Digits and Divisibility - Practice

39 Topics, 3 Skills

Digit Solving - Ones Digit in Exponents (Small Base) - From Multiplication

Topic 1

Digit Solving - Ones Digit in Exponents (Small Base) - From Power

Topic 2

Digit Solving - Ones Digit in Exponents (Large Base) - From Multiplication

Topic 3

Digit Solving - Ones Digit in Exponents (Large Base) - From Power

Topic 4

Digit Solving - Ones Digit in Exponents (Large Exponent) - From Power

Topic 5

Digit Solving - Ones Digit in Exponent Multiplication - Same Exponent (Small)

Topic 6

Is Number a Factor of Both - From Variables as Factors

Topic 7

Is Integer a Factor - From Value as Factors

Topic 8

Is Integer a Factor - From Value as Factors

Topic 9

Digit Solving - Ones Digit in Exponent Multiplication - Same Exponent (Small)

Topic 10

Digit Solving - Ones Digit in Exponent Multiplication (Large) - Same Exponent (Large)

Topic 11

Digit Solving - Ones Digit in Exponent Multiplication - Different Exponent (Small)

Topic 12

Digit Solving - Ones Digit in Exponent Multiplication - Different Exponent (Large)

Topic 13

Digit Solving - Ones Digit in Exponents (Small Base) - From Multiplication

Topic 14

Digit Solving - Ones Digit in Exponents (Small Base) - From Power

Topic 15

Digit Solving - Ones Digit in Exponents (Large Base) - From Multiplication

Topic 16

Digit Solving - Ones Digit in Exponents (Large Base) - From Power

Topic 17

Digit Solving - Ones Digit in Exponents (Large Exponent) - From Power

Topic 18

Is Number a Factor - From Value as Factors

Topic 19

Digit Solving - Ones Digit in Exponent Multiplication - Same Exponent (Small)

Topic 20

Is Number a Factor - From Value as Factors

Topic 21

Is Number a Factor - From Variable as Factors

Topic 22

Is Integer a Factor of Both - From Values as Factors

Topic 23

Digit Solving - Ones Digit in Exponent Multiplication (Large) - Same Exponent (Large)

Topic 24

Digit Solving - Ones Digit in Exponent Multiplication - Different Exponent (Small)

Topic 25

Digit Solving - Ones Digit in Exponent Multiplication - Different Exponent (Large)

Topic 26

Digit Solving - Ones Digit in Exponents (Small Base) - From Multiplication

Topic 27

Digit Solving - Ones Digit in Exponents (Small Base) - From Power

Topic 28

Digit Solving - Ones Digit in Exponents (Large Base) - From Power

Topic 29

Digit Solving - Ones Digit in Exponents (Large Base) - From Multiplication

Topic 30

Digit Solving - Ones Digit in Exponents (Large Exponent) - From Power

Topic 31

Is Number a Factor of Both - From Values as Factors

Topic 32

Is Number a Factor - From Variable as Factors

Topic 33

Is Number a Factor of Both - From Values as Factors

Topic 34

Is Number a Factor of Both - From Variables as Factors

Topic 35

Is Integer a Factor of Both - From Values as Factors

Topic 36

Digit Solving - Ones Digit in Exponent Multiplication (Large) - Same Exponent (Large)

Topic 37

Digit Solving - Ones Digit in Exponent Multiplication - Different Exponent (Small)

Topic 38

Digit Solving - Ones Digit in Exponent Multiplication - Different Exponent (Large)

Topic 39

Prime Factorization - Is Number a Factor - From Value as Factors (Level 2)

Topic 21

This math topic focuses on determining whether one number is a factor of another through prime factorization. It includes problems where students must compare the prime factorization of two numbers to see if the factors of the first number completely appear in the second. The problems typically format as "Is [first number] a factor of [second number]?" with a structured breakdown of each number’s prime factors. The topic is a part of broader units on factoring and finding the greatest common factor, enhancing students' understanding of number relationships and divisibility rules.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Is Number a Factor - From Value as Factors

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Is 70 a factor of 462

70=257462=23711is 70 a factor of462?\begin{align*}70 &= 2 \cdot 5 \cdot 7\\\\[-0.5em]462 &= 2 \cdot 3 \cdot 7 \cdot 11\end{align*}\\\\ \textsf{is }70\textsf{ a factor of}\\462?