what is the prime factorization of 1 bilion using exponents?
1 bilion = 1,000 * 1,000,000
1 milon = 1,000 * 1,000
1 bilion = 1,000 * 1,000 * 1,000 = 1,000 ^ 3
1,000 = 10 ^ 3
1 bilion = ( 10 ^ 3 ) ^ 3 = 10 ^ 9
10 = 2 * 5
1 bilion = ( 2 * 5 ) ^ 9 = 2 ^ 9 * 5 ^ 9
this is so stupid so get better answers thx from alenia
To find the prime factorization of 1 billion using exponents, we need to break it down into its prime factors. Here's the step-by-step process:
Step 1: Start with the number 1 billion.
Step 2: Check if it is divisible by 2, which is the smallest prime number.
1 billion is divisible by 2, resulting in 1 billion divided by 2, which equals 500 million.
Step 3: Repeat step 2 with the quotient from step 2.
500 million is also divisible by 2, resulting in 500 million divided by 2, which equals 250 million.
Step 4: Continue dividing by 2 until it is no longer divisible.
250 million divided by 2 equals 125 million.
125 million divided by 2 equals 62.5 million (not an integer).
So, we cannot divide further by 2.
Step 5: Move on to the next prime number, which is 3.
62.5 million is not divisible by 3.
Step 6: Move on to the next prime number, which is 5.
62.5 million is divisible by 5, resulting in 62.5 million divided by 5, which equals 12.5 million.
Step 7: Continue dividing by 5 until it is no longer divisible.
12.5 million divided by 5 equals 2.5 million (not an integer).
So, we cannot divide further by 5.
Step 8: Move on to the next prime number, which is 7.
2.5 million is not divisible by 7.
Step 9: Move on to the next prime number, which is 11.
2.5 million is not divisible by 11.
Step 10: Move on to the next prime number, which is 13.
2.5 million is not divisible by 13.
Step 11: Move on to the next prime number, which is 17.
2.5 million is not divisible by 17.
Step 12: Move on to the next prime number, which is 19.
2.5 million is not divisible by 19.
Step 13: Move on to the next prime number, which is 23.
2.5 million is not divisible by 23.
Step 14: Move on to the next prime number, which is 29.
2.5 million is divisible by 29, resulting in 2.5 million divided by 29, which equals 86,207.
Step 15: Continue dividing by 29 until it is no longer divisible.
86,207 divided by 29 equals 2,979 (not an integer).
So, we cannot divide further by 29.
Step 16: Move on to the next prime number, which is 31.
2,979 is not divisible by 31.
Step 17: Move on to the next prime number, which is 37.
2,979 is not divisible by 37.
Step 18: Move on to the next prime number, which is 41.
2,979 is not divisible by 41.
Step 19: Move on to the next prime number, which is 43.
2,979 is not divisible by 43.
Step 20: Move on to the next prime number, which is 47.
2,979 is divisible by 47, resulting in 2,979 divided by 47, which equals 63.
Step 21: Continue dividing by 47 until it is no longer divisible.
63 divided by 47 equals 1 (an integer).
Since the quotient is now 1, we have reached the end of the prime factorization.
The prime factorization of 1 billion using exponents can be written as:
2^9 * 5^9