Q: What is the total number of prime factors of the number 456,000?
A: 11
First, you must factor the number. Then, you must identify the prime numbers. Finally, you then count the number of prime factors.
In the case of the number 456,000, the prime factors are: 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 19 or also written as { 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 19 }
If you would like to know more, or need additional explanation, please review our prime factorization explanation.