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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.

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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.

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.

The prime factorization of a number is writing it as a product of its prime factors.

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factor tree

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

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

A factor tree is one such.

Prime squares

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 factor tree is one such diagram.

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

Calculate probability and if you mean factor tree diagram, it can find the prime factors of any number.

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