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For the most part, it's done by intuition. You can easily see the first few numbers. For instance, if it's an even number, one of the prime factors must be 2 (usually the easiest number). Then when the number is an odd number, move on to 3, then 5...etc. you will rarely come across numbers which have high prime factors.
You can utilize some divisibility tests to save time....
Note: m|n = "m divides n"
2|m if m ends is even. <br />
3|m if the sum of the digits of m is divisible by 3 (999 = 9+9+9 = 27, divisible by 3)<br />
etc... a more complete table: http://en.wikipedia.org/wiki/Divisibility_rule
What else can I help you with?
what is it when you factor a whole number as a product of a prime numbers is called?
the prime factorization
What is prime factor of 0.000008?
Prime factors refer to whole numbers, not decimals.
What is the prime factor of one third?
Whole numbers have prime factors, not fractions.
Do all numbers have at least one prime factor?
All whole numbers except for -1, 0 and 1 have at least one prime factor.
Why is the longest factor string for any whole number is the prime factorization?
Shorter factor strings aren't composed entirely of prime numbers.
What is a common prime factor?
All numbers have factors. Some factors are prime numbers. A prime factor is a factor that is a prime number. A common prime factor is a prime factor that appears on the list of factors of two or more given numbers.
Are whole numbers and prime numbers the same?
No. Prime numbers are a subset of whole numbers.
Why is important to study rational and whole numbers?
Because understanding rational and whole numbers and in particular prime numbers it is useful when finding the lowest common multiple or the highest common factor of numbers.
How do you change whole numbers to prime numbers?
You don't. All prime numbers are also whole numbers.
Are whole numbers prime?
No because whole numbers that have only two factors are prime numbers
Can you dint the prime factorization in 4.8?
When a factor divides into a number, the result is a whole number. That's how you know the first number is a factor. If you were to allow the result to be a decimal, then all numbers would be factors. It defeats the purpose. Prime factorizations refer to whole numbers, not decimals.
How many whole number factor of 54?
There are 8. Also, by definition factors must be whole numbers because otherwise every non-zero number is a factor of every number (including prime numbers).
