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Factoring and Multiples
Prime Numbers

What is the prime factorization of 1001 square?


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Answered 2011-02-23 23:01:00

1,0012 = 1,002,001. The prime factorization of 1,002,001 is:

  • None! 1,002,001 is a Prime number. Its only factors are 1 and 1,002,001.
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What is the prime factorization 1001?

As a product of its prime factors: 7*11*13 = 1001






What are the steps for the prime factorization of 1001?

1001 Divide by seven. 143,7 Divide by eleven. 13,11,7 Stop. 7 x 11 x 13 = 1001


How do you show your work for prime factorization of 1001?

1001 / 7 = 143 143 / 11 = 13 so prime fact. is 7 x 11 x 13


What is the square root of 256 evaluated using prime factorization?

The prime factorization of 256 is 28. The square root is 24 or 16.



Given the prime factorization of an integer how can you determine if our integer is a perfect square?

Given the prime factorization of an integer how can you determine if our integer is a perfect square?


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The square root of 512 is neither an integer, nor even a rational number, so it has no prime factorization.


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The prime factorization of 36 is 2 x 2 x 3 x 3. The prime factorization of the square root of 36 is 2 x 3, or 6.


What is the prime factorization of the square root for 10000 using exponents?

The prime factorization of 10,000 is 24 x 54 The square root is 22 x 52 or 100.


Is the number 1001 a prime number?

No, the number 1001 is not a prime number. The number 1001 can be divided by 7.


What is the prime facotization of the square root of 18?

Since the square root of 18 is not an integer, it doesn't have a prime factorization.


What is the prime factorization of the square root of 99856?

The prime factorisation of the square root of 99856 is 2*2*79.


What is the square root of 11025 by prime factorization?

The square root of 11,025 is 105. The prime factorization of 105 is: 3 x 5 x 7


What are the prime factors of 1001?

The prime factors of 1001 are 7, 11 and 13


What is the prime factorization of 144 written with the exponents?

144 is a perfect square, whose square factor is 12: Therefore we simply repeat the prime factorization of 12 (3,2,2) twice: 2,2,2,2,3,3.


Is 1001 prime?

no. 7*11*13 = 1001.


Is 1001 a prime or composite number?

1001 is not prime. 1001 = 7 * 11 * 131001 is equal to 7 x 11 x 13, so it is composite.


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How can you get prime factorization of 1001 by Indian method?

It's difficult to draw that on this website, but I can talk you through it. Divide 1001 by 7 and get 143. Divide 143 by 11 and get 13. Divide 13 by 13 and get 1. Stop there. 7 x 11 x 13 = 1001


What is the prime factorization of 2?

Prime Factorization of 22 is a prime number, so it does not have a prime factorization.


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