Steps to find factors of 808 in pair

Example: Find factors of 808 in pair

Factor Pair Pair Factorization
1 and 808 1 x 808 = 808
2 and 404 2 x 404 = 808
4 and 202 4 x 202 = 808
8 and 101 8 x 101 = 808

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 808. They are called negative pair factors.

Hence, the negative pairs of 808 would be ( -1 , -808 ) .

What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 808 are 1 , 2 , 4 , 8 , 101 , 202 , 404 , 808. So, factors of 808 in pair are (1,808), (2,404), (4,202), (8,101).

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. 808 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 808.
  • Every number is a factor of zero (0), since 808 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, 8, 101, 202, 404, 808 are exact divisors of 808.
  • Factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808. Each factor divides 808 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 101, 202, 404, 808 are all less than or equal to 808.

Steps to find Factors of 808

  • Step 1. Find all the numbers that would divide 808 without leaving any remainder. Starting with the number 1 upto 404 (half of 808). The number 1 and the number itself are always factors of the given number.
    808 ÷ 1 : Remainder = 0
    808 ÷ 2 : Remainder = 0
    808 ÷ 4 : Remainder = 0
    808 ÷ 8 : Remainder = 0
    808 ÷ 101 : Remainder = 0
    808 ÷ 202 : Remainder = 0
    808 ÷ 404 : Remainder = 0
    808 ÷ 808 : Remainder = 0

Hence, Factors of 808 are 1, 2, 4, 8, 101, 202, 404, and 808

Frequently Asked Questions

  • Is 808 a composite number?

    Yes 808 is a composite number.

  • Is 808 a prime number?

    No 808 is not a prime number.

  • Write five multiples of 808.

    Five multiples of 808 are 1616, 2424, 3232, 4040, 4848.

  • Write all odd factors of 808?

    The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808.
    Odd factors of 808 are 1 , 101.

  • What is the mean of all prime factors of 808?

    Factors of 808 are 1 , 2 , 4 , 8 , 101 , 202 , 404 , 808. Prime factors of 808 are 2 , 2 , 2 , 101. Therefore mean of prime factors of 808 is (2 + 2 + 2 + 101) / 4 = 26.75.

Examples of Factors

Ariel has been asked to write all factor pairs of 808 but she is finding it difficult. Can you help her find out?

Factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808. So, factors of 808 in pair are (1,808), (2,404), (4,202), (8,101).

Sammy wants to write all the negative factors of 808 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 808 are -1, -2, -4, -8, -101, -202, -404, -808. Hence, factors of 808 in pair are (-1,-808), (-2,-404), (-4,-202), (-8,-101).

Help Deep in writing the positive factors of 808 in pair and negative factor of 808 in pair.

Factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808. Positive factors of 808 in pair are (1,808), (2,404), (4,202), (8,101). Negative factors of 808 in pair are (-1,-808), (-2,-404), (-4,-202), (-8,-101).

Find the product of all factors of 808.

Factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808. So the product of all factors of 808 would be 1 x 2 x 4 x 8 x 101 x 202 x 404 x 808 = 426231402496.

Find the product of all prime factors of 808.

Factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808. Prime factors are 2, 2, 2, 101. So, the product of all prime factors of 808 would be 2 x 2 x 2 x 101 = 808.

Can you help Sammy list the factors of 808 and also find the factor pairs?

Factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808.
Factors of 808 in pair are (1,808), (2,404), (4,202), (8,101).

Sammy has 808 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 808 blocks in all possible ways to form a rectangle, we need to calculate factors of 808 in pair. Therefore, factors of 808 in pair are (1,808), (2,404), (4,202), (8,101)