Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without 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 -119, how they are used in real life, and tips to learn them quickly.
The numbers that divide -119 evenly are known as factors of -119.
A factor of -119 is a number that divides the number without remainder.
The factors of -119: 1, -1, 7, -7, 17, -17, 119, and -119.
Prime factors of 119: 7 and 17.
Prime factorization of 119: 7 × 17.
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give -119. Identifying the numbers which are multiplied to get the number -119 is the multiplication method.
Step 1: Multiply -119 by 1, -119 × 1 = -119.
Step 2: Check for other numbers that give -119 after multiplying
-1 × 119 = -119
7 × -17 = -119
-7 × 17 = -119
Therefore, the positive factor pairs of -119 are: (1, -119), (-1, 119), (7, -17), (-7, 17).
Dividing the given numbers with the 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 -119 by 1, -119 ÷ 1 = -119.
Step 2: Continue dividing -119 by the numbers until the remainder becomes 0.
-119 ÷ 1 = -119
-119 ÷ -1 = 119
-119 ÷ 7 = -17
-119 ÷ -7 = 17
Therefore, the factors of -119 are: 1, -1, 7, -7, 17, -17, 119, -119.
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 119 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
119 ÷ 7 = 17
17 ÷ 17 = 1
The prime factors of 119 are 7 and 17.
The prime factorization of 119 is: 7 × 17.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 119 is divided by 7 to get 17.
Step 2: Now divide 17 by 17 to get 1. Here, 17 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 119 is: 7 × 17.
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 -119: (1, -119), (7, -17).
Negative factor pairs of -119: (-1, 119), (-7, 17).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A team lost 119 points due to penalties. If each penalty cost them 17 points, how many penalties did they incur?
They incurred 7 penalties.
To find the number of penalties, divide the total points lost by the points per penalty.
119/17 = 7
A construction company has 119 bricks. They need to place them in stacks of 7 bricks each. How many stacks will they have?
They will have 17 stacks.
To find the number of stacks, divide the total bricks by the number of bricks per stack.
119/7 = 17
There are 119 students in a school, and they need to form groups with 1 teacher per group, with each group having 17 students. How many groups are there?
There are 7 groups.
To find the number of groups, divide the total students by the number of students per group.
119/17 = 7
A gardener has 119 plants and wants to plant them in rows of 7. How many rows will there be?
There will be 17 rows.
Dividing the total number of plants by the number of plants per row, we get the number of rows.
119/7 = 17
A baker made 119 cookies and plans to package them in boxes of 17 cookies each. How many boxes will she need?
She will need 7 boxes.
Divide the total cookies by the number of cookies per box.
119/17 = 7
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.
: She loves to read number jokes and games.