170 LearnersLast updated on May 26th, 2025
Factors of 448
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 448?
Factors are the numbers that help us divide things equally without any leftovers. The numbers 1, 2, 16, 28, 56, 112, 224, and 448 are the factors of 448. The number has both positive and negative integers that divide 448 without leaving any remainder.
How to find the factors of 448?
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:
2×224=448
1×448=448,
This means that 1, 2, 16, 28, 56, 112, 224, and 448 are the factors of 448.
Finding Factors by Division Method
We divide 448 by numbers starting from 1 and see which number gives the remainder of 0.
448 ÷ 1=448
448 ÷ 2=224
448 ÷4=112
448 ÷7=64
Repeat until you get 1 as the last product.
So the factors are 1, 2, 16, 28, 56, 112, 224, and 448.
Prime Factorization
The breaking down of numbers as prime factors is called prime factorization. The factors of 448 are:
448=26 x 7
Factor tree
A factor tree shows how a number can be parted down into prime factors.448 is broken down into two factors, 2 and 7.
Factor Pairs
Positive and negative pairs:
The factors of a number will have both the positive and negative numbers:
Positive :( 1, 2, 16, 28, 56, 112, 224, and 448.)
Negative:(-1,- 2, -16,- 28,- 56, -112,- 224, and -448.)
Common Mistakes and How to Avoid Them in Factors of 448
While learning about factors of 448, 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
Examples on the factors of 448
Problem 1
Find the sum of all positive factors of 448.
List all positive factors (from Example 1).
Add them together.
Steps:
Factors: 1, 2, 4, 7, 8, 16, 28, 56, 112, 224, 448
Sum: 1+2+4+7+8+16+28+56+112+224+448=512
The sum of positive factors: 512
Explanation
The factors of 448 are all the numbers that divide 448 without leaving a remainder. When we add these factors together, we get a total sum of 906. Thus, the sum of all positive factors of 448 is 906.
Problem 2
Determine the GCF of 448 and 896.
Find factors of both numbers (from previous examples).
Identify the largest common factor.
Steps:
Factors of 448: 1, 2, 4, 7, 8, 16, 28, 56, 112, 224, 448
Factors of 896: 1, 2, 4, 7, 8, 16, 28, 56, 112, 224, 448, 896
GCF: 448
Explanation
GCF divides both 448 and 896 evenly. Since 896 is exactly twice 448, all factors of 448 are also factors of 896, making 448 the largest common factor. Therefore, the GCF of 448 and 896 is 448.
Problem 3
Is 448 a perfect square? Justify your answer.
Determine if it is an integer.
Steps:
√448≈21.17 (not an integer)
Conclusion: No, 448 is not a perfect square
Explanation
A perfect square is a number that can be expressed as n2, where n is a whole number. Since the square root of 448 is approximately 21.17 (not a whole number), 448 is not a perfect square.
FAQs on Factors of 448
1.What is the negative pair of 448?
2.What is the LCM of 448?
3.Is 448 a perfect square?
4.Is 448 divisible by 7?
5.What numbers are 448 divisible by?
6.How can children in Qatar use numbers in everyday life to understand Factors of 448?
7.What are some fun ways kids in Qatar can practice Factors of 448 with numbers?
8.What role do numbers and Factors of 448 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 448 skills?
Necessary Glossaries for factors of 448
- Prime Factorization: It is a method of splitting down a number into its factors. For example:448=26 x 7
- 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.
Explore More numbers
Previous to Factors of 448
About BrightChamps in Qatar
