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If you know the prime factorization of a number, you can find out the total number of factors.
Example: 210
21 x 31 x 51 x 71 = 210
Add one to the exponents and multiply them.
2 x 2 x 2 x 2 = 16, the total number of factors.
You know that 1, 2, 3, 5, and 7 are factors. You need three more to get halfway.
2 x 3 = 6
2 x 5 = 10
2 x 7 = 14
Divide all those numbers into 210.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
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How many factors can be used at the most to be a prime number?
Prime numbers only have two factors, one and the number itself.
What is the common denominator of 50 and 114?
Find the LCM Factor each number and use the prime factors the most they were used in either number. 50=1x2x5x5 114=1x2x3x19 LCM=1x2x3x5x5x19=2850
What is the division ladder what is the GCF of 82?
The division ladder is a method used to find the greatest common factor (GCF) of two numbers by listing the factors of each number. To find the GCF of 82, you would start by factoring the number 82. The factors of 82 are 1, 2, 41, and 82. Therefore, the GCF of 82 is 1.
Why does a square number always have an odd number of factors?
Factors can be listed as factor pairs. With square numbers, one of those pairs will be the same number twice. When written as a list, only one of them will be used, leaving an odd number of factors.
Is the number one a composite number?
A prime number has exactly 2 factors. A composite number must have at least 3 factors. 1 does not fall into either of the above definitions so it is not composite. It used to be considered a prime number but is not any longer.
