Prime Factorization Concepts

The video tutorial reviews the concept of prime factorization, explaining that prime numbers have only two factors: one and itself. It demonstrates the prime factorization process using the numbers 40 and 315. For 40, the factors are broken down into 2 * 2 * 2 * 5, and for 315, the factors are 3 * 3 * 5 * 7. The tutorial emphasizes identifying prime numbers and using them to express a number as a product of primes.

What is the first step in finding the prime factorization of 40?

• Subtract 10 from 40

• Divide 40 by 3

• Multiply 40 by 2

• Find two factors of 40

Which of the following is a prime factor of 40?

• 8

• 2

• 10

• 4

What is the prime factorization of 40?

• 2 * 5 * 4

• 10 * 4

• 4 * 10

• 2 * 2 * 2 * 5

What is the first factorization step for the number 315?

• Subtract 63 from 315

• Break 315 into 5 and 63

• Multiply 315 by 5

• Divide 315 by 2

Which of the following is the correct prime factorization of 315?

• 5 * 63

• 9 * 7 * 5

• 3 * 5 * 21

• 3 * 3 * 5 * 7