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You can test successive prime numbers to see if your number is divisible by them, but knowing the divisibility rules will help you eliminate some steps, depending on what your number is.
If your number is odd, you don't have to test for 2.
If the sum of your number's digits do not total a multiple of 3, you don't have to test for 3.
If your number doesn't end in a 5 or 0, you don't have to test for 5.
Just by looking at your number, you can include or eliminate the three most common primes if you know the rules of divisibility.
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How can you use divisibility rules to help you find the prime factorization of numbers?
Just knowing the divisibility rules for the first four prime factors (2, 3, 5 and 7) will help find the prime factorizations of a large percentage of the numbers you will encounter. At the very least, dividing your original number by those factors should cut it down to a manageable size. The first thing you do when starting a prime factorization is notice whether the number is even. If it is, you can take out two as a factor. If not, you can skip over it. The same with 3 and 5. If you know they are not factors just by looking at the number, it saves a lot of trial and error.
How can disibility rules help you find the prime factorization of 513?
bla bla bla ...
What is the prime factorization of 268?
find the prime factorization of 268
Find the prime factorization of 560?
Prime factorization of 560 = 2x2x2x2x5x7.
Find The prime factorization of 32?
Prime factorization of 32 is 2x2x2x2x2 (or 25).
How can divisibility rules help you to find the prime factorization of 53?
The divisibility rules will show that 53 is not divisible by anything other than 1 and itself. Since it is already prime, it doesn't have a factorization.
How can divisibility rules help you find the prime factorization of a number?
they can help you by finding the two factors of the number given
How do you find the prime factorization of 515?
By the rules of divisibility, you know that 515 is divisible by 5. 515 divided by 5 is 103. Since both 5 and 103 are prime and can't be divided further, stop there. The prime factorization of 515 is 5 x 103.
How divisibility rules can help you find the prime factorization?
Suppose you were trying to find the prime factorization of 123. You know that half of the divisors will be less than the square root. Since the square root is between 11 and 12, you only need to test 2, 3, 5, 7 and 11 as prime factors. If you know the rules of divisibility, you already know that 2 and 5 aren't factors and 3 is. It saves time.
How can you use divisibility rules to help you find the prime factorization of numbers?
Just knowing the divisibility rules for the first four prime factors (2, 3, 5 and 7) will help find the prime factorizations of a large percentage of the numbers you will encounter. At the very least, dividing your original number by those factors should cut it down to a manageable size. The first thing you do when starting a prime factorization is notice whether the number is even. If it is, you can take out two as a factor. If not, you can skip over it. The same with 3 and 5. If you know they are not factors just by looking at the number, it saves a lot of trial and error.
How can disibility rules help you find the prime factorization of 513?
bla bla bla ...
What is the prime factorization of 268?
find the prime factorization of 268
How do you find the prime factorization of a radical?
You can't. You can only find the prime factorization of an integer.
How do you find procedure prime factorization 81?
find the prime factorization to the number 81
Find the prime factorization of 560?
Prime factorization of 560 = 2x2x2x2x5x7.
Find the prime factorization for 153?
The prime factorization of 15332 • 17153 is not a prime number
Can you find the prime factorization of 11?
11 is already prime; no need for a factorization.
