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All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this.
Example: 210
210 Divide by two.
105,2 Divide by three.
35,3,2 Divide by five.
7,5,3,2 Stop. All the factors are prime.
2 x 3 x 5 x 7 = 210
That's the prime factorization of 210.
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How do you express a number as the product of powers of its prime factors?
You factor the number into prime factors, dividing each prime out.
What number has only one prime factor?
No prime number only has one factor. Each prime number has itself and 1 as factors. Now, the number 1 of course has only one factor, but it is technically not a prime number.
When you have a number that has exactly two equal factors each factor is called what?
prime number
How do you find whether a number is a perfect square by using its prime factors?
In the prime factorisation of the number, each factor must appear an even number of times.In the prime factorisation of the number, each factor must appear an even number of times.In the prime factorisation of the number, each factor must appear an even number of times.In the prime factorisation of the number, each factor must appear an even number of times.
What do you called a number with only one factor?
prime * * * * * No, the only number with just one factor is 1. Each prime has TWO factors: 1 and the prime itself.
What are the factors and prime factors of 103?
103 is a prime number. The only two factors of a prime number are 1 and itself. The only factor pair of 103 is 1 x 103. There is only one factor pair of a prime number. The proper factors of 103 are only 1 or, if the definition you are using excludes 1, there are none. The only prime factor of 103 is 103. There is only one prime factor of a prime number - itself. The distinct prime factor (listing each prime factor only once) of 103 is also 103.
What are distinct prime factors?
Distinct prime factors are the prime factors that are distinct (or different) from each other. A list of distinct prime factors is a list of one of each different prime number that is a factor. For example, the prime factors of 8 are 2, 2, and 2. The only distinct prime factor is 2, which occurs multiple times.
What are the factors and prime factors of 79?
79 is a prime number. The only two factors of a prime number are 1 and itself.The only prime factor of 79 is 79. There is only one prime factor of a prime number - itself.The distinct prime factor (listing each prime factor only once) of 79 is also 79.The prime factorization of 79 is 79. In some cases, to emphasize that it is prime, you might write the prime factorization as 1 x 79.
Find the smallest integer k such that 756k is a perfect cube?
Factor 756 into prime factors. Then add additional prime factors, such that each prime factor occurs a number of times that is a multiple of 3. The product of the additional prime factors is "k".
What is the product of the common prime factors of each number?
That's the Greatest Common Factor, or GCF.
Greatest common factor for 14 and 49?
Factor each number into its prime factors. 14 = 2 * 7 49 = 7 * 7 We take all the prime factors they have in common, and multiply. In this case the only prime factor they have in common is 7, so that is the answer.
What are the factors and prime factors of 43?
43 is a prime number therefore the only two factors are 1 and itself (43) 43 is a prime number. The only two factors of a prime number are 1 and itself. The two factors of 43 are 1 and 43. There are only two factors of a prime number. The only factor pair of 43 is 1 x 43. There is only one factor pair of a prime number. The proper factors of 43 are only 1 or, if the definition you are using excludes 1, there are none. The only prime factor of 43 is 43. There is only one prime factor of a prime number - itself. The only distinct prime factor (listing each prime factor only once) of 43 is also 43. The prime factorization of 43 is 43. In some cases, to emphasize that it is prime, you might write the prime factorization as 1 x 43. NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common.
