Download presentation

Presentation is loading. Please wait.

Published bySteven Price Modified over 8 years ago

1
Prime Factorization.

2
Prime number Composite numbers Prime factorization Factor tree

3
Prime number a number that has exactly two factors 1 and itself. 7 13 29 2

4
Composite number A number that is not prime A number that has more than two factors 4 (1, 2, 4) 24 (1, 2, 3, 4, 6, 8, 12, 24) 18 (1, 2, 3, 6, 9, 18)

5
Prime factorization writing a number as a product of prime numbers.

6
Find the prime factorization of 300. 300 3100 10 25253 × × ×××× × The Prime Factorization is 2×2×3×5×5 or 2 2 × 3 × 5 2 3

7
Find the prime factorization of 112. 112 256 78 2472 × × ××× × The Prime Factorization is 2×2×2×2×7 or 2 4 × 7 2 2272×××2×

8
Find the prime factorization of 324. 324 2162 281 9922 × × ××× × The Prime Factorization is 2×2×3×3×3×3 or 2 2 × 3 4 2 3322×××3×3×

9
300112 2×2×3×5×5 2×2×2×2×7 7 2 2 2 2 3 5 5 Make a Venn diagram from the prime factorization of 112 and 300. The GCF is the product of the intersection numbers. (2 × 2 = 4) The LCM is the product of ALL the numbers in the Venn diagram. LCM: 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 = 8400

10
The LCM is the product of ALL the numbers in the Venn diagram. LCM: 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 = 9072 The GCF is the product of the intersection numbers. (2 × 2 = 4) 324 112 2×2×3×3×3×3 2×2×2×2×7 7 2 2 2 2 3 3 3 3 Make a Venn diagram from the prime factorization of 112 and 324.

11
The GCF is the product of the intersection numbers. (2 × 2 × 3 = 12) The LCM is the product of ALL the numbers in the Venn diagram. LCM: 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 = 8100 324 300 2×2×3×5×5 2×2×3×3×3×3 2 2 3 3 3 3 5 5 Make a Venn diagram from the prime factorization of 324 and 300.

12
324 300112 2×2×3×5×5 2×2×3×3×3×3 2×2×2×2×7 7 2 2 2 2 3 3 3 3 5 5

13
7530 3×5×52×3×5 3 5 2 5 Make a Venn diagram from the prime factorization of 30 and 75. The GCF is the product of the intersection numbers. (3 × 5 = 15) 215 235 × ×× 325 355 × ×× The LCM is the product of ALL numbers. (2 × 3 × 5 × 5 = 150)

14
What does it mean if the Venn diagram of the prime factorizations of two numbers had no numbers in the intersection? Find two numbers that would have a Venn diagram like this.

15
Find the prime factorization of -630.

17
Homework

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google