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Study with Ghada› Math Fourth Grade, Primary› Unit 5

Lesson ⁦5-1⁩: Factors and Multiples

Math · Fourth Grade, Primary · Unit 5: Multiplying by a One-Digit Number · First Semester

A 10-question quiz; after every question you'll see the right answer with an explanation.
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What will you learn in this lesson?

In this lesson we learn about factors and multiples: a factor is a number that divides a number with no remainder, and a multiple is the product of the number and a whole number. These ideas prepare us for fractions and division.

  • Finds all the factors of a whole number
  • Writes multiples of a given number
  • Distinguishes between a factor and a multiple
  • Uses arrays and multiplication facts to find factors

💡 Tip: Look for factors in pairs: 1 × 18, 2 × 9, and 3 × 6. When the pairs start repeating, you have found all the factors: 1, 2, 3, 6, 9, 18.

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Worked examples from the Factors and Multiples lesson questions

Which of the following numbers is a factor of 12?
  • 4
  • 5
  • 8
  • 24
✓ 4
4 is a factor of 12 because 4 × 3 = 12, while 5 and 8 do not divide 12 without a remainder, and 24 is a multiple of 12, not a factor.
Which of the following numbers is a multiple of 6?
  • 18
  • 3
  • 20
  • 26
✓ 18
18 = 6 × 3, so it is a multiple of 6. 3 is a factor of 6.
Show more examples (3)
Which list contains only multiples of 4?
  • 8، 12، 20، 36
  • 8، 12، 18، 24
  • 4، 6، 8، 10
  • 2، 4، 8، 16
✓ 8، 12، 20، 36
8 = 4 × 2, 12 = 4 × 3, 20 = 4 × 5, and 36 = 4 × 9. The other lists have numbers such as 18, 6, and 2 that are not multiples of 4.
What are all the factors of 18?
  • 1، 2، 3، 6، 9، 18
  • 2، 3، 6، 9
  • 1، 2، 3، 6، 9
  • 1، 3، 6، 9، 18
✓ 1، 2، 3، 6، 9، 18
The factor pairs of 18: 1 × 18, 2 × 9, 3 × 6. So the factors are: 1, 2, 3, 6, 9, 18.
How many factors does 16 have?
  • 5
  • 4
  • 3
  • 6
✓ 5
The factors of 16 are: 1, 2, 4, 8, 16, and there are 5 of them (because 4 × 4 = 16, the number 4 is counted only once).

FAQ about the Factors and Multiples lesson

What is the difference between factors and multiples?

A number's factors divide it with no remainder, and there are a limited number of them, like the factors of 12: 1, 2, 3, 4, 6, 12. Its multiples are the products of it times 1, 2, 3... and they never end, like 12, 24, 36.

Is a number a factor of itself and a multiple of itself?

Yes. Every number is a factor of itself because the number ÷ itself = 1, and a multiple of itself because the number × 1 = the number itself.

How do I study the lesson Factors and Multiples and test myself on it?

Start the lesson quiz on Study with Ghada: 10 questions from the Math Fourth Grade, Primary question bank. After each answer you'll see the right answer with an explanation, and any questions you miss move to “Review my mistakes” until you master them.

Are Study with Ghada quizzes free and aligned with the curriculum?

Yes, completely free. They're built on the Math - Grade 4 - Semester 1 lessons in the same order as the book, and every question is reviewed and approved by a teacher before students see it.

Unit 5 lessons: Multiplying by a One-Digit Number

⁦5-2⁩ Multiply by Multiples of 10, 100, and 1,000 ⁦5-3⁩ Problem-Solving Skill: Estimate Whether an Answer Is Reasonable ⁦5-4⁩ Estimate Products ⁦5-5⁩ Multiply a Two-Digit Number by a One-Digit Number Without Regrouping ⁦5-6⁩ Multiply a Two-Digit Number by a One-Digit Number with Regrouping ⁦5-7⁩ Problem-Solving Investigation: Choose the Best Strategy ⁦5-8⁩ Multiply a Three-Digit Number by a One-Digit Number All Math Fourth Grade, Primary lessons →
← ⁦4-7⁩ Function Tables: Multiplication and Division Tables ⁦5-2⁩ Multiply by Multiples of 10, 100, and 1,000 →