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Prime Factorization. Prime Numbers A Prime Number is a whole number, greater than 1, that can be evenly divided only by 1 or itself.

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Presentation on theme: "Prime Factorization. Prime Numbers A Prime Number is a whole number, greater than 1, that can be evenly divided only by 1 or itself."— Presentation transcript:

1 Prime Factorization

2 Prime Numbers A Prime Number is a whole number, greater than 1, that can be evenly divided only by 1 or itself.

3 Prime Numbers A Prime Number is a whole number, greater than 1, that can be evenly divided only by 1 or itself. The first few prime numbers are: 2, 3, 5, 7, 11, 13, and 17..., and we have a prime number chart if you need more.

4 prime number chart 2357111317192329 313741434753596167 717379838997101103107109 113127131137139149151157163 167173179181191193197199211223 227229233239241251257263269 271277281283293307311313317331 337347349353359367373379383 389397401409419421431433439443 449457461463467479487491499 503509521523541547557563569571 577587593599601607613617619 631641643647653659661673677683 691701709719727733739743751 757761769773787797809811821823 827829839853857859863877881 883887907911919929937941947953 967971977983991997

5 prime number chart 2357111317192329 313741434753596167 717379838997101103107109 113127131137139149151157163 167173179181191193197199211223 227229233239241251257263269 271277281283293307311313317331 337347349353359367373379383 389397401409419421431433439443 449457461463467479487491499 503509521523541547557563569571 577587593599601607613617619 631641643647653659661673677683 691701709719727733739743751 757761769773787797809811821823 827829839853857859863877881 883887907911919929937941947953 967971977983991997 Is 12 a Prime Number? No, because it can be divided evenly by 3 or 4 (3÷4=12).

6 prime number chart 2357111317192329 313741434753596167 717379838997101103107109 113127131137139149151157163 167173179181191193197199211223 227229233239241251257263269 271277281283293307311313317331 337347349353359367373379383 389397401409419421431433439443 449457461463467479487491499 503509521523541547557563569571 577587593599601607613617619 631641643647653659661673677683 691701709719727733739743751 757761769773787797809811821823 827829839853857859863877881 883887907911919929937941947953 967971977983991997 Is 12 a Prime Number? No, because it can be divided evenly by 3 or 4 (3÷4=12). Is 73 a Prime Number? Yes, it can only be divided by 73 or 1.

7 Prime Factorization "Prime Factorization" is finding which prime numbers you need to multiply together to get the original number.

8 What are the prime factors of 12? It is best to start working from the smallest prime number, which is 2, so let's check: 12 ÷ 2 = 6

9 What are the prime factors of 12? It is best to start working from the smallest prime number, which is 2, so let's check: 12 ÷ 2 = 6 But 6 is not a prime number, so we need to factor it further: 6 ÷ 2 = 3

10 What are the prime factors of 12? It is best to start working from the smallest prime number, which is 2, so let's check: 12 ÷ 2 = 6 But 6 is not a prime number, so we need to factor it further: 6 ÷ 2 = 3 And 3 is a prime number, so: 12 = 2 × 2 × 3 As you can see, every factor is a prime number, so the answer must be right - the prime factorisation of 12 is 2 × 2 × 3, which can also be written as 22 × 3

11 What is the prime factorization of 147?

12 Can we divide 147 evenly by 2?

13 What is the prime factorization of 147? Can we divide 147 evenly by 2? No, so we should try the next prime number, 3: 147 ÷ 3 = 49

14 What is the prime factorization of 147? Can we divide 147 evenly by 2? No, so we should try the next prime number, 3: 147 ÷ 3 = 49 Then we try factoring 49, and find that 7 is the smallest prime number that works: 49 ÷ 7 = 7

15 What is the prime factorization of 147? And that is as far as we need to go, because all the factors are prime numbers. 147 = 3 × 7 × 7 = 3 × 72

16 Work sheet practice

17 Prime Factorization Tool http://www.mathsisfun.com/numbers/pri me-factorization-tool.htmlhttp://www.mathsisfun.com/numbers/pri me-factorization-tool.html


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