1. Steps to find factors of 701 using Division Method

Example: Find factors of 701

  • Divide 701 by 1: 701 ÷ 1 : Remainder = 0
  • Divide 701 by 701: 701 ÷ 701 : Remainder = 0

Hence, Factors of 701 are 1 and 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:

Factor Pair Pair Factorization
1 and 701 1 x 701 = 701

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

Kevin has been asked to write 1 factor(s) of 701. Can you predict the answer?

1 factor(s) of 701 is 1.

Sammy is puzzled while calculating the prime factors of 701. Can you help him find them?

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

What is prime factorization of 701?

Prime factorization of 701 is 701 = 701.

Ariel has been assigned the task to find the product of all the prime factors of 701. Can you help her?

Prime factors of 701 are 701.
Hence, the product of prime factors of 701.

Can you help Rubel to find out the product of the even factors of 701?

Factors of 701 are 1, 701.
Even factors of 701 are 0.
Hence, product of even factors of 701 is; 0 = 0.

Joy wants to calculate mean of all the factors of 701. Help him in finding the mean of 701.

Factors of 701 are 1, 701.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 701 is 1 + 701 = 702.
Hence, the mean of factors of 701 is 702 ÷ 2 = 351.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 701? Help her in writing all the factors.

Positive factors are 1, 701.
Negative factors are -1, -701.