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What are the prime factors of 30030?

Updated: 10/17/2024
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15y ago

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This is a homework question. I won't answer it directly, but I'll ask you some questions that lead you to the answer.

First, divide 30030 by 30 (why? because it looks like the larger number is divisible by 30). Does it divide evenly? If the answer is yes, both the answer and 30 are factors.

Use trial division to identify the prime factors of 30 and the answer to the above division, assuming the result was not a decimal.

Hint: there are six prime factors of 30030, and this particular group of prime factors is very special. These factors are the six _____ contiguous prime numbers. I found the answer in just a couple of minutes, using only paper and pencil.

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Q: What are the prime factors of 30030?
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Related questions

What number has 6 numbers in its prime factorization?

30030 has six prime numbers in its factorization (2x3x5x7x11x13).


What is the prime factorization of 30030?

The prime factors of 30,030 are: 2, 3, 5, 7, 11 and 13.


What is tyhe smalest number with 6 dierfent prime factors?

2 x 3 x 5 x 7 x 11 x 13 = 30030


Prime factorization with six prime numbers?

The prime factorization of 30030 is 2 x 3 x 5 x 7 x 11 x 13.


What is the prime factorization that has 6 numbers?

2 x 2 x 2 x 2 x 2 x 2 = 64 2 x 3 x 5 x 7 x 11 x 13 = 30030


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LCM = 6306300143*44100 = 6306300210*30030 = 6306300HCF = 210210*210 = 44100143*210 = 30030


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If the primes are of multiplicity 1, then the answer is 30030. Otherwise it is 64.


What is the LCM of 154 and 1365?

The LCM is 30030.


What prime factorization has six numbers?

2 x 3 x 5 x 7 x 11 x 13 = 30030


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2 x 2 x 2 x 2 x 2 x 2 = 64 2 x 3 x 5 x 7 x 11 x 13 = 30030


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Prime factors are factors that are also prime numbers.


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