The prime factorization of 36 can be written as 2x2x3x3. Numbers greater than 1 that can only be divided by themselves and 1 are called prime numbers. Each non-prime number has a unique prime factorization.
Know MoreThe best way to find the prime factorization of an even number is to first divide the number by 2. When dividing 36 by 2, the result is 18. This is not a prime number, so further divide by 2 to get 9. The result is now 2x2x9. The number 9 is not a prime and is also not even, so divide by the next prime number, 3. This results in 3. The prime factorization of 36 is now 2x2x3x3, which are all prime numbers.
Learn more about NumbersThe prime factorization of 72 is 2^{3x} 3^{2}, or 2 x 2 x 2 x 3 x 3. The prime factorization of a number involves determining the factors of a number that are also prime numbers and multiply together to equal the original number.
Full Answer >The prime factorization of 35 is 5 and 7. Prime factors are numbers that are only divisible by themselves and one. While every number is divisible by one, most mathematicians do not consider it as a prime factor.
Full Answer >The prime factorization of 27 is 3x3x3. To perform prime factorization on a number, the number is broken down until only prime numbers remain. The answer can be checked by multiplying the prime factors together to see if they equal the original number.
Full Answer >The prime factorization of 70 is 2 times 5 times 7. Multiplying these three prime numbers together makes 70, and this is the only unique combination of prime numbers that equals 70.
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