• About
  • Contact
  • Cookie
  • Disclaimer
  • Privacy Policy
  • Change the purpose of use

Tnhelearning.edu.vn - Various useful general information portal

  • Photo
  • Bio
  • How To
  • Tech

How to Find the Number of Factories in a Number

January 26, 2024 by admin Category: How To

You are viewing the article How to Find the Number of Factories in a Number  at Tnhelearning.edu.vn you can quickly access the necessary information in the table of contents of the article below.

X

wikiHow is a “wiki” site, which means that many of the articles here are written by multiple authors. To create this article, 15 people, some of whom are anonymous, have edited and improved the article over time.

This article has been viewed 9,130 times.

If you know how, finding the number of factors in a number is as simple as counting 1 2 3. But with larger numbers, you can’t just count each factor. This is a good trick to be able to find the number of factors in an integer.

Table of Contents

  • Steps
  • For example
    • 7540
    • 15802
  • Advice

Steps

Image titled Find How Many Factors Are in a Number Step 1

Image titled Find How Many Factors Are in a Number Step 1

{“smallUrl”:”https://www.wikihow.com/images_en/thumb/5/54/Find-How-Many-Factors-Are-in-a-Number-Step-1.jpg/v4-728px- Find-How-Many-Factors-Are-in-a-Number-Step-1.jpg”,”bigUrl”:”https://www.wikihow.com/images/thumb/5/54/Find-How- Many-Factors-Are-in-a-Number-Step-1.jpg/v4-728px-Find-How-Many-Factors-Are-in-a-Number-Step-1.jpg”,”smallWidth”:460 ,”smallHeight”:306,”bigWidth”:728,”bigHeight”:484,”licensing”:”<div class=”mw-parser-output”></div>”}
Choose a number. It can be any number, but it’s best to start with simpler numbers.

  • For example, choose 72. However, it can also be treated as a variable.
Image titled Find How Many Factors Are in a Number Step 2

Image titled Find How Many Factors Are in a Number Step 2

{“smallUrl”:”https://www.wikihow.com/images_en/thumb/c/c8/Find-How-Many-Factors-Are-in-a-Number-Step-2.jpg/v4-728px- Find-How-Many-Factors-Are-in-a-Number-Step-2.jpg”,”bigUrl”:”https://www.wikihow.com/images/thumb/c/c8/Find-How- Many-Factors-Are-in-a-Number-Step-2.jpg/v4-728px-Find-How-Many-Factors-Are-in-a-Number-Step-2.jpg”,”smallWidth”:460 ,”smallHeight”:306,”bigWidth”:728,”bigHeight”:484,”licensing”:”<div class=”mw-parser-output”></div>”}
Find the prime factor of the selected number. There are many ways to do that, but usually, creating a factor tree is the simplest. According to number theory, this is an efficient method because every integer (except -1, 0 and 1) has a certain number of prime factors, and when multiplied together, the product is exactly that number. Remember that 0 and 1 are not prime numbers.

  • 72 is broken down into 2 and 36; 2, 6 and 6; and finally: 2, 2, 3, 2, 3, which is equivalent to 2 3 *3 2 .
READ More:   How to Eat Papaya Seeds
Image titled Find How Many Factors Are in a Number Step 3

Image titled Find How Many Factors Are in a Number Step 3

{“smallUrl”:”https://www.wikihow.com/images_en/thumb/c/c7/Find-How-Many-Factors-Are-in-a-Number-Step-3.jpg/v4-728px- Find-How-Many-Factors-Are-in-a-Number-Step-3.jpg”,”bigUrl”:”https://www.wikihow.com/images/thumb/c/c7/Find-How- Many-Factors-Are-in-a-Number-Step-3.jpg/v4-728px-Find-How-Many-Factors-Are-in-a-Number-Step-3.jpg”,”smallWidth”:460 ,”smallHeight”:306,”bigWidth”:728,”bigHeight”:484,”licensing”:”<div class=”mw-parser-output”></div>”}
Take every exponent and add one to each number.

  • In the example 2 3 and 3 2 , the exponents are 3 and 2 – adding one to each number gives 4 and 3.
  • Image titled Find How Many Factors Are in a Number Step 4

    Image titled Find How Many Factors Are in a Number Step 4

    {“smallUrl”:”https://www.wikihow.com/images_en/thumb/3/39/Find-How-Many-Factors-Are-in-a-Number-Step-4.jpg/v4-728px- Find-How-Many-Factors-Are-in-a-Number-Step-4.jpg”,”bigUrl”:”https://www.wikihow.com/images/thumb/3/39/Find-How- Many-Factors-Are-in-a-Number-Step-4.jpg/v4-728px-Find-How-Many-Factors-Are-in-a-Number-Step-4.jpg”,”smallWidth”:460 ,”smallHeight”:306,”bigWidth”:728,”bigHeight”:484,”licensing”:”<div class=”mw-parser-output”></div>”}
    Get the total of the adjusted exponents..

    • 4 x 3 = 12. 72 has 12 factors – 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.
  • For example

    7540

    • Factorize into primes – 2 2 5(29)(13). Because x 1 = x, 29, 13, and 5 all have exponents of 1.
    • Add 1 to the exponent. 3, 2, 2, 2.
    • Get the adjusted exponent total. 7540 has 24 factors.

    15802

    • Factorize to prime – 2(7901).
    • Adjust the exponent – 2, 2.
    • Add. The number 15802 has four factors – 1, 2, 7901, 15802. 7901 is a prime number.

    Advice

    • The reason for adding one to each exponent is because the power of a number is zero. That is, for 2 3 , it is possible to decompose into four power combinations: 2 0 , 2 1 , 2 2 and 2 3 . You can multiply 2 0 by 72 and still get 72 by x 0 = 1 (with 0 0 being the special exception – it’s an unspecified case)
    • This article tells you how many factors are in a number without showing how to Break a Number into Factories.
    X

    wikiHow is a “wiki” site, which means that many of the articles here are written by multiple authors. To create this article, 15 people, some of whom are anonymous, have edited and improved the article over time.

    This article has been viewed 9,130 times.

    If you know how, finding the number of factors in a number is as simple as counting 1 2 3. But with larger numbers, you can’t just count each factor. This is a good trick to be able to find the number of factors in an integer.

    READ More:   How to Roast Sesame Seeds

    Thank you for reading this post How to Find the Number of Factories in a Number at Tnhelearning.edu.vn You can comment, see more related articles below and hope to help you with interesting information.

    Related Search:

    Related Posts

    How to Create Curved Text in Photoshop
    How to fall asleep faster
    How to Install FBReader to Read eBooks

    Category: How To

    Previous Post: « Learn how to make your eyes sparkle like a mirror by IT Girl
    Next Post: What is frozen chicken? How much is Dong Tao chicken for 1kg? Where do you buy it? »

    Copyright © 2025 · Tnhelearning.edu.vn - Useful Knowledge