1. Steps to find factors of 851 using Division Method

Example: Find factors of 851

  • Divide 851 by 1: 851 ÷ 1 : Remainder = 0
  • Divide 851 by 23: 851 ÷ 23 : Remainder = 0
  • Divide 851 by 37: 851 ÷ 37 : Remainder = 0
  • Divide 851 by 851: 851 ÷ 851 : Remainder = 0

Hence, Factors of 851 are 1, 23, 37, and 851

2. Steps to find factors of 851 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 851 using the division method, follow these steps:

  • Step 1. Start dividing 851 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 851, which is 23. Divide 851 by 23 to obtain the quotient (37).
    851 ÷ 23 = 37
  • Step 3. Repeat step 1 with the obtained quotient (37).
    37 ÷ 37 = 1

So, the prime factorization of 851 is, 851 = 23 x 37.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 851 as shown below:

So, the prime factorization of 851 is, 851 = 23 x 37.

3. Find factors of 851 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 851 would be the two numbers which, when multiplied, give 851 as the result.

The following table represents the calculation of factors of 851 in pairs:

Factor Pair Pair Factorization
1 and 851 1 x 851 = 851
23 and 37 23 x 37 = 851

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 851. They are called negative pair factors.

Hence, the negative pairs of 851 would be ( -1 , -851 ) , ( -23 , -37 ) .

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 number is a factor of zero (0), since 851 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, 23, 37, 851 are exact divisors of 851.
  • Factors of 851 are 1, 23, 37, 851. Each factor divides 851 without leaving a remainder.

Frequently Asked Questions

  • What are the pair factors of 851?

    Pair factors of 851 are (1,851), (23,37).

  • What are five multiples of 851?

    First five multiples of 851 are 1702, 2553, 3404, 4255, 5106.

  • What two numbers make 851?

    Two numbers that make 851 are 23 and 37.

  • What is the sum of all factors of 851?

    The sum of all factors of 851 is 912.

  • What are factors of -851?

    Factors of -851 are -1, -23, -37, -851.

  • What are factors of 851?

    Factors of 851 are 1, 23, 37, 851.

  • Is 851 a perfect square?

    No 851 is not a perfect square.

  • Which is the smallest prime factor of 851?

    Smallest prime factor of 851 is 23.

  • Which is greatest factor of 851?

    The greatest factor of 851 is 37.

Examples of Factors

Can you help Sammy find out the product of the odd factors of 851?

Factors of 851 are 1, 23, 37, 851.
Odd factors of 851 are 1, 23, 37, 851.
Hence product of odd factors of 851 is; 1 x 23 x 37 x 851 = 724201.

Joey wants to write all the prime factors of 851 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 851 are 23, 37.
So in exponential form it can be written as 23 x 37.

How many factors are there for 851?

Factors of 851 are 1, 23, 37, 851.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 851. Can you predict the answer?

3 factor(s) of 851 are 1, 23, 37.

Sammy is puzzled while calculating the prime factors of 851. Can you help him find them?

Factors of 851 are 1, 23, 37, 851.
Prime factors of 851 are 23, 37

What is prime factorization of 851?

Prime factorization of 851 is 23 x 37 = 23 x 37.

Can you help Rubel to find out the product of the even factors of 851?

Factors of 851 are 1, 23, 37, 851.
Even factors of 851 are 0.
Hence, product of even factors of 851 is; 0 = 0.