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No.
Look at the following examples:
The prime factors of 36 are 2, 2, 3, and 3.
The prime factors of 62 are 2 and 31.
The prime factors of 155 are 5 and 31.
The prime factors of 168 are 2, 2, 2, 3, and 7.
The prime factors of 194 are 2 and 97.
The prime factor of 197 is 197.
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Do larger numbers have more factors than smaller numbers?
Generally yes, but not in all cases. The largest prime number has over 22 million digits but only two factors whereas 60 has six times as many factors.
Explain Why the Numbers 0 and 1 have no prime factor?
2 is the smallest prime number. Numbers can't have factors larger than themselves. Zero and one aren't large enough to have prime factors.
Composite numbers vs prime numbers?
A composite number is a natural number that can be divided into smaller factors (which are also natural numbers). For example, 6 = 2 x 3. A prime number is an integer (greater than 1) that cannot be separated into smaller factors. For example, 7 can't be divided into smaller factors.
What are two numbers whose greatest common factor is 7 and whose sum is 105 such that the larger is twice the smaller and the smaller has only two prime factors?
Since one number is twice the other, the smaller number must be the greatest common factor. Since the greatest common factor is 7, that would make the other number 14. But, 7 is a prime number and has only one prime factor. However, the larger number, 14, has two prime factors. Also, the sum of the two numbers is 21, not 105. So, the information in the problem does not have a solution. Let us ignore the greatest common factor information. Let the smaller number be x. That means the larger number is 2x. x + 2x = 105 => 3x = 105 => x = 35. The two numbers are 35 and 70. The greatest common factor is 35. The smaller number, 35, has only two prime factors.
Are there prime numbers that are also square mumbers?
No. That isn't possible: A prime number, by definition, has no smaller factors. A square number does have a smaller factor - the number that is squared.
Do larger numbers have more prime factorization numbers than smaller numbers?
Usually, but not necessarily and not if they're prime. All prime numbers have the same number of factors.
Do larger numbers have more factors than smaller numbers?
Generally yes, but not in all cases. The largest prime number has over 22 million digits but only two factors whereas 60 has six times as many factors.
Do large numbers have more prime factors than smaller numbers?
Usually, but not necessarily and not if they're prime. All prime numbers have the same number of factors.
Do larger numbers always have more prime factors?
Not necessarily. 73 has far fewer prime factors than 72.
How are numbers prime and composite?
Prime numbers have only two factors. Composite numbers have more than two.
How do you calculate first ten prime numbers?
You go through each number, starting with 2, 3, 4, ... and check if the number has any smaller factors. If it has no smaller factors, you conclude it is a prime number. Continue until you have 10 prime numbers.
What is 3 prime and 5 prime?
3 and 5 are prime numbers. This means they can't be separated into smaller factors. For comparison, 9 is not a prime number, since it CAN be separated into smaller factors (9 = 3 x 3).
How do you get the prime factorization of large numbers?
The same way as with smaller numbers, it may take longer. Just keep dividing by prime numbers until all the factors are prime.
Explain Why the Numbers 0 and 1 have no prime factor?
2 is the smallest prime number. Numbers can't have factors larger than themselves. Zero and one aren't large enough to have prime factors.
How do you find the prime factorization of large numbers?
The same way as with smaller numbers, it may take longer. Just keep dividing by prime numbers until all the factors are prime.
Composite numbers vs prime numbers?
A composite number is a natural number that can be divided into smaller factors (which are also natural numbers). For example, 6 = 2 x 3. A prime number is an integer (greater than 1) that cannot be separated into smaller factors. For example, 7 can't be divided into smaller factors.
How many two digit numbers which have three factors?
The only numbers which have exactly three factors are perfect squares of prime numbers. That only gives us two results: 5^2 = 25 7^2 = 49 The squares of any other prime numbers are either too small or too large to have two digits. (The next smaller prime number is 3, and the next larger prime number is 11.)
