Divisibility and Factors
Is 14 divisible by 2,3,5,9,10, or none?
2
Simplify 25
32
Is 38 prime, composite, or neither? If composite write the prime factorization.
composite
2*19
(3x^2)/(45x)
x/15
Remainder equals zero when dividing
divisible
Used to show repeated multiplication
exponent
Is 127 divisible by 2,3,5,9,10, or none?
none
Simplify 4(6-12)2
144
Is 117 prime, composite, or neither? If composite write the prime factorization.
composite
3^2 *13
(100pq)/(625q)
(4p)/25
The integer with an exponent
base
Two fractions that show the same piece of a whole
equivalent fractions
List all the positive factors of 46.
1,2,23,46
Evaluate x2 for x= -7
49
Find the GCD
8, 12, 18
2
Simplify
8a^2*3a^4
24a^6
Integer with more than two positive factors
composite number
simplest form
both the numerator and the denominator have no factors in common other that one
List all the positive factors of 92.
1,2,4,23,46,92
Evaluate -x3 for x= -3
27
Find the GCD
5xy3, 40x3y, 25x2y5
5xy
Simplify
(p5)6
p30
prime number
integer with exactly two positive factors
power
the base and the exponent
Factor
Divides into another integer with a remainder of zero.
-74
-2401
Multiply and write in scientific notation
(5x107)(3.6x103)
1.8x1011
(6x^2)/(2x^5)
3x-3 or
3/x^3
GCD
largest factors that are the same for two or more numbers or expressions
prime factorization
writing a composite number as the product of its prime factors