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That's the prime factorization.

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.

Q: What does it mean to express each number as a product of its prime factor?

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If you are talking about the number itself, they can be the same. To be specific: A prime number is a number that only has the factors 1 and itself. A factor is a number that when multiplied creates a product. A prime factor is a prime number that is multiplied to create a product.

A prime number has only one prime factor, and that prime factor is the number itself.

47 as a product of prime factors is: 47. [47 is a prime number, so it only has itself as a prime factor - note 1 is NOT a prime number.]

To express a composite number as the product of its prime factors.

As for example expressed as a product of its prime factors 210 is 2*3*5*7

Related questions

None. 7 is a prime number.

You factor the number into prime factors, dividing each prime out.

express 5610 as the product of prime factors

If you are talking about the number itself, they can be the same. To be specific: A prime number is a number that only has the factors 1 and itself. A factor is a number that when multiplied creates a product. A prime factor is a prime number that is multiplied to create a product.

It is: 26*32 = 576

A prime number has only one prime factor, and that prime factor is the number itself.

write the number 14as a product of prime factor?

47 as a product of prime factors is: 47. [47 is a prime number, so it only has itself as a prime factor - note 1 is NOT a prime number.]

That's usually as a product of its prime factors. Here's an example: 2 x 2 x 3 x 3 = 36

To express a composite number as the product of its prime factors.

To express a composite number as the product of its prime factors.

It is: 3*5*7 = 105