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 of Both - From Values as Factors (Level 1)

Topic 32

This math topic focuses on practicing prime factorization for determining whether a given number is a common factor of two other numbers. Each problem presents the prime factors of three numbers and asks if one of these is a factor of the other two. This is aimed at developing skills in factoring numbers and understanding the greatest common factor, which are fundamental concepts in arithmetic and number theory. The problems require students to analyze the prime factorization for common factors and deduce divisibility, aiding in the comprehension of factor relationships and multiplication.

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

View Unit

Is Number a Factor of Both - From Values as Factors

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Is 49 a factor of both 98 and 147?

49=7298=272147=372is 49 a factor of98 and 147?\begin{align*}49 &= 7^2\\\\[-0.5em]98 &= 2 \cdot 7^2\\[-0.5em]147 &= 3 \cdot 7^2\end{align*}\\\\ \textsf{is }49\textsf{ a factor of}\\98\textsf{ and }147?