Mathematics | Class: JSS1 | Term: 1st

Factors of Numbers

len Alfred Ajibola - 01st February, 2026 @ 09:07 PM

Topics in Mathematics

Linear Equation in Mathematics Word Problems leading to Algebraic Expression BODMAS in Algebra Multiplication and Division in Algebra Addition and Subtraction in Algebra Multiplication of Number Bases Subtraction of Number Bases Addition of Number Bases Division of Number Base Number Base Conversion Number Base System Significant Figures Rounding Off Numbers Decimal Place Value Fraction Word Problems Word Problems in Fraction Multiplication and Division of Fractions Addition and Subtraction of Fractions Expressing One Quantity as a Percentage of Another Expressing One Quantity as a Fraction of Another


Academic Questions in Mathematics

Please click here to see all Questions and Answers

Decagon - Len Academy

What type of polygon is shown in the above image?

  • A. Nonagon

  • B. Decagon

  • C. Octagon

  • D. Hexagon

  • E. Hepagon

  • F. Pentagon

Which of the following is not part of a circle?

  • A. Section

  • B. Sector

  • C. Segment

  • D. Semicircle

  • E. Secant

  • F. Center

Acute Angle - Len Academy

What angle is shown in the above image?

  • A. Complementary

  • B. Supplementary

  • C. Acute

  • D. Obtuse

  • E. Reflex

  • F. Straight

An angle greater than 90o but less than 180o is termed _____.

  • A. Complementary

  • B. Supplementary

  • C. Acute

  • D. Obtuse

  • E. Reflex

  • F. Straight

Factorize 12a2 - 20a + 3

  • A. (6a - 1)(2a - 3)

  • B. (6a - 1)(2a + 3)

  • C. (6a + 1)(2a - 3)

  • D. (6a + 1)(2a + 3)

  • E. (-6a + 1)(2a - 3)

  • F. (-6a + 1)(2a + 3)

Simplify 10ab + 7ab

  • A. 17ab2

  • B. 17a2b2

  • C. 3ab2

  • D. 3a2b2

  • E. 17ab

  • F 3ab

Which of the following is not a type of angle?

  • A. Right angle

  • B. Left Angle

  • C. Acute Angle

  • D. Complete Angle

  • E. Straight Angle

  • F. Reflex angle

Two lines that can never meet each other are best considered as _____ lines.

  • A. straight
  • B. vertical
  • C. horizontal
  • D. parallel
  • E. oblique
  • F. perpendicular



What are Factors of Numbers?


The factor of a number is the whole numbers that will divide that specific number perfectly, without leaving any remainder. For example, the factors of the number 6 are '2 and 3' respectively. This is so because 2 and 3 will divide 6 without leaving a remainder.

When we multiply the factors of a number, it give us the number itself. In the above paragraph, the multiplication of 2 and 3 will give us 6.

Note: In the above instance , the factors of 6 are '2 and 3'. Also, understand that the factors of any number will always include 1 and that specific number itself. In this regard, we can also say the the factors of 6 are '1, 2 3 and 6' respectively.

Please read on prime numbers here.

 

The image below shows the factors of some numbers, alongside their prime factors.

Factors of 2 through 20

 

An understanding on the factors of number gives us a better appreciation of multiplication, division, and other numerical properties.

Please read on the multiplication and division of fractions here.

 


Worked Examples on Factors of Numbers


Example 1
  • What are the factors of 4?

Solution

  • The factors of 4 are: 1, 2 and 4.

Each of these numbers will divide 4 without leaving a remainder.


 

Example 2
  • What are the factors of 8?

Solution

  • The factors of 8 are: 1, 2, 4 and 8.

Each of these numbers will divide 8 without leaving a remainder.


 

Example 3
  • What are the factors of 16?

Solution

  • The factors of 16 are 1, 2, 4, 8 and 16.

Each of these numbers will divide 16 without leaving a remainder.


 

Example 4
  • What are the factors of 18?

Solution

  • The factors of 18 are: 1, 2, 3, 6, 9 and 18.

Each of these numbers will divide 18 without leaving a remainder.


 

Example 5
  • What are the factors of 36?

Solution 

  • The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18 and 36.

Each of these numbers will divide 36 without leaving a remainder.


 

Example 6
  • What are the factors of 56?

Solution

  • The factors of 56 are: 1, 2, 4, 7, 8, 14, 28 and 56.

Each of these numbers will divide 56 without leaving a remainder.


 

Example 7
  • What are the factors of  260?

Solution 

  • The factors of 260 are: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260.

Each of these numbers will divide 260 without leaving a remainder.

Please read on highest common factor (HCF) here.

 


Assignment on Factors of Numbers


Find the factors of each of the following numbers:

  • 40

  • 204

  • 155

  • 75

  • 200

  • 35

  • 18

  • 222

  • 100

  • 50

  • 85

  • 1024

  • 777

  • 341

  • 445

  • 589

  • 600

  • 993

Please read on lines and types of lines in mathematics here.

Please read on mathematics week 2 topic for jss1 first term here.

Please read on mathematics scheme of work for jss1 first term here.

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Amazing facts in Mathematics

The opposite sides of a dice will always give a sum of seven

31,556,926 seconds makes one year

From 0 through 1000, the only number that has the letter 'a' in it is 'one thousand'

÷

The division symbol '÷' is actually called an obelus

Four is the only number in the English language that is spelt with the same number of letters as the number (4) itself

40 is spelt as forty and not 'fourty'. It is the only number that is spelt with letters arranged in alphabetical order

An odd number is a number that cannot be divisible by 2.

Every odd number has an 'e' in its spelling. They include:

  • One
  • Three
  • Five
  • Seven
  • Nine

555 in Thailand sounds like 'hahaha'. This is because the number '5' means 'ha' in Thailand

In mathematics, 10! means 10 factorial. Below is its calculation:

10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800

Interestingly, 3628800 seconds is the same as 42 days

42 days is the same as 6 weeks

We can therefore say that 10! equals 6 weeks or 3628800 seconds in mathematics

When you multiply 111,111,111 by 111,111,111; the result equals 12,345,678,987,654,321


Notable points in Mathematics

Let's use algebra to explain the simple statement below:

I am a number. When you subtract 3 from me, the result is 9. what number am I ?

Of course we know the answer is 12. You probably guessed it from your mind because it was that simple. The truth is, We could have a much more complicated statement of such; and that is where algebra comes into play.

Now, to apply algebra in the above statement, we use letters or alphabets to represent the unknown number(s). So using algebra, we can write:

  • Let the number be y

  • y - 3 = 9

  • y = 9 + 3

  • y = 12

Please read more on algebra here

Sides of a right angle triangle - Len Academy

 

The image above shows a right angled triangle. The angle of the above right triangle is denoted as θ. Below are some points to note:

Hypotenuse is always the longest side of the triangle.

Opposite is the side opposite the angle (θ)

Adjacent is the shorter side next to the angle (θ)

Each of Sin θ, cos θ and tan θ are the ratio of sides of the right triangle. They are calculated by using the formula (margic word) sohcahtoa:

Sohcahtoa - Len Academy

soh

Sin θ = Opposite/Hypotenuse

cah

Cos θ = Adjacent/Hypotenuse

toa

Tan θ = Opposite/Adjacent

Please read more on sine, cosine and tangent here

Circumference of a Circle - Len Academy

Circumference in mathematics means the distance around the edge of a circle (or a another curved surface).

Circumference is to circle or any other curved surface

Perimeter of a Rectangle - Len Academy

Perimeter means the distance around a square or rectangle or polygon.

Perimeter is to square or rectangle or polygon