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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.

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It is form in which a number is expressed as a product of its prime factors. Conventionally, the factors are written in increasing order of magnitude and repeated factors may be represented in index or exponential form.

Q: What is prime factored form?

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3*5*11

73 7*7*7 = 343

17 is a prime and the only factorisation is 17 = 1*17

When the expression is broken down into its prime factors it is factored completely.

3y-6y in factored form = -3

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The fundamental theorem of arithmetic says any integer can be factored into a unique product of primes. The is the prime factored form.

As a product of its prime factors: 2*3*7 = 42

3*5*11

2 x 3 x 5

289 = 17 x 17

It is 23 and 1 because 23 is a prime number

2*3*3*5 = 90

It doesn't factor. 9 and 47 are co-prime.

19/100 (19 is prime, it can not be factored)

11 has no factors; it's a Prime number.

73 7*7*7 = 343

17 is a prime and the only factorisation is 17 = 1*17