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What do we know about a number that has an odd number of distinct factors?
It's a perfect square.
Does a perfect square number have and even or odd number of distinct factors show how you determine your answer?
Odd. I determined my answer by looking at the number of factors of a square number.
When does a number has 3 distinct factors?
When the number is a square of a prime number. Of course, it will have a repeated factor, but it will still only have 3 distinct factors. 4, 9, 25, 49, 121 are some examples.
Does a perfect square number have even or odd number of distinct factors?
An odd number.
What is the difference between factor pairs and distinct factor pairs?
The difference is between factor pairs and distinct factors. With square numbers, one of the factor pairs will be the same number twice. When listing the distinct factors, that number is only listed once.
How many distinct factors does the number 64 have?
Seven distinct factors.
Why is 25 a composite number?
A composite number is a number that is not a prime number, ie it has more than two distinct factors. The factors of 25 are 1, 5, 25 - three distinct factors.
How many distinct factors does the number 36 have?
Nine factors.
The result of multiplying when factors are the same?
A square number
What is the positive difference between the number of distinct prime factors of 15 2 and the number of distinct prime factors of 64 3?
Oh, dude, the positive difference between the number of distinct prime factors of 15 squared (225) and 64 cubed (262,144) is like 4. Prime factors are like those VIP numbers that can't be divided by anything except 1 and themselves. So, 225 has 2 distinct prime factors (3 and 5), and 262,144 has 1 distinct prime factor (2). Subtract 1 from 2, and you get 1. Wow, math can be fun, right?
Differentiate prime numbers and composite numbers?
A prime number is a whole number that has only two distinct factors: 1 and the number itself. A composite number has at least three distinct factors.
What is the least number that has eight distinct factors?
24
How many prime factors does the number 875 have?
Two distinct prime factors
What sort of numbers have an odd number of factors why?
A perfect square has an odd number of distinct factors, because two of its factors are the same number.
What is factors that appear in a complete list of factors for a given number only once?
distinct factors
How can you tell from the number of factors when a product is positive or negative?
If you are multiplying negative numbers, an odd number of factors will have a negative product. An even number of factors will have a positive product.
What do we know about a number that has an odd number of distinct factors?
It's a perfect square.
