Divisibility and Factors
Is 36 divisible by 2,3,5,9,10, or none?
2, 3, 9
Simplify 35
243
Is 24 prime, composite, or neither? If composite write the prime factorization.
composite
2^3*3
(3x^3)/(18x)
x^2/6
Remainder equals zero when dividing
divisible
Used to show repeated multiplication
exponent
Is 1,009 divisible by 2,3,5,9,10, or none?
none
Simplify 7(3-6)2
63
Is 117 prime, composite, or neither? If composite, write the prime factorization.
composite
2^3 *17
(150r^2s)/(625rs^2)
(6r)/25s
The integer with an exponent
base
Two fractions that show the same piece of a whole
equivalent fractions
List all the positive factors of 27.
1,3,9,27
Evaluate x3 for x= -7
-343
Find the GCD
6, 27, 54
3
Simplify
4a^3*6a^9
36a^12
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 112.
1,2,4,7,8,14,16,28,56,112
Evaluate -x2 for x= -3
-18
Find the GCD
3x2y3, 48x3y2, 15x2y5
3x2y2
Simplify
(z7)6
z42
prime number
integer with exactly two positive factors
power
the base and the exponent
Factor
Divides into another integer with a remainder of zero.
-93
-729
Multiply and write in scientific notation
(5x107)(3.6x103)
1.8x1011
(12x^3)/(6x^6)
2x-3 or
2/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