So factors are the numbers that can be multiplied with another factor to create a multiple?

I remember it as "Factors are numbers that can go into another number; Multiples are numbers that the factors go into."

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Course: Class 6 (ICSE basics) > Unit 7

Lesson 3: Factors and multiples

Factors and multiples review

Google Classroom

Review factors and multiples, and try some practice problems.

What is a factor?

A factor is a whole number that can divide evenly into another number.

The factors of

8

are:

1, 2, 4,

and

8

8 \div 1 = 8

8 \div 2 = 4

8 \div 4 = 2

8 \div 8 = 1

1, 2, 4,

and

8

all divide evenly into

8

Factor pairs

A factor pair is

2

whole numbers that can be multiplied to get a certain product.

The factor pairs of

8

are:

1

and

8

because

1 \times 8 = 8

2

and

4

because

2 \times 4 = 8

Want to learn more about finding factors? Check out this video.

Want more ways to think about factors and multiples? Check out this article.

Practice set 1: Finding factors

Problem 1A

Which of the following numbers is a factor of $78$ ‍?

Want to try more problems like this? Check out this exercise.

What is a multiple?

A multiple is a number that results when we multiply one whole number by another whole number. The first four multiples of

3

are

3, 6, 9

, and

12

because:

3 \times 1 = 3

3 \times 2 = 6

3 \times 3 = 9

3 \times 4 = 12

Some other multiples of

3

are

15, 30

and

300

3 \times 5 = 15

3 \times 10 = 30

3 \times 100 = 300

We can never list all of the multiples of a number. In our example,

3

could be multiplied by an infinite number of numbers to find new multiples.

Identifying multiples

We can check to see if a number is a multiple of another number by seeing if it can be divided evenly by the number.

15

is a multiple of

3

because

15 \div 3 = 5

17

is not a multiple of

3

because

17 \div 3 = 5 R 2

Want to learn more about finding factors and multiples of a number? Check out this video.

Practice set 2: Finding multiples

Problem 2A

Which of the following numbers is a multiple of $9$ ‍?

Want to try more problems like this? Check out this exercise.

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Johana Gonzalez
Posted 6 years ago. Direct link to Johana Gonzalez's post “So factors are the number...”
So factors are the numbers that can be multiplied with another factor to create a multiple?
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(44 votes)
Answer
- Maria
  Posted 4 years ago. Direct link to Maria's post “I remember it as "Factors...”
  I remember it as "Factors are numbers that can go into another number; Multiples are numbers that the factors go into."
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  (15 votes)
Madison
Posted 4 years ago. Direct link to Madison's post “I think I get what factor...”
I think I get what factors are now
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(13 votes)
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austing31
Posted 4 years ago. Direct link to austing31's post “How do you do this when y...”
How do you do this when you don't have scrip?
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(5 votes)
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a.abou-morad
Posted 3 years ago. Direct link to a.abou-morad's post “this is not a question bu...”
this is not a question but thank you very much for this it really helped.
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cockrummal
Posted 5 years ago. Direct link to cockrummal's post “How hard do you think alg...”
How hard do you think algebra can be at first?
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(4 votes)
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oswaldo.rosete
Posted 4 years ago. Direct link to oswaldo.rosete's post “It fun to do math it awso...”
It fun to do math it awsome
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(4 votes)
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oswaldo.rosete
Posted 4 years ago. Direct link to oswaldo.rosete's post “i love multiples it fun”
i love multiples it fun
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(3 votes)
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- 28landonp816
  Posted 3 years ago. Direct link to 28landonp816's post “*bold* apparently multipl...”
  bold apparently multiples could be fun in your opinion but sometimes two digits times two digits is challenging and way difficult u thought
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  (1 vote)
143002603
Posted 4 years ago. Direct link to 143002603's post “Hey guys it is okay to no...”
Hey guys it is okay to not agree to everyone. Everyone has different opinions they do not have to be the same right but my opinion is different hey can I tell you guys a secret I am not good at math sometimes but sometimes I get good score and sometimes I get a bad score it is okay that sometimes you get the score right or wrong but trust me take the easy way not the hard way if you take the hard way it makes your risks kind of hard not kind of easy.
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EmilyS
Posted 3 years ago. Direct link to EmilyS's post “sorry to interrupt but pl...”
sorry to interrupt but please send Emily's Family 2
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sajedlinski
Posted 3 years ago. Direct link to sajedlinski's post “how is 40 a multiple of 8...”
how is 40 a multiple of 8? ;-;
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- Zoheb
  Posted 3 years ago. Direct link to Zoheb's post “40 is a multiple of 8 bec...”
  40 is a multiple of 8 because 40 comes in the table of
  8 . 8 multiplied by 5 is 40.8x5=40
  Comment on Zoheb's post “40 is a multiple of 8 bec...”
  (1 vote)