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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.

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Q: How do you find a number's product of its prime factors?
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Related questions

How do you work out the product of prime factors?

Multiply prime numbers or prime factors to find their product.


Which prime numbers can be mulitiplied to form?

Prime numbers are used to find the product of the prime factors of composite numbers.


What is tha product of prime number 108?

to find a product of prime factors lets say you have 108 and you have to find the product of prime factors you should divide by 2 and then find the answer so 54, 54 isn't prime so you keep goin until the 2 numbers are prime and then you put down the prime numbers with a times in between. heather age 12


How do you find out which one are the prime numbers?

Prime numbers have only two factors.


How do you find the LCM of 10 and 11?

The LCM of two numbers is the product of the numbers if one of the numbers is a prime. Since 11 is a prime, the LCM of 10 and 11 is 110 (10 x 11). If neither number had been a prime, the LCM would have been the product of all the prime factors of the numbers to their greatest power.


Numbers multiplied together to find a product are called?

Product


Why is it useful to find the product of prime factors?

Once you have the prime factorization, it is much easier to find the factors, the proper factors, the GCF and LCM.


How do you find the least common multiple that are prime?

The LCM of a set of prime numbers is their product.


What dose prime factor mean?

it means to find out if the number is composite or prime


What is the method to find the prime factors of a composite number?

prime numbers


How do you find and express MMCCCX as a product of its prime factors?

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, ....... The above numbers are known as prime numbers. What they have in common is that each of them have only two factors, the number itself and one. Numbers can be expressed as the product of their prime factors. For example the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24 but only 2 and 3 are called prime factors because they are in fact prime numbers. So 24 expressed as the product of its prime factors is 2x2x2x3 or 23x3. The prime factors of 2310, which is MMCCCX in Roman numerals, are 2, 3, 5, 7 and 11. Therefore: MMCCCX expressed as the product of its prime factors is II*III*V*VII*XI. Note that number 1 is not considered to be a prime number because it has only one factor. David Gambell, Merseyside, England.


What does product of their prime factors mean?

Expressing a number as a "product of its prime factors" is also known as the prime factorization. To find the prime factorization, keep dividing a number by prime numbers until all the factors are prime. You can also use a factor tree or rainbow or fireworks or whichever method works best for you. Example: 330 330 165,2 55,3,2 11,5,3,2 2 x 3 x 5 x 11 = 330, expressed as a product of its prime factors.