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Only composite numbershave prime factorizations.

Prime factorizations must consist of only prime numbers.

Q: What kind of numbers must always use with a prime factorization?

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Factor trees may have been used when you were in elementary school--when you take a number and see what numbers "go into" it by making branches. Prime factorization is simply just a more sophisticated (and kind of easier) way of seeing what PRIME numbers go into a number. To do that, you must divide only use prime divisors. You keep dividing until the last number is 1. Then, using the divisors you've used, you create a multiplication problem, usually with exponents. For example, you have to do the prime factorization of 20. You choose to divide by the prime number 2, which is 10. You divide 10 by 2 which equals 5, and then you divide by 5 equaling one. Therefore, the prime factorization of 20 is 2 squared times 5.

Square numbers have an odd number of factors.

The head of state in Sweden is the monarch (right now a king), but the real power lays with our elected parliament and our prime minister.

All integers belong to the set {..., -2, -1, 0, 1, 2, ...}. The absolute value of any integer results in a whole number {0, 1, 2, ...}. Adding and subtracting integers always results in an integer. Multiplying integers always results in an integer. Dividing integers can sometimes not result in an integer.

He was kind and caring. He hated war and wished for peace He was strong and always took care of those he loved

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Prime numbers.

Prime Numbers

prime numbers

Factor trees may have been used when you were in elementary school--when you take a number and see what numbers "go into" it by making branches. Prime factorization is simply just a more sophisticated (and kind of easier) way of seeing what PRIME numbers go into a number. To do that, you must divide only use prime divisors. You keep dividing until the last number is 1. Then, using the divisors you've used, you create a multiplication problem, usually with exponents. For example, you have to do the prime factorization of 20. You choose to divide by the prime number 2, which is 10. You divide 10 by 2 which equals 5, and then you divide by 5 equaling one. Therefore, the prime factorization of 20 is 2 squared times 5.

No. No matter how large of an example you choose, someone always can find a larger number (of any kind), because the upper range of number is infinite. If you take all the known prime numbers and multiply them together, then add 1 to the result, you will have a number that is not divisible by any of the known prime numbers. This number will either be prime or have prime factors that were not previously known. So, in this way, you can always find a new prime number or a number that is a multiple of new prime numbers. If the known prime numbers include all the prime numbers up to the largest known, the new ones must be larger.

A prime number is only divisible by itself, and 1. For example: 5, 13, and 17

There are more composite numbers than prime numbers, but there is no prime or composite number so great that you can't find a greater one of either kind.

composite

Prime numbers.

To solve prime factorizations, divide a composite number by prime numbers until all the factors are prime. Many people like to use a chart of some kind to help visualize the process. One kind is a factor tree. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. 2 x 3 x 5 x 7 is the prime factorization of 210.

PRIME NUMBERS are numbers that is divisible by itself and 1

All positive whole numbers over 1 can be classified either as prime or composite numbers. Those which are not prime are composite numbers, that is, numbers which are composed of several different factors.