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A number that fits your criteria is 2^3 * 3^2 * 5, which equals 360. In this factorization, the Prime number 2 appears three times (2^3), the prime number 3 appears twice (3^2), and the prime number 5 appears once. The resulting product, 360, is less than 1000. However, if we want a number greater than 1000, we can use 2^3 * 3^2 * 5^2, which equals 1800.
What else can I help you with?
What is a number greater than 1000 whose prime factorization contains 1 prime number that does not repeat 1 prime number that repeats 3 times and a prime number that repeats twice?
A number that fits these criteria is 1001. Its prime factorization is (7^1 \times 11^1 \times 13^1), which does not satisfy the requirement of having one prime that repeats three times and another that repeats twice. Instead, consider the number (5400), which has the prime factorization (2^3 \times 3^3 \times 5^1). Here, 2 repeats three times, 3 repeats three times, and 5 appears once, but it also does not fit the criteria. Thus, an example that meets the criteria is (5400), which can be expressed as (2^3 \times 3^3 \times 5^1) where 2 appears three times, 3 appears twice, and 5 appears once.
What is a number greater than 1000 whose prime factorization contains 1 prime number that does not repeat?
3000. It contains non-repeating 3 as a factor.
Can a number greater than 100 have only one number in its prime factorization?
yes , 11
Can a number over 100 only have 1 in its prime factorization?
1 is not a prime number, so it wouldn't be present in any prime factorization. Prime numbers don't really have factorizations, that is, the factorization is the number itself. There are prime numbers greater than 100.
Does each natural number greater than 1 have its own unique prime factorization?
yes
What is a number greater than 1000 whose prime factorization contains 1 prime number that does not repeat?
3000. It contains non-repeating 3 as a factor.
How can you tell which prime factorization is for the greater number?
Multiply them out.
Can a number greater than 100 have only 1 number in it's prime factorization?
Yes. Any prime number greater than 100 has only itself in its prime factorization. Examples: The prime factorization of 101 is 101. The prime factorization of 109 is 109. The prime factorization of 127 is 127. The prime factorization of 311 is 311. The prime factorization of 691 is 691.
Can a number greater than 100 have only one number in its prime factorization?
yes , 11
How can you use the prime factorization to determine whether 35 is a factor of the number?
If the prime factorization contains a 5 and a 7, 35 is a factor.
A multiple of 5 does not end in 5 prime factorization of the number is a string of three numbers two of the prime factorization are the same and greater than the seventh square number?
567
Can a number over 100 only have 1 in its prime factorization?
1 is not a prime number, so it wouldn't be present in any prime factorization. Prime numbers don't really have factorizations, that is, the factorization is the number itself. There are prime numbers greater than 100.
What is every number greater than 1 can be written in prime factorization form?
It is a true statement.
What is every number greater then 1 can be written in prime factorization form?
Those are composite numbers.
Does each natural number greater than 1 have its own unique prime factorization?
yes
What composite number is greater than 1000 whose prime factorization contains 1 prime number that does not repeat 1 prime number that repeats three times and 1 prime number that repeats twice?
Take any three prime numbers and repeat according to the instructions. If your number is not large enough, try with larger prime numbers. Especially if you increase the number that repeats thrice, you'll quickly get large numbers.
What is decimal number that repeats?
A repeating decimal is a decimal that contains a series of numbers that repeat indefinitely. Examples include: 3.44444... 4.565656... 2.356356356... An ellipsis (...) at the end of the decimal signals that it repeats indefinitely.
