write the prime factorization
of 51,051.
well,try 51 first
51 * 1001
now look for simple products that end in one, like 81 and 21
9 does not work but 3*7 = 21 and 7 works
so
51 * 7 * 143
now we are in familiar territory :
13*11 = 143
so
51*7*13*11
Unless you can factor 51, we are there.
use every thing you have learned and put it together. teahers and people who loves you only gives you presure because they love you . remember those people and try your best.
To find the prime factorization of 51,051, we need to break it down into its prime factors.
Step 1: Find the Lowest Prime Factor
To start, we check for the lowest prime factor, which is 2. However, 51,051 is an odd number, so it is not divisible by 2.
Step 2: Check for the Next Prime Factors
Next, we check for the next lowest prime factor, 3. To determine if 51,051 is divisible by 3, we add up its digits: 5 + 1 + 0 + 5 + 1 = 12. Since 12 is divisible by 3, 51,051 is also divisible by 3.
Step 3: Divide by the Prime Factor
Dividing 51,051 by 3, we get 17,017. Therefore, the prime factorization of 51,051 includes the factor 3.
Step 4: Continue Dividing
Now, we move on to the next prime factor. Let's check if 17,017 is divisible by 2. Since it is not, we move on to the next prime number, 3. But 17,017 is not divisible by 3 either.
Step 5: Check for the Next Prime Factors
The next prime number is 5. We divide 17,017 by 5, which gives us 3,403.4. Since 3,403.4 is not an integer, we can conclude that 17,017 is not divisible by 5.
Step 6: Continue Dividing
We move on to the next prime number, 7. Testing if 17,017 is divisible by 7, we find that it is not.
Step 7: Check for the Next Prime Factors
The next prime number is 11. After dividing 17,017 by 11, we get 1,547. Since 1,547 is a prime number, we have found the prime factorization of 51,051.
Step 8: Write the Prime Factorization
In summary, the prime factorization of 51,051 is as follows:
51,051 = 3 * 17,017
So, the prime factorization of 51,051 is 3 * 17,017.