1. Steps to find factors of 888 using Division Method

Example: Find factors of 888

  • Divide 888 by 1: 888 ÷ 1 : Remainder = 0
  • Divide 888 by 2: 888 ÷ 2 : Remainder = 0
  • Divide 888 by 3: 888 ÷ 3 : Remainder = 0
  • Divide 888 by 4: 888 ÷ 4 : Remainder = 0
  • Divide 888 by 6: 888 ÷ 6 : Remainder = 0
  • Divide 888 by 8: 888 ÷ 8 : Remainder = 0
  • Divide 888 by 12: 888 ÷ 12 : Remainder = 0
  • Divide 888 by 24: 888 ÷ 24 : Remainder = 0
  • Divide 888 by 37: 888 ÷ 37 : Remainder = 0
  • Divide 888 by 74: 888 ÷ 74 : Remainder = 0
  • Divide 888 by 111: 888 ÷ 111 : Remainder = 0
  • Divide 888 by 148: 888 ÷ 148 : Remainder = 0
  • Divide 888 by 222: 888 ÷ 222 : Remainder = 0
  • Divide 888 by 296: 888 ÷ 296 : Remainder = 0
  • Divide 888 by 444: 888 ÷ 444 : Remainder = 0
  • Divide 888 by 888: 888 ÷ 888 : Remainder = 0

Hence, Factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, and 888

2. Steps to find factors of 888 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 888 using the division method, follow these steps:

  • Step 1. Start dividing 888 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 888, which is 2. Divide 888 by 2 to obtain the quotient (444).
    888 ÷ 2 = 444
  • Step 3. Repeat step 1 with the obtained quotient (444).
    444 ÷ 2 = 222
    222 ÷ 2 = 111
    111 ÷ 3 = 37
    37 ÷ 37 = 1

So, the prime factorization of 888 is, 888 = 2 x 2 x 2 x 3 x 37.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 888 as shown below:

So, the prime factorization of 888 is, 888 = 2 x 2 x 2 x 3 x 37.

3. Find factors of 888 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 888 would be the two numbers which, when multiplied, give 888 as the result.

The following table represents the calculation of factors of 888 in pairs:

Factor Pair Pair Factorization
1 and 888 1 x 888 = 888
2 and 444 2 x 444 = 888
3 and 296 3 x 296 = 888
4 and 222 4 x 222 = 888
6 and 148 6 x 148 = 888
8 and 111 8 x 111 = 888
12 and 74 12 x 74 = 888
24 and 37 24 x 37 = 888

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 888. They are called negative pair factors.

Hence, the negative pairs of 888 would be ( -1 , -888 ) , ( -2 , -444 ) , ( -3 , -296 ) , ( -4 , -222 ) , ( -6 , -148 ) , ( -8 , -111 ) , ( -12 , -74 ) and ( -24 , -37 ) .

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 888 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 888.
  • Every number is a factor of zero (0), since 888 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, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888 are exact divisors of 888.
  • Factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888. Each factor divides 888 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888 are all less than or equal to 888.

Frequently Asked Questions

  • How do you find factors of a negative number? ( eg. -888 )?

    Factors of -888 are -1, -2, -3, -4, -6, -8, -12, -24, -37, -74, -111, -148, -222, -296, -444, -888.

  • What is the sum of all factors of 888?

    The sum of all factors of 888 is 2280.

  • What is prime factorization of 888?

    Prime factorization of 888 is 2 x 2 x 2 x 3 x 37.

  • What are the pair factors of 888?

    Pair factors of 888 are (1,888), (2,444), (3,296), (4,222), (6,148), (8,111), (12,74), (24,37).

  • What are six multiples of 888?

    First five multiples of 888 are 1776, 2664, 3552, 4440, 5328, 6216.

  • Is 888 a whole number?

    Yes 888 is a whole number.

  • Which is the smallest prime factor of 888?

    Smallest prime factor of 888 is 2.

  • What are five multiples of 888?

    First five multiples of 888 are 1776, 2664, 3552, 4440, 5328.

  • Write all factors of 888?

    Factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888.

Examples of Factors

Joey wants to write all the prime factors of 888 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 888 are 2, 2, 2, 3, 37.
So in exponential form it can be written as 23 x 3 x 37.

How many factors are there for 888?

Factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888.
So there are in total 16 factors.

Kevin has been asked to write 15 factor(s) of 888. Can you predict the answer?

15 factor(s) of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444.

Sammy is puzzled while calculating the prime factors of 888. Can you help him find them?

Factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888.
Prime factors of 888 are 2, 2, 2, 3, 37

What is prime factorization of 888?

Prime factorization of 888 is 2 x 2 x 2 x 3 x 37 = 23 x 3 x 37.

Ariel has been assigned the task to find the product of all the prime factors of 888. Can you help her?

Prime factors of 888 are 2, 2, 2, 3, 37.
Hence, the product of prime factors of 222.

Can you help Rubel to find out the product of the even factors of 888?

Factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888.
Even factors of 888 are 2, 4, 6, 8, 12, 24, 74, 148, 222, 296, 444, 888.
Hence, product of even factors of 888 is; 2 x 4 x 6 x 8 x 12 x 24 x 74 x 148 x 222 x 296 x 444 x 888 = 31380348951148364000.