How Do You Write the Prime Factorization of a Number Using Exponents?

How Do You Write the Prime Factorization of a Number Using Exponents?

Note:

When you're writing the prime factorization of a number, you may be able to use exponents to quickly show all the factors. This tutorial shows you how to find the prime factorization of a number and use exponents to write the answer!

Keywords:

practice

prime

factorization

factor

exponents

tree

Background Tutorials

Multiply one-digit whole numbers by multiples of 10 in the range 10-90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations.

Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.

Prime numbers aren't too hard to define, but they still puzzle professional mathematicians. Believe it or not, all over the word computers are chugging away, trying to find the next biggest prime! Bigger and bigger prime numbers help keep your credit card info safe through really cool encryption techniques. So prime numbers really matter every day, and you can learn how they are defined in this tutorial.

Write and evaluate numerical expressions involving whole-number exponents.

If you have a repeated multiplication, you could write it using exponents! This tutorial introduces exponents and explains how they're used.

Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.