1. Steps to find factors of 884 using Division Method

Example: Find factors of 884

  • Divide 884 by 1: 884 ÷ 1 : Remainder = 0
  • Divide 884 by 2: 884 ÷ 2 : Remainder = 0
  • Divide 884 by 4: 884 ÷ 4 : Remainder = 0
  • Divide 884 by 13: 884 ÷ 13 : Remainder = 0
  • Divide 884 by 17: 884 ÷ 17 : Remainder = 0
  • Divide 884 by 26: 884 ÷ 26 : Remainder = 0
  • Divide 884 by 34: 884 ÷ 34 : Remainder = 0
  • Divide 884 by 52: 884 ÷ 52 : Remainder = 0
  • Divide 884 by 68: 884 ÷ 68 : Remainder = 0
  • Divide 884 by 221: 884 ÷ 221 : Remainder = 0
  • Divide 884 by 442: 884 ÷ 442 : Remainder = 0
  • Divide 884 by 884: 884 ÷ 884 : Remainder = 0

Hence, Factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, and 884

2. Steps to find factors of 884 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 884 using the division method, follow these steps:

  • Step 1. Start dividing 884 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 884, which is 2. Divide 884 by 2 to obtain the quotient (442).
    884 ÷ 2 = 442
  • Step 3. Repeat step 1 with the obtained quotient (442).
    442 ÷ 2 = 221
    221 ÷ 13 = 17
    17 ÷ 17 = 1

So, the prime factorization of 884 is, 884 = 2 x 2 x 13 x 17.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 884 as shown below:

So, the prime factorization of 884 is, 884 = 2 x 2 x 13 x 17.

3. Find factors of 884 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 884 would be the two numbers which, when multiplied, give 884 as the result.

The following table represents the calculation of factors of 884 in pairs:

Factor Pair Pair Factorization
1 and 884 1 x 884 = 884
2 and 442 2 x 442 = 884
4 and 221 4 x 221 = 884
13 and 68 13 x 68 = 884
17 and 52 17 x 52 = 884
26 and 34 26 x 34 = 884

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 884. They are called negative pair factors.

Hence, the negative pairs of 884 would be ( -1 , -884 ) , ( -2 , -442 ) , ( -4 , -221 ) , ( -13 , -68 ) , ( -17 , -52 ) and ( -26 , -34 ) .

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

  • Each number is a factor of itself. Eg. 884 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 884.
  • Every number is a factor of zero (0), since 884 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, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884 are exact divisors of 884.
  • Factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884. Each factor divides 884 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884 are all less than or equal to 884.

Frequently Asked Questions

  • What two numbers make 884?

    Two numbers that make 884 are 2 and 442.

  • What is prime factorization of 884?

    Prime factorization of 884 is 2 x 2 x 13 x 17.

  • Write some multiples of 884?

    First five multiples of 884 are 1768, 2652, 3536, 4420.

  • Which is the smallest prime factor of 884?

    The smallest prime factor of 884 is 2.

  • Is 884 a perfect square?

    No 884 is not a perfect square.

  • What is the sum of all factors of 884?

    The sum of all factors of 884 is 1764.

  • What are factors of 884?

    Factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884.

  • How do you find factors of a negative number? ( eg. -884 )?

    Factors of -884 are -1, -2, -4, -13, -17, -26, -34, -52, -68, -221, -442, -884.

  • Is 884 a whole number?

    Yes 884 is a whole number.

Examples of Factors

Joy wants to calculate mean of all the factors of 884. Help him in finding the mean of 884.

Factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 884 is 1 + 2 + 4 + 13 + 17 + 26 + 34 + 52 + 68 + 221 + 442 + 884 = 1764.
Hence, the mean of factors of 884 is 1764 ÷ 12 = 147.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 884? Help her in writing all the factors.

Positive factors are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884.
Negative factors are -1, -2, -4, -13, -17, -26, -34, -52, -68, -221, -442, -884.

Joey wants to write all the prime factors of 884 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 884 are 2, 2, 13, 17.
So in exponential form it can be written as 22 x 13 x 17.

Kevin has been asked to write 11 factor(s) of 884. Can you predict the answer?

11 factor(s) of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442.

Sammy is puzzled while calculating the prime factors of 884. Can you help him find them?

Factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884.
Prime factors of 884 are 2, 2, 13, 17

What is prime factorization of 884?

Prime factorization of 884 is 2 x 2 x 13 x 17 = 22 x 13 x 17.

Can you help Rubel to find out the product of the even factors of 884?

Factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884.
Even factors of 884 are 2, 4, 26, 34, 52, 68, 442, 884.
Hence, product of even factors of 884 is; 2 x 4 x 26 x 34 x 52 x 68 x 442 x 884 = 9770775678976.