Factors of 359

2. Steps to find factors of 359 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 359 using the division method, follow these steps:

• Step 1. Start dividing 359 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 359, which is 359. Divide 359 by 359 to obtain the quotient (1).
  359 ÷ 359 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 359 is, 359 = 359.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 359 as shown below:

So, the prime factorization of 359 is, 359 = 359.

3. Find factors of 359 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 359 would be the two numbers which, when multiplied, give 359 as the result.

The following table represents the calculation of factors of 359 in pairs:

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 359. They are called negative pair factors.

Hence, the negative pairs of 359 would be ( -1 , -359 ) , .

How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

Properties of factors

• Every number is a factor of zero (0), since 359 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 359 are exact divisors of 359.
• Factors of 359 are 1, 359. Each factor divides 359 without leaving a remainder.

Frequently Asked Questions

• What is prime factorization of 359?

  Prime factorization of 359 is 359.

• How do you find factors of a negative number? ( eg. -359 )?

  Factors of -359 are -1, -359.

• What are the prime factors of 359?

  The factors of 359 are 1, 359.
  Prime factors of 359 are 359.

• What are pair factors of 359?

  The pair factors of 359 are (1,359).

• What is the greatest prime factors of 359?

  The greatest prime factor of 359 is 359.

• What are six multiples of 359?

  First five multiples of 359 are 718, 1077, 1436, 1795, 2154, 2513.

• What are factors of 359?

  Factors of 359 are 1, 359.

• Which is the smallest prime factor of 359?

  Smallest prime factor of 359 is 359.

• Is 359 a whole number?

  Yes 359 is a whole number.

Examples of Factors