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Exercises Numbers, fractions and percents

Example 1.7 from Elementary Algebra, 1.1 Introduction to Whole Numbers

Introduction to Whole Numbers: example 1.7

Factor 48.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution

We say $2 \cdot 2 \cdot 2 \cdot 2 \cdot 3$ is the prime factorization of 48. We generally write the primes in ascending order. Be sure to multiply the factors to verify your answer!

If we first factored 48 in a different way, for example as $6 \cdot 8,$ the result would still be the same. Finish the prime factorization and verify this for yourself.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Find the prime factorization of 80.

How did it go?

PreviousIntroduction to Whole Numbers: example 1.6 Next Introduction to Whole Numbers: example 1.8

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 1.1, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.