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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 Integer a Factor of Both - From Values as Factors (Level 2)

Topic 32

This math topic focuses on prime factorization and explores whether specific integers are common factors of two given numbers. Each question presents the prime factorization of certain numbers and asks if a listed integer is a factor of both provided numbers. The integers and numbers are given in algebraic form, and the exercise helps strengthen understanding of factors, prime factorization, and the greatest common factor. This set of problems is suitable for those practicing factoring skills, specifically in identifying shared factors between numbers.

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

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Is Integer a Factor of Both - From Values as Factors

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Is 70 a factor of both 462 and 1365?

70=xzb462=237111365=35713is 70 a factor of462 and 1365?\begin{align*}70 &= x \cdot z \cdot b\\\\[-0.5em]462 &= 2 \cdot 3 \cdot 7 \cdot 11\\[-0.5em]1365 &= 3 \cdot 5 \cdot 7 \cdot 13\end{align*}\\\\ \textsf{is }70\textsf{ a factor of}\\462\textsf{ and }1365?