Factors of 896 in pair are (1, 896) , (2, 448) , (4, 224) , (7, 128) , (8, 112) , (14, 64) , (16, 56) and (28, 32)

How to find factors of a number in pair

Steps to find factors of 896 in pair

Example: Find factors of 896 in pair

Factor Pair Pair Factorization
1 and 896 1 x 896 = 896
2 and 448 2 x 448 = 896
4 and 224 4 x 224 = 896
7 and 128 7 x 128 = 896
8 and 112 8 x 112 = 896
14 and 64 14 x 64 = 896
16 and 56 16 x 56 = 896
28 and 32 28 x 32 = 896

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 896. They are called negative pair factors.

Hence, the negative pairs of 896 would be ( -1 , -896 ) .

Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 896 are 1 , 2 , 4 , 7 , 8 , 14 , 16 , 28 , 32 , 56 , 64 , 112 , 128 , 224 , 448 , 896. So, factors of 896 in pair are (1,896), (2,448), (4,224), (7,128), (8,112), (14,64), (16,56), (28,32).

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

  • Each number is a factor of itself. Eg. 896 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 896.
  • Every number is a factor of zero (0), since 896 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, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896 are exact divisors of 896.
  • Factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896. Each factor divides 896 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896 are all less than or equal to 896.

Steps to find Factors of 896

  • Step 1. Find all the numbers that would divide 896 without leaving any remainder. Starting with the number 1 upto 448 (half of 896). The number 1 and the number itself are always factors of the given number.
    896 ÷ 1 : Remainder = 0
    896 ÷ 2 : Remainder = 0
    896 ÷ 4 : Remainder = 0
    896 ÷ 7 : Remainder = 0
    896 ÷ 8 : Remainder = 0
    896 ÷ 14 : Remainder = 0
    896 ÷ 16 : Remainder = 0
    896 ÷ 28 : Remainder = 0
    896 ÷ 32 : Remainder = 0
    896 ÷ 56 : Remainder = 0
    896 ÷ 64 : Remainder = 0
    896 ÷ 112 : Remainder = 0
    896 ÷ 128 : Remainder = 0
    896 ÷ 224 : Remainder = 0
    896 ÷ 448 : Remainder = 0
    896 ÷ 896 : Remainder = 0

Hence, Factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, and 896

Frequently Asked Questions

  • Is 896 a composite number?

    Yes 896 is a composite number.

  • Is 896 a prime number?

    No 896 is not a prime number.

  • Is 896 a perfect square?

    No 896 is not a perfect square.

  • Write five multiples of 896.

    Five multiples of 896 are 1792, 2688, 3584, 4480, 5376.

  • Write all odd factors of 896?

    The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896.
    Odd factors of 896 are 1 , 7.

Examples of Factors

Ariel has been asked to write all factor pairs of 896 but she is finding it difficult. Can you help her find out?

Factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896. So, factors of 896 in pair are (1,896), (2,448), (4,224), (7,128), (8,112), (14,64), (16,56), (28,32).

Sammy wants to write all the negative factors of 896 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 896 are -1, -2, -4, -7, -8, -14, -16, -28, -32, -56, -64, -112, -128, -224, -448, -896. Hence, factors of 896 in pair are (-1,-896), (-2,-448), (-4,-224), (-7,-128), (-8,-112), (-14,-64), (-16,-56), (-28,-32).

Help Deep in writing the positive factors of 896 in pair and negative factor of 896 in pair.

Factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896. Positive factors of 896 in pair are (1,896), (2,448), (4,224), (7,128), (8,112), (14,64), (16,56), (28,32). Negative factors of 896 in pair are (-1,-896), (-2,-448), (-4,-224), (-7,-128), (-8,-112), (-14,-64), (-16,-56), (-28,-32).

Find the product of all factors of 896.

Factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896. So the product of all factors of 896 would be 1 x 2 x 4 x 7 x 8 x 14 x 16 x 28 x 32 x 56 x 64 x 112 x 128 x 224 x 448 x 896 = 4.15397690167441e+23.

Find the product of all prime factors of 896.

Factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896. Prime factors are 2, 2, 2, 2, 2, 2, 2, 7. So, the product of all prime factors of 896 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 = 896.

Can you help Sammy list the factors of 896 and also find the factor pairs?

Factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896.
Factors of 896 in pair are (1,896), (2,448), (4,224), (7,128), (8,112), (14,64), (16,56), (28,32).

Sammy has 896 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 896 blocks in all possible ways to form a rectangle, we need to calculate factors of 896 in pair. Therefore, factors of 896 in pair are (1,896), (2,448), (4,224), (7,128), (8,112), (14,64), (16,56), (28,32)