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 transcript:

Prime Factorization

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

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.

prime number chart

prime number chart Is 12 a Prime Number? No, because it can be divided evenly by 3 or 4 (3÷4=12).

prime number chart 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.

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

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

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

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

What is the prime factorization of 147?

Can we divide 147 evenly by 2?

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

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

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

Work sheet practice

Prime Factorization Tool me-factorization-tool.htmlhttp:// me-factorization-tool.html