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Q: What is the smallest integer you need to add to 37 to get the next prime number after 37?
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How do you find the prime factorization of any number?

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


How can you tell big numbers are prime number?

There is no easy way. You will have to try dividing it by the smallest prime (2), then the next one (3) and continue until you have tried out the all the primes up to and including the square root of the number. You do not need to find the quotient, you only need check for divisibility.


How do find if a number is prime?

There is no easy way. You will have to try dividing it by the smallest prime (2), then the next one (3) and continue until you have tried out the all the primes up to and including the square root of the number. You do not need to find the quotient, you only need check for divisibility.


How can you do prime factorization with prime numbers?

There is no need to do prime factorization as prime numbers are already prime. You do not need to find the prime numbers that when multiplied together create the number.


How do you write a integer?

Integers only just need to be put with no negative signs. You do not need a special symbol, just eliminate negative signs in front of the number is there are any. Example: integer of 6 = 6 integer of -2 = 2 integer of -1025614 = 1025614 integer of 93 = 93

Related questions

What is the smallest positive integer that 248832 can be multiplied by in order for the product to be a perfect square?

The prime factorisation of 248832 is 2¹⁰ × 3⁵ Every perfect square number has a prime factorisation where each prime is to an even power. 2 has an even power 3 has an odd power, so need an extra power → multiple 248832 by 3 which gets (2⁵ × 3³)²


Do you need to know all the factors of a number in order to determine if its prime or composite?

No. If it is divisible by any smaller integer, it is composite.


What is the smallest number that has 5 different prime factors?

To calculate this interesting number you need to use the five smallest prime numbers. A prime number is one which is not evenly divisible by any other number (except itself and 1). The first prime number is 2. then we have 3, 5, 7, 11, 13, 17 and so on. So, if you multiply 2 x 3 x 5 x 7 x 11 you'll get the smallest number with 5 different prime factors.


How do you determine when a number is prime?

There is no easy way. You will have to try dividing it by the smallest prime (2), then the next one (3) and continue until you have tried out the all the primes up to and including the square root of the number. You do not need to find the quotient, you only need check for divisibility.


How do you express a number as a product of prime factors?

Divide the number by it's lowest prime factor possible continuosly until you get a one. The numbers will then be the prime factors. For example: Take the number 66. 2 is the smallest prime number and it is a factor of 64. So 66/2 = 33. 33 is not divisible by 2 so we take the next lowest prime factor: 33/3 = 11. 11 is divisible by nothing but itself and so 11 is the next lowest prime factor (remember we always need the answer to remain an integer): 11/11 = 1. Therefore 66 = 2 x 3 x 11.


What is the smallest factor of a number that is the sum of its factors?

it always has at least 2 factorsI need to disagree on this one, since the number 1 only has one factor.Can you guess, which factor it does have :-)


Is a whole number a positive integer?

No, it need not be.


How do you find the prime factorization of any number?

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


What is the LCM of 15 and what is the meaning of the number?

You need at least two numbers to find an LCM, which is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder.


How can you tell big numbers are prime number?

There is no easy way. You will have to try dividing it by the smallest prime (2), then the next one (3) and continue until you have tried out the all the primes up to and including the square root of the number. You do not need to find the quotient, you only need check for divisibility.


How do find if a number is prime?

There is no easy way. You will have to try dividing it by the smallest prime (2), then the next one (3) and continue until you have tried out the all the primes up to and including the square root of the number. You do not need to find the quotient, you only need check for divisibility.


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