Question

What is the prime factorization of 16,807?
Enter your answer as a product of prime numbers, like 2 X 3, or as a single prime number, like 17.

Answer 1

Prime factorization of 16,807 $=7\times7\times7\times7\times7$

If we write about the factors of 16807 it will be  $1, 7, 49, 343, 2401, 16807$.

• Factors are those numbers that can completely divide the given number.

• Prime numbers are those numbers that have only 2 factors that are 1 and itself.
• Prime factorization is the method in which a number can be expressed as the multiples of prime factors of that number.
• We can also write the prime factorization of 16807 as $7^5$. This form is known as the exponential form.
• To find a prime factor, first divide that number by the first prime number,  2. If there is no remainder, that is, if it can be divided evenly, then 2 is a factor of the number. Continue splitting by 2 until you can no longer split evenly.

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