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Divisibility Rules - Intro

36 Topics, 3 Skills

Divisibility Rules (Easy) - Condition to Divisor

Topic 1

Divisibility Rules (Medium) - Condition to Divisor

Topic 2

Divisibility Rules (Medium) - Condition to Divisor

Topic 3

Divisibility Rules (Medium) - Dividend and Condition to Yes/No

Topic 4

Is Number a Factor of Both - From Variables as Factors

Topic 5

Is Integer a Factor - From Value as Factors

Topic 6

Is Integer a Factor - From Value as Factors

Topic 7

Divisibility Rules (Easy) - Condition to Divisor

Topic 8

Is Number a Factor - From Value as Factors

Topic 9

Divisibility Rules (Medium) - Dividend and Condition to Yes/No

Topic 10

Divisibility Rules (Medium) - Dividend to Yes/No

Topic 11

Divisibility Rules (Easy) - Condition to Divisor

Topic 12

Divisibility Rules (Easy) - Dividend and Condition to Yes/No

Topic 13

Divisibility Rules (Easy) - Dividend to Yes/No

Topic 14

Divisibility Rules (Medium) - Condition to Divisor

Topic 15

Divisibility Rules (Medium) - Divisor to Condition

Topic 16

Is Number a Factor - From Value as Factors

Topic 17

Is Number a Factor - From Variable as Factors

Topic 18

Is Integer a Factor of Both - From Values as Factors

Topic 19

Divisibility Rules (Easy) - Divisor to Condition

Topic 20

Divisibility Rules (Easy) - Divisor to Condition

Topic 21

Divisibility Rules (Easy) - Dividend and Condition to Yes/No

Topic 22

Divisibility Rules (Medium) - Dividend and Condition to Yes/No

Topic 23

Is Number a Factor of Both - From Values as Factors

Topic 24

Divisibility Rules (Easy) - Divisor to Condition

Topic 25

Divisibility Rules (Easy) - Dividend to Yes/No

Topic 26

Divisibility Rules (Medium) - Divisor to Condition

Topic 27

Divisibility Rules (Medium) - Divisor to Condition

Topic 28

Is Number a Factor - From Variable as Factors

Topic 29

Is Number a Factor of Both - From Values as Factors

Topic 30

Is Number a Factor of Both - From Variables as Factors

Topic 31

Is Integer a Factor of Both - From Values as Factors

Topic 32

Divisibility Rules (Easy) - Dividend and Condition to Yes/No

Topic 33

Divisibility Rules (Easy) - Dividend to Yes/No

Topic 34

Divisibility Rules (Medium) - Dividend to Yes/No

Topic 35

Divisibility Rules (Medium) - Dividend to Yes/No

Topic 36

Prime Factorization - Is Number a Factor of Both - From Values as Factors (Level 1)

Topic 24

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.

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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 14 a factor of both 105 and 66?

14=27105=35766=2311is 14 a factor of105 and 66?\begin{align*}14 &= 2 \cdot 7\\\\[-0.5em]105 &= 3 \cdot 5 \cdot 7\\[-0.5em]66 &= 2 \cdot 3 \cdot 11\end{align*}\\\\ \textsf{is }14\textsf{ a factor of}\\105\textsf{ and }66?