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A factor tree is very useful when identifying the prime factors of a number. You draw two lines off of it and write two numbers that multiply together to make that number. If one of the numbers cannot be divided any further, then circle it. That is a prime number.

Draw two lines off of numbers that can be divided further, so you have multiple branches dividing off into certain numbers. Once all the numbers have been divided down, you are left with prime numbers which you can then multiply to get back to the original number.

Q: What is a diagram used to identify the prime factors of a number?

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factor tree

A factor tree

Find the prime factorization. Identify the distinct prime factors. Add them up.

To find this you first have to identify the prime factors of each number. In this case they are: 15 = 3x5 51 = 3x17 The next step is to identify any common prime factors. In this case both numbers have a 3 as a prime factor. Therefore the HCF of 15 and 51 is 3.

All numbers have factors. Some factors are prime numbers. These are known as prime factors. The set of prime factors is a subset of the set of factors for any given number.

Related questions

factor tree

Any prime number has only 2 factors which are itself and one

A diagram is not needed because 2 is a prime number whose only factors are itself and one which makes it a prime number in common with all other prime numbers.

A prime number is a positive integer with two factors: one and the number itself.

A factor tree is one such diagram.

Prime squares

To identify whether a number is prime or composite, look at its factors. A prime number has exactly two factors: one and itself. A composite number has more factors and can be written as the product of prime numbers. For example: Factors of 17: 1 and 17 so 17 is prime. Factors of 102: 1, 2, 3, 6, 17, 34, 51 and 102 so 102 is composite. It can be expressed as the product of prime numbers by prime factoring: 2 x 3 x 17

it is a way of finding out all of the prime numbers that you have to multiply to equal the desired number.

A factor tree

A factor tree

Find the prime factorization. Identify the distinct prime factors. Add them up.

A prime number has only two factors which are itself and one whereas a composite number has more than two factors