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30030 has six prime numbers in its factorization (2x3x5x7x11x13).
Wiki User
∙ 11y ago
Wiki User
∙ 10y agoThe first number with six distinct prime factors is:
2 x 3 x 5 x 7 x 11 x 13 = 30030
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Why is the prime factor 6?
To find the prime factorization of a number: Begin by listing 2 numbers that will multiply to make your number. 6 = 2 * 3 Can we find 2 numbers to multiply to make 2, or 3? (aside from 1) No, of course not. In fact, 2 and 3 are prime. Once you have all primes, you can stop. 6 = 2 * 3 2 * 3 is the prime factorization of 6.
Is 7 x 12 the prime factorization of 84?
Prime Factorization of 84No, 7 X 12 is not the prime factorization of 84. In order to be prime factorization, all factors must be prime numbers. 7 is prime, but 12 is not. Since it is an even number, 2 will divide into it. 2 times 6 is 12, so the factorization would be 7 X 2 X 6. Since 6 is not a prime number, that is not the prime factorizatio of 84. The factors of 6 are 2 and 3. That means the factorization is 7 X 2 X 2 X 3. All the factors are now prime numbers, so the prime factorization of 84 with the factors in order from smallest to largest is 2 X 2 X 3 X 7. When finding the prime factorization of any number, you have to keep factoring any composite factors until all the factors are prime.
What does the prime factorization mean in math for 5th grade?
Prime factorization is a way of writing a composite number as the product of its prime factors. The prime factors of 6 are 2 and 3. 2 x 3 is the prime factorization of 6.
How do you do the prime factorization of 42?
You find the prime factorization of 42 like this. You think what 2 number multiplied together give you 42: 6x7 7 is prime because the only factors it has is 1 and itself. 6 can be broken into 3x2. So you currently have 7x3x2. All these numbers are prime so you just found the prime factorization!
How do you find the prime factorization of 18 and 21?
Draw the prime factorization table and put both the numbers on it. Find common prime factors and divide both of them writing the products down. Do this until the quotients are either 1 or any prime number. Write down all the factors used and it will be the prime factorization. Multiply them and you will find the LCM of the numbers. Here, 18,21 6,7...................(/3) Prime factorization=6*7*3 LCM=42*3=126
What are the 6 consecutive prime numbers of 180?
The prime factorization of 180 is 2x2x3x3x5. Six consecutive prime numbers do not exist in its factorization.
Find the prime factorization of a number?
The prime factorization of 6 is 2 x 3.
What are the 6 prime numbers of 32?
There are five prime numbers in the factorization of 32; all twos.
Why is the prime factor 6?
To find the prime factorization of a number: Begin by listing 2 numbers that will multiply to make your number. 6 = 2 * 3 Can we find 2 numbers to multiply to make 2, or 3? (aside from 1) No, of course not. In fact, 2 and 3 are prime. Once you have all primes, you can stop. 6 = 2 * 3 2 * 3 is the prime factorization of 6.
Is 7 x 12 the prime factorization of 84?
Prime Factorization of 84No, 7 X 12 is not the prime factorization of 84. In order to be prime factorization, all factors must be prime numbers. 7 is prime, but 12 is not. Since it is an even number, 2 will divide into it. 2 times 6 is 12, so the factorization would be 7 X 2 X 6. Since 6 is not a prime number, that is not the prime factorizatio of 84. The factors of 6 are 2 and 3. That means the factorization is 7 X 2 X 2 X 3. All the factors are now prime numbers, so the prime factorization of 84 with the factors in order from smallest to largest is 2 X 2 X 3 X 7. When finding the prime factorization of any number, you have to keep factoring any composite factors until all the factors are prime.
What does the prime factorization of a number mean?
You can think of a factor as a number that divides another number with no remainder. For example, 3 is a factor of 6 since 3 goes into 6 two times with no remainder. Now if the factor is prime, then it is a prime factor. So in the example above, 3 is a prime factor. This is because the factor itself has only two factors, 1 and itself. 6 goes into itself also, but since 6 is not prime, it is not a prime factor. Now that you understand it, here is a more precise definition. A prime factor is a factor that is a prime number. In other words, one of the prime numbers that, when multiplied, give the original number.
What does the prime factorization mean in math for 5th grade?
Prime factorization is a way of writing a composite number as the product of its prime factors. The prime factors of 6 are 2 and 3. 2 x 3 is the prime factorization of 6.
Is 2 times 6 times 5 the prime factorization of 60?
no, 6 is not a prime number.
How can you find the prime factorization of numbers?
Prime Factorization "Prime Factorization" is finding which prime numbers you need to multiply together to get the original number. Example 1 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 factorization of 12 is 2 × 2 × 3, which can also be written as 22 × 3 Example 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 Then we try factoring 49, and find that 7 is the smallest prime number that works: 49 ÷ 7 = 7 And that is as far as we need to go, because all the factors are prime numbers. 147 = 3 × 7 × 7 = 3 × 72
Write 66 as a product of prime factors?
Prime factorization is the finding which prime number multiply to get to make the original number. 66: 1, 2, 3, 6, 11, 22, 33, 66 Prime Numbers: 2, 3, 11 Prime Factorization: 2 x 3 x 11
How do you do the prime factorization of 42?
You find the prime factorization of 42 like this. You think what 2 number multiplied together give you 42: 6x7 7 is prime because the only factors it has is 1 and itself. 6 can be broken into 3x2. So you currently have 7x3x2. All these numbers are prime so you just found the prime factorization!
What is the greatest common factor of 132 and 150?
The answer is 6.You need to do a prime factorization of the 2 numbers first. Then compare the 2 numbers and see what the greatest number they have in common is in the factorization of them. Next times what they have in common and there is your answer. The factorization of 132=11x3x2x2 The factorization of 150=5x5x3x2 There is a 2 and a 3 in each, so you multiply them both and you get 6.
