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.
Prime numbers don't factorize; they're already prime.
break it into prime number multiples,10 = 2 * 5 (both prime numbers)example: factorize 387(387) = 9 * 43 (both primes , end of excercise)factorize 390:(390) = 2 * (195) = 3 * (65) = 5 * 13 (both primes , end of excercise)
If you play the factor game, you factorize the number. If the number of factors are only 2 including 1 and number itself, then it is a prime.
3 times 5
It's more efficient. You want to end up with all prime numbers. You could divide by a composite number, but you'd just have to break that number down later. It saves steps.
220 = 2 x 2 x 5 x 11
2x2x2x2x3x3x11 =) Go to (http://www.purplemath.com/modules/factnumb.htm) to learn how to factorize
You can use prime numbers to factorize numbers, a very useful tool
You can use prime numbers to factorize numbers, a very useful tool.
When you factor a number, you break it down into factors that multiply up to the number. For example, 12=3x4. There is also prime factorize when you factor the number into primes. For example, 100=2^2x5^2.
Prime factor means the factors of the number which divides the number. Example :- 15= 3× 5 . Here the 3 and 5 are the prime factors of 15. Prime factors of 74 - 2×37.
2 x 2 x 3 x 19 = 228