Chapter 4

Divisibility and Factors

100

Is 36 divisible by 2,3,5,9,10, or none?

2, 3, 9

200

Is 1,009 divisible by 2,3,5,9,10, or none?

none

300

List all the positive factors of 27.

1,3,9,27

400

List all the positive factors of 112.

1,2,4,7,8,14,16,28,56,112

500

Factor

Divides into another integer with a remainder of zero. 

Simplify/ Evaluate

100

Simplify 3⁵

243

200

Simplify 7(3-6)²

63

300

Evaluate x³ for x= -7

-343

400

Evaluate -x²  for x= -3

-18

500

-9³

-729

Prime Factorization

100

Is 24 prime, composite, or neither? If composite write the prime factorization. 

composite 

2^3*3

200

Is 117 prime, composite, or neither? If composite, write the prime factorization. 

composite 

2^3 *17

300

Find the GCD

6, 27, 54

3

400

Find the GCD 

3x²y³, 48x³y², 15x²y⁵

3x²y²

500

Multiply and write in scientific notation

(5x10⁷)(3.6x10³)

  1.8x10¹¹

Simplest Form

100

(3x^3)/(18x)

x^2/6

200

(150r^2s)/(625rs^2)

(6r)/25s

300

Simplify

4a^3*6a^9

36a^12

400

Simplify

(z⁷)⁶

z⁴²

500

(12x^3)/(6x^6)

2x^-3 or 

2/x^3

Vocab

100

Remainder equals zero when dividing

divisible

200

The integer with an exponent

base

300

Integer with more than two positive factors

composite number

400

prime number

integer with exactly two positive factors

500

GCD

largest factors that are the same for two or more numbers or expressions

Vocab II

100

Used to show repeated multiplication

exponent

200

Two fractions that show the same piece of a whole

equivalent fractions

300

simplest form

both the numerator and the denominator have no factors in common other that one

400

power

the base and the exponent

500

prime factorization

writing a composite number as the product of its prime factors