Sorry my question got cut off. 2 to the 6th power times 5 to the 6th power equals 1,000,000. Is there another number that has the prime factorization 2 to the 6th power times 5 to the 6th power? Are you saying the other number that has the same factorization is 64?
1,000,000 is the only number with prime factorization
2^6 * 5^6 = (2*5)^6 = 10^6
64 is 2^6 but has no factors of 5.
Thank you!
1,000,000 is the only #. For Ex. 4times 2= 8 only 8.
1,000,000 is the only #. For Ex. 4times 2= 8 only 8.
Peace
Yes, the other number that has the same prime factorization as 2 to the 6th power times 5 to the 6th power is indeed 64. Allow me to explain how to come to this conclusion.
To find a number with a specific prime factorization, we need to determine the prime factors and their corresponding exponents. In this case, we have 2 to the 6th power times 5 to the 6th power.
To simplify, we can write this expression as (2 × 5) to the 6th power. Since 2 and 5 are both prime numbers, their multiplication gives us another number with the same prime factors. Simplifying further, we have 10 to the 6th power.
Now, we can calculate 10 to the 6th power to get the resulting number. By evaluating the expression, we find that 10 to the 6th power equals 1,000,000.
However, you are asking if there is another number with the same prime factorization. The answer is yes. The other number is 2 to the 6th power times 5 to the 6th power, which is equal to 64. Therefore, both 1,000,000 and 64 have the prime factorization of 2 to the 6th power times 5 to the 6th power.