How to you do the prime factorisation of 350 using exponets?
Just break it down into smaller and smaller factors until are are prime.
350 = 50 * 7
= 10 * 5 * 7
= 5*2*5*7
= (5^2)*2*7
1000
To find the prime factorization of 1000, you can follow these steps:
1. Start by dividing the number by the smallest prime number, which is 2.
2. Divide 1000 by 2 to get 500.
3. Repeat the process with the new quotient, 500. Divide it by 2 again to get 250.
4. Continue dividing by 2 until you can no longer divide evenly.
250 divided by 2 equals 125.
125 divided by 2 equals 62.5, which is not a whole number.
So, you can stop here with the factor 2.
5. Now, move on to the next prime number, which is 3.
Divide 125 by 3 to get 41.66, which is not a whole number.
So, 3 is not a factor of 1000.
6. Move on to the next prime number, which is 5.
Divide 125 by 5 to get 25.
Divide 25 by 5 to get 5.
Divide 5 by 5 to get 1.
So, 5 is a factor of 1000.
7. We have now found all the prime factors of 1000.
Combine the prime factors with their respective exponents.
1000 = 2^3 * 5^3