Factors of 604: Prime Factorization, Methods, and Examples

The factors of 604 are six that are 1, 2, 4, 151, 302, and 604. It has negative factors as well which are -1,- 2, -4, -151, -302, and -604.

Factors Of 604

These factors are such that when acting as the divisor and the number 604 act as a dividend giving some whole number as computation and zero as remainder.

Factors of 604

Here are the factors of number 604.

Factors of 604: 1, 2, 4, 151, 302, and 604

Negative Factors of 604

The negative factors of 604 are similar to its positive aspects, just with a negative sign.

Negative Factors of 604: -1, -2, -4, -151, -302, and -604

Prime Factorization of 604

The prime factorization of 604 is the way of expressing its prime factors in the product form.

Prime Factorization: 2 x 2 x 151

In this article, we will learn about the factors of 604 and how to find them using various techniques such as upside-down division, prime factorization, and factor tree.

What Are the Factors of 604?

The factors of 604 are 1, 2, 4, 151, 302, and 604. These numbers are the factors as they do not leave any remainder when divided by 604.

The factors of 604 are classified as prime numbers and composite numbers. The prime factors of the number 604 can be determined using the prime factorization technique.

How To Find the Factors of 604?

You can find the factors of 604 by using the rules of divisibility. The divisibility rule states that any number, when divided by any other natural number, is said to be divisible by the number if the quotient is the whole number and the resulting remainder is zero.

To find the factors of 604, create a list containing the numbers that are exactly divisible by 604 with zero remainders. One important thing to note is that 1 and 604 are the 604’s factors as every natural number has 1 and the number itself as its factor.

1 is also called the universal factor of every number. The factors of 604 are determined as follows:

\[\dfrac{604}{1} = 604\]

\[\dfrac{604}{2} = 302\]

\[\dfrac{604}{4} = 151\]

\[\dfrac{604}{151} = 4\]

\[\dfrac{604}{302} = 2\]

\[\dfrac{604}{604} = 1\]

Therefore, 1, 2, 4, 151, 302, and 604 are the factors of 604.

Total Number of Factors of 604

For 604, there are six positive factors and six negative ones. So in total, there are twelve factors of 604. 

To find the total number of factors of the given number, follow the procedure mentioned below:

  1. Find the factorization/prime factorization of the given number.
  2. Demonstrate the prime factorization of the number in the form of exponent form.
  3. Add 1 to each of the exponents of the prime factor.
  4. Now, multiply the resulting exponents together. This obtained product is equivalent to the total number of factors of the given number.

By following this procedure, the total number of factors of 604 is given as:

Factorization of 604 is 2 x 2 x 151.

The exponent of 1, 2, 2, and 151 is 1.

Adding 1 to each and multiplying them together results in m.

Therefore, the total number of factors of 604 is 12 whereas six are positive, and six factors are negative.

Important Notes

Here are some essential points that must be considered while finding the factors of any given number:

  • The factor of any given number must be a whole number.
  • The factors of the number cannot be in the form of decimals or fractions.
  • Factors can be positive as well as negative.
  • Negative factors are the additive inverse of the positive factors of a given number.
  • The factor of a number cannot be greater than that number.
  • Every even number has 2 as its prime factor, the smallest prime factor.

Factors of 604 by Prime Factorization

The number 604 is a composite. Prime factorization is a valuable technique for finding the number’s prime factors and expressing the number as the product of its prime factors.prime factorization of 604

Before finding the factors of 604 using prime factorization, let us find out what prime factors are. Prime factors are the factors of any given number that are only divisible by 1 and themselves.

To start the prime factorization of 604, start dividing by its most minor prime factor. First, determine that the given number is either even or odd. If it is an even number, then 2 will be the smallest prime factor.

Continue splitting the quotient obtained until 1 is received as the quotient. The prime factorization of 604 can be expressed as:

604 = 2 x 2 x 151

Factors of 604 in Pairs

The factor pairs are the duplet of numbers that, when multiplied together, result in the factorized number. Factor pairs can be more than one depending on the total number of factors given.Factors of 604 in Pairs

For 604, the factor pairs can be found as:

1 x 604 = 604

2 x 302 = 604 

4 x 151 = 604 

The possible factor pairs of 604 are given as (1, 604), (2, 302), and (4, 151 ).

All these numbers in pairs, when multiplied, give 604 as the product.

The negative factor pairs of 604 are given as:

-1 x -604 = 604

-2 x -302 = 604 

-4 x -151 = 604 

It is important to note that in negative factor pairs, the minus sign has been multiplied by the minus sign, due to which the resulting product is the original positive number. Therefore, -1, -2, -4, -151, -302, and -604 are called negative factors of 604.

The list of all the factors of 604, including positive as well as negative numbers, is given below.

Factor list of 604: 1, -1, 2, -2, 4, -4, 151, -151, 302, -302, 604, and -604

Factors of 604 Solved Examples

To better understand the concept of factors, let’s solve some examples.

Example 1

How many factors of 604 are there?


The total number of Factors of 604 is six.

Factors of 604 are 1, 2, 4, 151, 302, and 604.

Example 2

Find the factors of 604 using prime factorization.


The prime factorization of 604 is given as:

604 $\div$ 2 = 302 

302 $\div$ 2 = 151 

151 $\div$ 151 = 1 

So the prime factorization of 604 can be written as:

2 x 2 x 151 = 604

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