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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 a number as a product of a prime factor?

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Related questions

write the number 14as a product of prime factor?

2x2x2x13 or 2cubedx13

Instead of saying, "Please write that number as a product of its prime factors," people might say, "Please factor that number."

Prime factorization

The answer is 2 and 19 since there both prime.

write the prime factorization of the number. simple as that.

It is: 5*7 = 35

2 x 31

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

1,107 = 3 x 3 x 3 x 41

27

2x2x2x7

The purpose of a factor tree is to notate the process of finding the prime factorization. If a number is already prime, a factor tree is not necessary.

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

3x31

the prime factorization

A single number can't have a common factor. In case you meant the product of its prime fators, that's 2^-4 x 5^-4.

2 x 3 x 5

3 x 3 x 11

It is: 2 times 19 equals 38

2 times 3 times 5

To write a composite whole number as the product of its prime factors is to write its prime factorization.

It is called the prime factorisation (or prime decomposition) of the composite number.