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116 Learners

Last updated on ** September 27th, 2024**

The factors of 10 are whole numbers and they are finite. These factors divide 10 completely, leaving zero as the remainder. In real life, we use factors for calculating the dimensions needed for structures in engineering. In this article, you will learn more about the factors of 10.

The factors of 10 are 1, 2, 5 and 10

**Negative Factors: **These are negative counterparts of the positive factors.

Negative factors: -1, -2, -5, -10

**Prime Factors:**Prime factors are the prime numbers themselves, when multiplied together, give 10 as the product.

Prime factor: 2, 5

**Prime Factorization: **Prime factorization involves breaking 10 into its prime factors

It is expressed as 21 × 51

Table listing the factors of 10:

There are different methods to find the factors of 10.

Methods to find the factors of 10:

- Multiplication Method

- Division Method

- Prime Factor and Prime Factorization

- Factor Tree

The multiplication method finds the pair of factors that give 10 as their product. Step-by-step process given below:

**Step 1:** Find the pair of numbers whose product is 10.

**Step 2:** The factors are those numbers, when multiplied, give 10.

**Step 3: **Make a list of numbers whose product will be 10.

A list of numbers whose products are 10 is given below:

- 1 × 10 = 10

- 2 × 5 = 10

The division method finds the numbers that fully divide the given number. Step-by-step process given below:

**Step 1:** Since every number is divisible by 1, 1 will always be a factor. Example: 10÷1 = 10

**Step 2:** Move to the next integer. Both divisor and quotient are the factors.

Picture showing the division method:

Overview of Factors of 10 using the division method:

Multiplying prime numbers to get the given number as their product is called prime factors. Prime factorization is breaking down the number into its prime factors.

**Prime Factors of 10:** There are two prime factors for 10

Prime factors of 10: 2, 5

**Step 1: **Divide 10 using the prime number 2

10÷2 = 5

**Step 2:** Divide 5 with the prime number 5

5÷5 = 1

**Prime Factorization of 10:** Prime Factorization breaks down the prime factors of 10

Expressed as 2^{1} × 5^{1}

The prime factorization is visually represented using the factor tree. It helps to understand the process easily. In this factor tree, each branch splits into prime factors.

Factor Tree for 10:

Factors of 10 can be written in both positive pairs and negative pairs. They are like team members. Their product will be equal to the number given.

**Positive Factor Pairs:** (1,10), (2,5)

**Negative Factor Pairs: ** (-1,-10), (-2,-5)

**Divisor:**Number that divides another number

**Quotient:**The number you get when you divide a number with another.

**Factor Tree:**A tree diagram used to represent the prime factors of a given number

**Factors:**Numbers that divide the given number, leaving zero as the remainder.

**Prime Factorization:**Process of breaking down the prime factors.

**GCF:**Greatest Common Factor is the largest possible number seen in two or more numbers.