Factors of 1507
2026-02-28 14:05 Diff
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Last updated on December 12, 2025

Factors are the numbers that divide any given number evenly without a remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 1507, how they are used in real life, and tips to learn them quickly.

What are the Factors of 1507?

The numbers that divide 1507 evenly are known as factors of 1507.

A factor of 1507 is a number that divides the number without a remainder.

The factors of 1507 are 1, 19, 79, and 1507.

Negative factors of 1507: -1, -19, -79, and -1507.

Prime factors of 1507: 19 and 79.

Prime factorization of 1507: 19 × 79.

The sum of factors of 1507: 1 + 19 + 79 + 1507 = 1606

How to Find Factors of 1507?

Factors can be found using different methods. Mentioned below are some commonly used methods:

  • Finding factors using multiplication
     
  • Finding factors using the division method
     
  • Prime factors and Prime factorization

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1507. Identifying the numbers which are multiplied to get the number 1507 is the multiplication method.

Step 1: Multiply 1507 by 1, 1507 × 1 = 1507.

Step 2: Check for other numbers that give 1507 after multiplying

19 × 79 = 1507

Therefore, the positive factor pairs of 1507 are: (1, 1507) and (19, 79).

All these factor pairs result in 1507.

For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method

Step 1: Divide 1507 by 1, 1507 ÷ 1 = 1507.

Step 2: Continue dividing 1507 by the numbers until the remainder becomes 0.

1507 ÷ 1 = 1507

1507 ÷ 19 = 79

1507 ÷ 79 = 19

Therefore, the factors of 1507 are: 1, 19, 79, 1507.

Prime Factors and Prime Factorization

The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:

Using Prime Factorization: In this process, prime factors of 1507 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1507 ÷ 19 = 79

79 ÷ 79 = 1

The prime factors of 1507 are 19 and 79.

The prime factorization of 1507 is: 19 × 79.

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows

Step 1: Firstly, 1507 is divided by 19 to get 79.

Step 2: Now divide 79 by 79 to get 1. Here, both 19 and 79 are the smallest prime numbers, that cannot be divided anymore. So, the prime factorization of 1507 is: 19 × 79.

Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.

Positive factor pairs of 1507: (1, 1507), (19, 79).

Negative factor pairs of 1507: (-1, -1507), (-19, -79).

Common Mistakes and How to Avoid Them in Factors of 1507

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

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Problem 1

There are 19 students and 1507 marbles. How will they divide it equally?

Okay, lets begin

They will get 79 marbles each.

Explanation

To divide the marbles equally, we need to divide the total marbles by the number of students.

1507/19 = 79

Well explained 👍

Problem 2

A rectangular garden has a length of 79 meters and a total area of 1507 square meters. Find the width.

Okay, lets begin

19 meters.

Explanation

To find the width of the garden, we use the formula, Area = length × width

1507 = 79 × width

To find the value of width, we need to shift 79 to the left side.

1507/79 = width

Width = 19.

Well explained 👍

Problem 3

There are 79 boxes and 1507 items. How many items will be in each box?

Okay, lets begin

Each box will have 19 items.

Explanation

To find the items in each box, divide the total items by the number of boxes.

1507/79 = 19

Well explained 👍

Problem 4

In a class, there are 1507 pencils and 19 groups. How many pencils are there in each group?

Okay, lets begin

There are 79 pencils in each group.

Explanation

Dividing the pencils by the total groups, we will get the number of pencils in each group.

1507/19 = 79

Well explained 👍

Problem 5

1507 pages need to be distributed in 79 notebooks. How many pages will go in each notebook?

Okay, lets begin

Each notebook will have 19 pages.

Explanation

Divide the total pages by the number of notebooks.

1507/79 = 19

Well explained 👍

FAQs on Factors of 1507

1.What are the factors of 1507?

1, 19, 79, and 1507 are the factors of 1507.

2.Mention the prime factors of 1507.

The prime factors of 1507 are 19 and 79.

3.Is 1507 a multiple of 19?

4.Mention the factor pairs of 1507?

(1, 1507) and (19, 79) are the factor pairs of 1507.

5.What is the square of 1507?

The square of 1507 is 2,270,449.

Important Glossaries for Factor of 1507

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1507 are 1, 19, 79, and 1507.
  • Prime factors: The factors which are prime numbers. For example, 19 and 79 are prime factors of 1507.
  • Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1507 are (1, 1507) and (19, 79).
  • Prime factorization: The process of expressing a number as the product of its prime factors. For example, 1507 = 19 × 79.
  • Multiples: Numbers that can be divided by another number without leaving a remainder. For example, 1507 is a multiple of 19 and 79.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.