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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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Q: How do you write the product of a prime factor?

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write the number 14as a product of prime factor?

The answer is 2 and 19 since there both prime.

It is: 5*7 = 35

2x2x2x13 or 2cubedx13

2 x 31

As a product of its prime factors: 2*3*3*3*5 = 270

As a product of its prime factors in exponents: 2^7 times 5^2 = 3200

It is: 2*3*7 = 42

As a product of its prime factors: 2*2*2*2*3*5*5 = 1200

2 x 3 x 5

3 x 3 x 11

It is: 2 times 19 equals 38

2 times 3 times 5

44 = 2 x 2 x 11

3 x 3 x 11 = 99

3 x 5 x 7 = 105

It is: 2*2*2*2*3 = 48

What is the product of th e prime factor 344

A prime factorization expresses an integer as a product of prime factors.

No. By definition, the product has a proper factor - the prime.

express 5610 as the product of prime factors

1 is not prime, so it can't be a prime factor.

252 2x126 2x2x63 2x2x3x3x7

It is: 2*3*3*5*5*17 = 7650

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