Prime Factorization of 10001

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	Factors are	Prime Factors of 10001 = 10001 is a prime number and cannot be factorize The only factors of 10001 are 1 and 10001

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 10001

We get integer factorization of 10001 by finding list of prime numbers that can divide the number, together with their multiplicities.

This means prime numbers that can divide 10001 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

10001  10002  10003  10004  10005  10006  10007  10008  10009  10010  10011  10012  10013  10014  10015  10016  10017  10018  10019  10020