721 LearnersLast updated on May 26th, 2025
Factors of 146
Factors are the numbers that divide another number equally, without leaving any remainder. When you multiply two numbers to find another number, the two which are multiplied are factors. You can think of factors as the building blocks that will help you make numbers.
What are the factors of 146?
Factors are the numbers that help us divide things equally without any leftovers. Here 1,2,73 and 146 are the factors of 146. The number has both positive and negative integers that divide 146 without leaving any remainder.
How to find the factors of 146?
Factors help us divide numbers equally, making calculations faster and easier. Given below are the methods used to find factors:
Finding Factors Using Multiplication
In this method, we take two numbers and find the product of those two numbers to get the required number.
Example:
2×73=146
1×146=146
This means that 1, 2,73, and 146 are the factors of 146.
Finding Factors by Division Method
We divide 146 by numbers starting from 1 and see which number gives the remainder of 0.
146 1=146
146 2=73
146 73=2
146 146=1
So the factors are 1,2,73 and 146.
Prime Factors and Prime Factorization
The breaking down of numbers as prime factors is called prime factorization. The factors of 146 are:
146=2x73
Factor tree
A factor tree shows how a number can be parted down into prime factors.146 is broken down into two factors, 2 and 73.
Positive and negative pairs:
The factors of a number will have both the positive and negative numbers:
Positive :(1,2,73,146)
Negative:(-1,-2,-73,-146)
Common Mistakes and How to Avoid Them in Factors of 146
While learning about the factors of 146, students may likely make mistakes, to avoid them a few mistakes with solutions are given below
Mistake 1
Improper calculation in division
Children may get confused while performing divisions in the carry forward of numbers, which may lead to improper results. To avoid this, students should practice division to be better at the calculations.
factors of 146 Examples
Problem 1
Check if 146 is Divisible by 3.
A number is divisible by 3 if the sum of each digit of the given number is divisible by 3.
1+4+6=11,
Since 11 is not divisible by 3, 146 is not divisible by 3
Explanation
Since the sum of the digits of 146 is 11 and 11 is not divisible by 3, we conclude that 146 is not divisible by 3.
Problem 2
Find the Sum of All Positive Factors of 146.
1, 2, 73, and 146 are the positive factors of 146.
1+2+73+146=222
Explanation
The factors of 146 are 1,2,73 and 146. Adding them gives 222, so the sum of all positive factors of 146 is 222.
Problem 3
Calculate the Remainder When 146 is divided by 5.
146÷5=29 remainder 11
The remainder is 1.
Explanation
146 is divisible by 5 and the quotient is 29, with remainder as 1. This means 146=5×29+1, so the remainder is 1.
FAQs on Factors of 146
1.Is 146 a prime number?
2.What is 146 in words?
3.Is 146 a perfect square?
4.What number are the negative factors of 146?
5.What is 146 divisible by?
6.How can children in Qatar use numbers in everyday life to understand Factors of 146?
7.What are some fun ways kids in Qatar can practice Factors of 146 with numbers?
8.What role do numbers and Factors of 146 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 146 skills?
Important Glossaries for Factors of 146
- Prime Factorization: It is a method of splitting down a number into its factors. For example:146=2x73
- Divisibility: A number is said to be divisible by a certain number, when we divide a number it should give a whole number and not a decimal.
- Even number: A number that when divided by 2 gives a whole number.
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