/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 22 Find the prime factorization of ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 22

Find the prime factorization of each number. If the number is prime, state this. $$ 15 $$

Short Answer

Expert verified
The prime factorization of 15 is 3 and 5.

Step by step solution

01

Understand Prime Factorization

Prime factorization involves breaking down a number into its prime factors, which are prime numbers that multiply together to give the original number.
02

Find the Smallest Prime Number

Start with the smallest prime number, which is 2, and check if it divides 15 without leaving a remainder. Since 15 is not divisible by 2, move to the next smallest prime number, which is 3.
03

Divide by the Prime Number

Check if 15 is divisible by 3. Since 15 divided by 3 equals 5, which is a whole number, 3 is one of the prime factors.
04

Check the Quotient

The quotient from the previous step is 5. Check if 5 is a prime number. Since 5 cannot be divided evenly by any number other than 1 and itself, it is a prime number.
05

Write the Prime Factorization

Combine the prime factors found. Therefore, the prime factorization of 15 is 3 and 5.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Prime Numbers
Prime numbers are special numbers greater than 1 that have no divisors other than 1 and themselves.
In other words, they can't be formed by multiplying two smaller natural numbers.
Division
Division is the process of determining how many times one number is contained within another.
It is fundamental to breaking down numbers into smaller components, especially in prime factorization.
Factors
Factors are numbers that you can multiply together to get another number.
Prime factors are specifically prime numbers that multiply together to get the original number.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Evaluate using a calculator. $$ (t+4)^{2}-12 \div(19-17)+68, \text { for } t=5 $$

Evaluate. $$ -x^{2}-5 x, \text { for } x=-3 $$

Evaluate. $$ (-x)^{2}-5 x, \text { for } x=-3 $$

Simplify using a calculator. Round your answer to the nearest thousandth. $$ \frac{13.4-5|1.2+4.6|}{(9.3-5.4)^{2}} $$

Evaluate. $$ 9-4 x, \text { for } x=5 $$
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.