Prime Factorization of 10009

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	Factors are	Prime Factors of 10009 = 10009 is a prime number and cannot be factorize The only factors of 10009 are 1 and 10009

Prime factorization or integer factorization of a number is the determination of the set of prime intergers which multiply together to give the original integer. It is also known as prime decomposition.

Converting to factors of 10009

We get integer factorization of 10009 by finding list of prime numbers that can divide the number, together with their multiplicities.

This means prime numbers that can divide 10009 without remainders. So first number to consider is 2

Getting factors is done by diving the number with numbers lower to it in value to find the one that will not leave remainder. Numbers that divide without remainders are the factors.

Prime factorizations is different from prime numbers. prime numbers are integer numbers that can be divided by itself and 1. for example 7 can be divided by itself and 1, so it is a prime number.

Integer Numbers that can be divided by other numbers are called composite numbers. Prme factorizations are done on composite numbers and not on prime numbers.

The first 10 prime integers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Factorization example

Let's say we want to find the prime factors of 50. We start testing all integers to see if and how often they divide 50 and the subsequent resulting Value. The resulting set of factors will be prime since, for example, when 2 is exhausted, all multiples of 2 will also be exhausted.

50 ÷ 2 = 25; save 2
25 ÷ 2 = 12.5, not integer so try next highest number, 3
25 ÷ 3 = 8.333, not integer so try next highest number, 4
25 ÷ 4 = 6.25, not integer so try next highest number, 5
25 ÷ 5 = 5; save 5
5 ÷ 5 = 1; save 5
So 50 factors= 2 x 5 x 5 which is the same as 2 x 5²

Instructions: Type the number you want to convert Separate more than 1 number with comma. Click on convert to factor

Other number conversions to consider

10009  10010  10011  10012  10013  10014  10015  10016  10017  10018  10019  10020  10021  10022  10023  10024  10025  10026  10027  10028