Create a method to find the factors of any real number?

In summary, a method can be created to find the factors of any real number, but it can only work for integers. To find the factors of 45000, it can be reduced step by step by dividing it by prime numbers until the quotient is 1. The prime factorization of 45000 is 2^3 * 3^2 * 5^4. This method can also be applied to factorize other numbers, such as 9875635421.
  • #1
no name
48
0
create a method to find the factors of any real number ? and then use it to find the factors of 45000 ?
 
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  • #2
Answer:You cannot factor every real number. You can only factor integers.
 
  • #3
ok ... i am sorry ... i meant integers
 
  • #4
Just reduce it step by step: 45000=(45)(1000)=(5)(9)(10)(10)(10)=(2^3)(3^2)(5^4)
 
  • #5
What I learned in elementary school is to divide successively by all primes until you get 1 in the quotient.
45000 / 2
22500 / 2
11250 / 2
5625 / 3
1875 / 3
625 / 5
125 / 5
25 / 5
5 / 5
1
[tex]45000 =2^3*3^2*5^4[/tex]
 
  • #6
elaborating on SGT's and Galileo's, all the factors of 4500 are any combinations of their prime factorizations. maybe you got that.. but some kids don't...

at any rate, this sounds more like a homework problem than a teaser...
 
  • #7
Factorise 9875635421
I dare ya!

[think]my homework will be finished soon![/think]

-- AI
 

1. How do you define factors of a real number?

The factors of a real number are the numbers that can be multiplied together to get the original number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.

2. What is the importance of finding factors of a real number?

Finding the factors of a real number can be useful in many mathematical calculations, such as simplifying fractions, finding common denominators, and determining prime numbers.

3. What is the most efficient method to find factors of a real number?

The most efficient method to find factors of a real number is to use a loop that starts at 1 and goes up to the number itself, checking if each number is a factor by dividing the original number by it. This method is known as the trial division method.

4. How do you handle negative real numbers when finding factors?

Negative real numbers have the same factors as their positive counterparts. However, when finding factors of a negative real number, we also need to consider the negative factors. For example, the factors of -12 are -1, -2, -3, -4, -6, and -12.

5. Can any real number have more than two factors?

Yes, any real number can have more than two factors. For example, the number 12 has six factors. However, if a real number is a prime number, it will only have two factors (1 and itself).

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