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The factors of 153 and the prime factors of 153 differ because hundred and fifty-three is a composite number. Also, despite being closely related, the prime factors of 153 and the prime factorization of 153 are not exactly the same either.
This Factors Calculator is Really Cool! Click To TweetIn any case, by reading on you can learn the answer to the question what are the factors of 153? and everything else you want to know about the topic.
What are the Factors of 153?
They are: 153, 51, 17, 9, 3, 1. These are all the factors of 153, and every entry in the list can divide 153 without rest (modulo 0). That’s why the terms factors and divisors of 153 can be used interchangeably.
As is the case for any natural number greater than zero, the number itself, here 153, as well as 1 are factors and divisors of 153.
Prime Factors of 153
The prime factors of 153 are the prime numbers which divide 153 exactly, without remainder as defined by the Euclidean division. In other words, a prime factor of 153 divides the number 153 without any rest, modulo 0.
For 153, the prime factors are: 3, 17. By definition, 1 is not a prime number.
Besides 1, what sets the factors and the prime factors of the number 153 apart is the word “prime”. The former list contains both, composite and prime numbers, whereas the latter includes only prime numbers.
Prime Factorization of 153
The prime factorization of 153 is 3 x 3 x 17. This is a unique list of the prime factors, along with their multiplicities. Note that the prime factorization of 153 does not include the number 1, yet it does include every instance of a certain prime factor.
153 is a composite number. In contrast to prime numbers which only have one factorization, composite numbers like 153 have at least two factorizations.
To illustrate what that means select the rightmost and leftmost integer in 153, 51, 17, 9, 3, 1 and multiply these integers to obtain 153. This is the first factorization. Next choose the second rightmost and the second leftmost entry to obtain the 2nd factorization which also produces 153.
The prime factorization or integer factorization of 153 means determining the set of prime numbers which, when multiplied together, produce the original number 153. This is also known as prime decomposition of 153.
Besides factors for 153, other searched terms on our website include:
- Factors of 158
- Factors of 159
- Factors of 160
We did not place any calculator here as there are already a plethora of them on the web. But you can find the factors, prime factors and the factorizations of many numbers including 153 by using the search form in the sidebar.
Summary
To sum up:
The factors of hundred and fifty-three are: 153, 51, 17, 9, 3, 1. The prime factors of hundred and fifty-three are 3, 17. And the prime factorization of hundred and fifty-three is 3 x 3 x 17. Remember that 1 is not a prime factor of 153.
No matter if you had been searching for prime factorization for 153 or prime numbers of 153, you have come to the right page. Also, if you typed what is the prime factorization of 153 in the search engine then you are right here, of course.
Taking all of the above into account, tasks including write 153 as a product of prime factors or list the factors of 153 will no longer pose a challenge to you.
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– Article written by Mark, last updated on August 8th, 2023
