60...
10: 10, 20, 30, 40, 50, 60...
LCM = 30
87 • 85
812
Write 3,200,000 in scientific notation.
3.2 x 106
Write all the factors of 32.
1, 2, 4, 8, 16, 32
Find the GCF of 24, 36, 60 by using the method that lists all the factors.
24: 1, 2, 3, 4, 6, 8, 12, 24
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
GCF = 12
Find the LCM using the prime factorization method.
6: 2 • 3
10: 2 • 5
LCM = 2 • 3 • 5 = 30
z8 ÷ z3
z5
Write 0.0007 in scientific notation.
7 x 10-4
Factor the monomial 3f6
3 • f • f • f • f • f • f
Find the GCF of 24, 36, 60 by using the prime factorization method.
24: 2 • 2 • 2 • 3
36: 2 • 2 • 3 • 3
60: 2 • 2 • 3 • 5
GCF = 2 • 2 • 3 = 12
Find the LCM of the monomials 9xy2 and 15x2y.
LCM = 45x2y2
3m5 • m2 / 6m3
m4 / 2
Write 8.69 x 105 in standard form.
869,000
Write the prime factorization of 120.
23 • 3 • 5
Are the numbers 35 and 54 relatively prime? (Must show work to prove yes or no)
35: 1, 5, 7, 35
54: 1, 2, 3, 6, 9, 18, 27, 54
GCF = 1. So yes, they are relatively prime.
What does LCD stand for?
Least Common denominator
Write the expression without using a fraction bar a2 / b3
a2b-3
Write 4.15 x 10-2 in standard form
0.0415
Factor the monomial 40m2n
23 • 5 • m • m • n
Find the GCF of the monomials 18xy2 and 28x2y2.
2xy2
Use the LCD to determine which fraction is greater 5/6 or 7/9
5/6.
Write the expression using only positive exponents
16x-6y
16y / x6
Which of these numbers are greater?
3.69 x 104
3.68 x 105
3.68 x 105