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Prime factorization is nothing but breaking down a number into its multiples or factors until all the numbers you reach at are prime and cannot be factorized further.

Lets see

210 = 21*10 = 7 * 3 * 5 * 2 Now it cannot be factorized any further. Since all are primes.

210 = 21 * 31 * 51 * 71

Take Care

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Wiki User

15y ago
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2100

1050,2

525,2,2

175,3,2,2

35,5,3,2,2

7,5,5,3,2,2

22 x 3 x 52 x 7 = 2100

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Wiki User

12y ago
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22 x 5 x 7 = 140

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Wiki User

14y ago
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2^4 x 3^2 x 5

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Wiki User

7y ago
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22 x 52 = 100

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Wiki User

10y ago
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720 = 24 × 32 × 5

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Wiki User

14y ago
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123

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Ethan Chen

Lvl 2
2y ago
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Q: Express 210 as a product of its prime factors?
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What is a product of a prime factor?

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.


What number is missing in this prime factorization of 210?

As a product of its prime factors: 2*3*5*7 = 210


What does express each number as a product of its prime factors mean?

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.


How do you get the product of a prime factor?

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.


What is prime factors of a number mean?

Somewhere in front of you was a list of numbers. The instructions were asking you to break down the numbers and write them as a product of their prime factors. This is known as the prime factorization. The prime factorization of 30 is 2 x 3 x 5.