What Is the Prime Factorization of 700?


Quick Answer

The prime factorization of the number 700 is 7 x 5 x 5 x 2 x 2. Using exponents, it is expressed as 2^2 x 5^2 x 7. A prime number is a number only divisible by itself and one.

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Full Answer

The prime factors of a given number are all prime numbers that, when multiplied together, yield that number. One way to find the prime factors of 700 is to start with 7 x 100. Seven is a prime number. The number 100 is equal to 10 x 10. Ten is not a prime number, but it is the multiple of two prime numbers, two and five. The prime numbers, which are two, two, five, five and seven, when multiplied together yield 700.

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