Factors of 694: Prime Factorization, Methods, and Examples

A composite number, 694, consists of a total of 4 elements. The two factors that need to be multiplied to get 694 are the factor pair sums of 694. The factor of a number is never more than the number itself. 

Factors Of 694

Positive and negative qualities can be found in both prime and composite numbers.

Factors of 694

Here are the factors of number 694.

Factors of 694: 1, 2, 347, and 694

Negative Factors of 694

The negative factors of 694 are similar to their positive aspects, just with a negative sign.

Negative Factors of 694: -1, -2, -347, and -694

Prime Factorization of 694

The prime factorization of 694 is the way of expressing its prime factors in the product form.

Prime Factorization: 2 x 347

In this article, we will learn about the factors of 694 and how to find them using various techniques such as upside-down division, prime factorization, and factor tree.

What Are the Factors of 694?

The factors of 694 are 1, 2, 347, and 694. These numbers are the factors as they do not leave any remainder when divided by 694.

The factors of 694 are classified as prime numbers and composite numbers. The prime factors of the number 694 can be determined using the prime factorization technique.

How To Find the Factors of 694?

You can find the factors of 694 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 694, create a list containing the numbers that are exactly divisible by 694 with zero remainders. One important thing to note is that 1 and 694 are the 694’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 694 are determined as follows:

\[\dfrac{694}{1} = 694\]

\[\dfrac{694}{2} = 347\]

\[\dfrac{694}{347} = 2\]

\[\dfrac{694}{694} = 1\]

Therefore, 1, 2, 347, and 694 are the factors of 694.

Total Number of Factors of 694

For 694, there are 4 positive factors and 4 negative ones. So in total, there are 8 factors of 694. 

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 694 is given as:

Factorization of 694 is 1 x 2 x 347.

The exponent of 1, 2, and 347 is 1.

Adding 1 to each and multiplying them together results in 8.

Therefore, the total number of factors of 694 is 8. 4 are positive, and 4 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 694 by Prime Factorization

The number694 is a composite number. 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 694

Before finding the factors of 694 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 694, 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 694 can be expressed as:

694 =2 x 347

Factors of 694 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 694 in Pairs

For 694, the factor pairs can be found as:

1 x 694 = 694

2 x 347= 694

The possible factor pairs of 694 are given as (1, 694) and (2, 347 ).

All these numbers in pairs, when multiplied, give 694 as the product.

The negative factor pairs of 694 are given as:

-1 x -694 = 694

-2 x -347= 694

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, -347, and -694 are called negative factors of 694.

The list of all the factors of 694, including positive as well as negative numbers, is given below.

Factor list of 694: 1,-1, 2,-2, 347,-347, 694, and -694

Factors of 694 Solved Examples

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

Example 1

How many factors of694 are there?


The total number of Factors of 694 is 8.

Factors of 694 are 1, 2, 347, and 694.

Example 2

Find the factors of 694 using prime factorization.


The prime factorization of 694 is given as:

694 $\div$ 2 = 347

347 $\div$ 347 = 1 

So the prime factorization of 694 can be written as:

2 x 347 = 694

Factors of 693|Factors List| Factors of 695