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Factors of 8 – Definition With Examples

Jo-ann Caballes

Updated on January 4, 2024

At Brighterly, we believe that every mathematical concept, no matter how simple or complex, holds a universe of discovery and understanding. Factors form the foundation of many mathematical principles that children encounter throughout their educational journey. When we discuss factors, we are delving into the basic structure of numbers, the DNA if you will, that makes up their identity. For instance, take the number 8—a seemingly simple digit, yet packed with stories of combinations and relationships that can be formed with other numbers. By the end of this guide, the young learners of Brighterly will not only know what factors of 8 are but will also appreciate the fascinating world of numbers that they open up.

What Are Factors?

Factors are the numbers we multiply together to get another number. Imagine a box of cookies, and every child gets an equal number of cookies. The number of children and the number of cookies each child gets can be thought of as factors of the total cookies in the box. Simply put, if a and b are both whole numbers and a × b equals a number c, then a and b are factors of c.

Definition of Factors

Factors are numbers that divide another number completely, leaving no remainder. For instance, when we talk about the number 12, 1, 2, 3, 4, 6, and 12 can divide 12 without leaving any leftovers. So, these numbers are factors of 12.

Definition of Factors of 8

The factors of 8 are the numbers that can multiply together to produce the number 8. Specifically, the pairs are 1 and 8, and 2 and 4. Hence, the factors of 8 are 1, 2, 4, and 8.

Properties of Factors

1. Every number is a factor of itself.
2. 1 is a factor of every number.
3. A number will have at least two factors: 1 and itself.
4. Factors of a number are always less than or equal to the number.

Properties of Factors of 8

1. 8 is a factor of itself.
2. 1 is a factor of 8.
3. 8 has four factors: 1, 2, 4, and 8.
4. All factors of 8 are less than or equal to 8.

Difference Between Factors and Multiples

While factors are the numbers that divide another number completely, multiples are numbers obtained by multiplying the given number. For example, the multiples of 3 are 3, 6, 9, 12, etc. Factors divide, multiples multiply!

Examples of Factors of 8

8 can be derived from:

• 1 × 8
• 2 × 4 These examples show how different pairs of numbers can produce the same product.

Writing Equations Involving Factors of 8

1. 8 = 1 × 8
2. 8 = 2 × 4

Finding Factors of 8 Using Various Methods

To find factors:

1. Division method: Start by dividing 8 by numbers from 1 up to 8. If the division is exact (no remainder), then both the number you divided by and the quotient are factors.
2. Pairing method: Think of two numbers that when multiplied will give 8. This will lead you to the pairs 1 & 8 and 2 & 4.

Practice Problems on Factors of 8

1. Which of the following is not a factor of 8?

   • a) 1
   • b) 3
   • c) 4

2. How many factors does 8 have?

   • a) 2
   • b) 4
   • c) 6

Conclusion

After exploring the wonderful world of factors, it’s clear that even simple numbers like 8 have a depth to them that’s both fascinating and educational. At Brighterly, our mission is to make math an enjoyable and enlightening journey for children. We want them to see the stories and mysteries behind numbers and to understand that every number, every factor, holds a key to unlocking more advanced mathematical concepts. Remember, as you or your child ventures deeper into the realm of mathematics, the foundational knowledge of factors will always serve as a trusted guide.

Frequently Asked Questions on Factors of 8

How many factors does 8 have?

8 has four factors: 1, 2, 4, and 8.

Is 3 a factor of 8?

No, 3 is not a factor of 8 because 8 divided by 3 leaves a remainder.

Why are factors important in math?

Factors help in simplifying complex problems, understanding number properties, and pave the way to grasp higher-level mathematical concepts.

Jo-ann Caballes

5 articles

As a seasoned educator with a Bachelor’s in Secondary Education and over three years of experience, I specialize in making mathematics accessible to students of all backgrounds through Brighterly. My expertise extends beyond teaching; I blog about innovative educational strategies and have a keen interest in child psychology and curriculum development. My approach is shaped by a belief in practical, real-life application of math, making learning both impactful and enjoyable.