513 is divisible by 3 because the sum of its digits is a multiple of 3.
171 is divisible by 3 because the sum of its digits is a multiple of 3.
57 is divisible by 3 because the sum of its digits is a multiple of 3.
3 x 3 x 3 x 19 = 513
what is the prime factorization of 49, 88,95,105,98,52,42,68,91,60,72,56,144,370,168,124,515,725,220,450,1000,1040,and 2500
The prime factorization of 90 with exponents is: 2 x 32 x 5
One way to find the prime factorization of a number is to start with the lowest prime number and see if it evenly divides the number. If it does, check whether the result of the division is divisible by that same prime number. When the prime number you are testing does not evenly divide that number, continue with the next prime number. Continue this until the result of the division is a prime number.Check whether 34 is divisible by 2:34 ÷ 2 = 1717 is a prime number, so the prime factorization is finished.The prime factorization of 34 is 2 x 17.Another way to find the prime factorization of a number is to choose a factor pair for that number. Then, find a factor pair for each of those numbers that is not prime.A factor tree of 34 is34/ \2 17Both 2 and 17 are prime, so the tree is finished.The prime factorization of 34 is 2 x 17.
2x2x222
72 = 23 x 32
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.
they can help you by finding the two factors of the number given
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.
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.
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.
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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use divisibility rules to find at least four factors of the number 19
find the prime factorization of 268
You can't. You can only find the prime factorization of an integer.
find the prime factorization to the number 81
Prime factorization of 560 = 2x2x2x2x5x7.