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Last updated on November 29th, 2024

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Factors of 448

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Foundation
Intermediate
Advance Topics

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.

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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. 

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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: 
 

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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.
 

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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.

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Prime Factorization

The breaking down of numbers as prime factors is called prime factorization. The factors of 448 are:


448=26 x 7
 

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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.
 

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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.)
 

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Common Mistakes and How to Avoid Them in Factors of 448

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Examples on the factors of 448

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Problem 1

Find the sum of all positive factors of 448.

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Explanation

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Problem 2

Determine the GCF of 448 and 896.

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Explanation

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Problem 3

Is 448 a perfect square? Justify your answer.

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Explanation

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FAQs on Factors of 448

1.What is the negative pair of 448?

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2.What is the LCM of 448?

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3.Is 448 a perfect square?

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4.Is 448 divisible by 7?

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5.What numbers are 448 divisible by?

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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.
     
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