# How do you find factors of prime and composite numbers?

Any prime number has two factors: 1 and the number itself.

All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this.

Example: 210

210 Divide by two.

105,2 Divide by three.

35,3,2 Divide by five.

7,5,3,2 Stop. All the factors are prime.

2 x 3 x 5 x 7 = 210

That's the prime factorization of 210.

### What are the uses of prime and composite numbers?

All composite numbers have prime factors and these are used to find the highest common factor of 2 or more numbers and they are also used in finding the lowest common multiple of 2 or more numbers. Composite numbers have 2 or more factors while prime numbers have only 2 factors which are themselves and one

### Composite numbers between 25 and 35?

A composite number is a number that has factors other than 1 and itself. Assuming that you are not including the numbers 25 and 35. Prime numbers are numbers whose only factors are itself and one, so if you find the prime factors of each number: 26 factors to 2, 13 27 factors to 3,3,3 28 factors to 2,2,7 29 prime 30 factors to 2, 3, 5 31 prime 32 factors to 2,2,2,2,2 33 factors…

### What are the prime and composite numbers of 33 18?

To find the prime and composite factors of a number, list all the factor pairs of the number. Then, go through them and list the primes and composites. 33 1 x 33 3 x 11 The prime factors are 3 and 11. The composite factor is 33. 1 is neither prime nor composite. 18 1 x 18 2 x 9 3 x 6 The prime factors are 2 and 3. The composite factors are 6…

### How do you find a composite number?

To find a composite number, think of two numbers that can be multiplied to equal that number. For example, 15 is a composite number because its factors are 1, 3, 5 and 15. For a number to be composite, it should have more than two factors. To know 15 is a composite number, know: 1 x 15=15 3 x 5 =15 All composite numbers have more than two factors whereas prime numbers have only two…

### How can you find the prime factorization of a composite numbers?

All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of…

### Is 2 or 8 prime numbers?

A prime number is a number thats only factors are 1 and itself. So find the factors of 2. They are 1, and 2. So 2 is prime. A composite number is a number that has more than a pair of factors. So find the factors of 8. They are 1, and 8. They are 2, and 4. 8 has more than 1 pair of factors. So it is composite

### How many factors does a composite number have?

Composite numbers are those numbers greater than 1, that have more than 2 factors. Your question is too ambiguous! I don't completely agree with the words above. Composite numbers are all numbers that are not prime numbers. In other words, composite numbers are divisible by other numbers besides themselves and 1. To find the number of factors in a composite number, put the number into prime factored form. For example, the number 24 in prime…

### How do you find the least common multiple of two prime numbers?

Since two primes obviously have no common factors greater than 1, you find the least common multiple by multiplying them together. This is true for any pair of numbers with no common factors greater than 1., not just prime numbers. Two numbers with no common factors greater than one are called relatively prime. For example, 8 and 9 are relatively prime even though both are composite numbers.

### What are the difference between a composite number and a prime number?

A prime number has exactly two factors, 1 and the number itself. You should find no other factors of a prime number. A composite number has *more* than two factors. Examples of prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31 Examples of composite numbers: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33 Numbers that are neither prime…

### How can you find prime factors?

All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of…

### How do we find prime factors?

All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of…