Factors of 701

2. Steps to find factors of 701 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 701 using the division method, follow these steps:

• Step 1. Start dividing 701 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 701, which is 701. Divide 701 by 701 to obtain the quotient (1).
  701 ÷ 701 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 701 is, 701 = 701.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 701 as shown below:

So, the prime factorization of 701 is, 701 = 701.

3. Find factors of 701 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 701 would be the two numbers which, when multiplied, give 701 as the result.

The following table represents the calculation of factors of 701 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 701. They are called negative pair factors.

Hence, the negative pairs of 701 would be ( -1 , -701 ) , .

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 701 are exact divisors of 701.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 701 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 701.

Frequently Asked Questions

• What is prime factorization of 701?

  Prime factorization of 701 is 701.

• How do you find factors of a negative number? ( eg. -701 )?

  Factors of -701 are -1, -701.

• What are the prime factors of 701?

  The factors of 701 are 1, 701.
  Prime factors of 701 are 701.

• What are pair factors of 701?

  The pair factors of 701 are (1,701).

• What is the greatest prime factors of 701?

  The greatest prime factor of 701 is 701.

• What are six multiples of 701?

  First five multiples of 701 are 1402, 2103, 2804, 3505, 4206, 4907.

• What are factors of 701?

  Factors of 701 are 1, 701.

• Which is the smallest prime factor of 701?

  Smallest prime factor of 701 is 701.

• Is 701 a whole number?

  Yes 701 is a whole number.

Examples of Factors