1. Steps to find factors of 899 using Division Method

Example: Find factors of 899

  • Divide 899 by 1: 899 ÷ 1 : Remainder = 0
  • Divide 899 by 29: 899 ÷ 29 : Remainder = 0
  • Divide 899 by 31: 899 ÷ 31 : Remainder = 0
  • Divide 899 by 899: 899 ÷ 899 : Remainder = 0

Hence, Factors of 899 are 1, 29, 31, and 899

2. Steps to find factors of 899 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 899 using the division method, follow these steps:

  • Step 1. Start dividing 899 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 899, which is 29. Divide 899 by 29 to obtain the quotient (31).
    899 ÷ 29 = 31
  • Step 3. Repeat step 1 with the obtained quotient (31).
    31 ÷ 31 = 1

So, the prime factorization of 899 is, 899 = 29 x 31.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 899 as shown below:

So, the prime factorization of 899 is, 899 = 29 x 31.

3. Find factors of 899 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 899 would be the two numbers which, when multiplied, give 899 as the result.

The following table represents the calculation of factors of 899 in pairs:

Factor Pair Pair Factorization
1 and 899 1 x 899 = 899
29 and 31 29 x 31 = 899

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 899. They are called negative pair factors.

Hence, the negative pairs of 899 would be ( -1 , -899 ) , ( -29 , -31 ) .

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 899 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, 29, 31, 899 are exact divisors of 899.
  • Factors of 899 are 1, 29, 31, 899. Each factor divides 899 without leaving a remainder.

Frequently Asked Questions

  • What is prime factorization of 899?

    Prime factorization of 899 is 29 x 31.

  • How do you find factors of a negative number? ( eg. -899 )?

    Factors of -899 are -1, -29, -31, -899.

  • What are the prime factors of 899?

    The factors of 899 are 1, 29, 31, 899.
    Prime factors of 899 are 29, 31.

  • What are pair factors of 899?

    The pair factors of 899 are (1,899), (29,31).

  • What is the greatest prime factors of 899?

    The greatest prime factor of 899 is 31.

  • What are six multiples of 899?

    First five multiples of 899 are 1798, 2697, 3596, 4495, 5394, 6293.

  • What are factors of 899?

    Factors of 899 are 1, 29, 31, 899.

  • Which is the smallest prime factor of 899?

    Smallest prime factor of 899 is 29.

  • Is 899 a whole number?

    Yes 899 is a whole number.

Examples of Factors

Kevin has been asked to write 3 factor(s) of 899. Can you predict the answer?

3 factor(s) of 899 are 1, 29, 31.

Sammy is puzzled while calculating the prime factors of 899. Can you help him find them?

Factors of 899 are 1, 29, 31, 899.
Prime factors of 899 are 29, 31

What is prime factorization of 899?

Prime factorization of 899 is 29 x 31 = 29 x 31.

Ariel has been assigned the task to find the product of all the prime factors of 899. Can you help her?

Prime factors of 899 are 29, 31.
Hence, the product of prime factors of 899.

Can you help Rubel to find out the product of the even factors of 899?

Factors of 899 are 1, 29, 31, 899.
Even factors of 899 are 0.
Hence, product of even factors of 899 is; 0 = 0.

Joy wants to calculate mean of all the factors of 899. Help him in finding the mean of 899.

Factors of 899 are 1, 29, 31, 899.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 899 is 1 + 29 + 31 + 899 = 960.
Hence, the mean of factors of 899 is 960 ÷ 4 = 240.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 899? Help her in writing all the factors.

Positive factors are 1, 29, 31, 899.
Negative factors are -1, -29, -31, -899.