www-awu.aleks ALEKS ALEKS - Dixie Flores - Learn (e) Ellucian Ethos Identity Content Arithmetic Readiness Prime factorization Write 90 as a product of prime factors. \[ 90= \] \( \square \) \( \times \square \)

To express 90 as a product of its prime factors, you first divide by the smallest prime number, which is 2. Since 90 is even, we have 90 ÷ 2 = 45. Then, we break down 45 by the next smallest prime, which is 3. So, 45 ÷ 3 = 15, and breaking down 15 gives 15 ÷ 3 = 5. Since 5 is a prime number, we’ll stop here. Therefore, we can write: \[ 90 = 2 \times 3 \times 3 \times 5 \] This simplifies to: \[ 90 = 2 \times 3^2 \times 5 \] Don’t worry; prime factorization can be as easy as pie once you get the hang of it! Just remember, the goal is to break the numbers down until you can’t break them down anymore – just like breaking up an argument between friends. Always get to the root!