Factors of 1792 in pair are (1, 1792) , (2, 896) , (4, 448) , (7, 256) , (8, 224) , (14, 128) , (16, 112) , (28, 64) and (32, 56)

How to find factors of a number in pair

Steps to find factors of 1792 in pair

Example: Find factors of 1792 in pair

Factor Pair Pair Factorization
1 and 1792 1 x 1792 = 1792
2 and 896 2 x 896 = 1792
4 and 448 4 x 448 = 1792
7 and 256 7 x 256 = 1792
8 and 224 8 x 224 = 1792
14 and 128 14 x 128 = 1792
16 and 112 16 x 112 = 1792
28 and 64 28 x 64 = 1792
32 and 56 32 x 56 = 1792

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 1792. They are called negative pair factors.

Hence, the negative pairs of 1792 would be ( -1 , -1792 ) .

How do you define factor pairs of a number?

A factor pair of a number can be defined as the combination of two factors in such a way that when multiplied together produce the number itself. Every natural number is a product of atleast one factor pair. Eg- Factors of 1792 are 1 , 2 , 4 , 7 , 8 , 14 , 16 , 28 , 32 , 56 , 64 , 112 , 128 , 224 , 256 , 448 , 896 , 1792. So, factors of 1792 in pair are (1,1792), (2,896), (4,448), (7,256), (8,224), (14,128), (16,112), (28,64), (32,56).

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of Factors

  • Each number is a factor of itself. Eg. 1792 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1792.
  • Every number is a factor of zero (0), since 1792 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, 256, 448, 896, 1792 are exact divisors of 1792.
  • Factors of 1792 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896, 1792. Each factor divides 1792 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, 256, 448, 896, 1792 are all less than or equal to 1792.

Steps to find Factors of 1792

  • Step 1. Find all the numbers that would divide 1792 without leaving any remainder. Starting with the number 1 upto 896 (half of 1792). The number 1 and the number itself are always factors of the given number.
    1792 ÷ 1 : Remainder = 0
    1792 ÷ 2 : Remainder = 0
    1792 ÷ 4 : Remainder = 0
    1792 ÷ 7 : Remainder = 0
    1792 ÷ 8 : Remainder = 0
    1792 ÷ 14 : Remainder = 0
    1792 ÷ 16 : Remainder = 0
    1792 ÷ 28 : Remainder = 0
    1792 ÷ 32 : Remainder = 0
    1792 ÷ 56 : Remainder = 0
    1792 ÷ 64 : Remainder = 0
    1792 ÷ 112 : Remainder = 0
    1792 ÷ 128 : Remainder = 0
    1792 ÷ 224 : Remainder = 0
    1792 ÷ 256 : Remainder = 0
    1792 ÷ 448 : Remainder = 0
    1792 ÷ 896 : Remainder = 0
    1792 ÷ 1792 : Remainder = 0

Hence, Factors of 1792 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896, and 1792

Frequently Asked Questions

  • Is 1792 a composite number?

    Yes 1792 is a composite number.

  • Is 1792 a prime number?

    No 1792 is not a prime number.

  • Write five multiples of 1792.

    Five multiples of 1792 are 3584, 5376, 7168, 8960, 10752.

  • Write all odd factors of 1792?

    The factors of 1792 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896, 1792.
    Odd factors of 1792 are 1 , 7.

  • What is the mean of all prime factors of 1792?

    Factors of 1792 are 1 , 2 , 4 , 7 , 8 , 14 , 16 , 28 , 32 , 56 , 64 , 112 , 128 , 224 , 256 , 448 , 896 , 1792. Prime factors of 1792 are 2 , 2 , 2 , 2 , 2 , 2 , 2 , 2 , 7. Therefore mean of prime factors of 1792 is (2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 7) / 9 = 2.56.

Examples of Factors

Ariel has been asked to write all factor pairs of 1792 but she is finding it difficult. Can you help her find out?

Factors of 1792 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896, 1792. So, factors of 1792 in pair are (1,1792), (2,896), (4,448), (7,256), (8,224), (14,128), (16,112), (28,64), (32,56).

Sammy wants to write all the negative factors of 1792 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1792 are -1, -2, -4, -7, -8, -14, -16, -28, -32, -56, -64, -112, -128, -224, -256, -448, -896, -1792. Hence, factors of 1792 in pair are (-1,-1792), (-2,-896), (-4,-448), (-7,-256), (-8,-224), (-14,-128), (-16,-112), (-28,-64), (-32,-56).

Help Deep in writing the positive factors of 1792 in pair and negative factor of 1792 in pair.

Factors of 1792 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896, 1792. Positive factors of 1792 in pair are (1,1792), (2,896), (4,448), (7,256), (8,224), (14,128), (16,112), (28,64), (32,56). Negative factors of 1792 in pair are (-1,-1792), (-2,-896), (-4,-448), (-7,-256), (-8,-224), (-14,-128), (-16,-112), (-28,-64), (-32,-56).

Find the product of all factors of 1792.

Factors of 1792 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896, 1792. So the product of all factors of 1792 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 256 x 448 x 896 x 1792 = 1.905645211596939e+29.

Find the product of all prime factors of 1792.

Factors of 1792 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896, 1792. Prime factors are 2, 2, 2, 2, 2, 2, 2, 2, 7. So, the product of all prime factors of 1792 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 = 1792.

Can you help Sammy list the factors of 1792 and also find the factor pairs?

Factors of 1792 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896, 1792.
Factors of 1792 in pair are (1,1792), (2,896), (4,448), (7,256), (8,224), (14,128), (16,112), (28,64), (32,56).

Sammy has 1792 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 1792 blocks in all possible ways to form a rectangle, we need to calculate factors of 1792 in pair. Therefore, factors of 1792 in pair are (1,1792), (2,896), (4,448), (7,256), (8,224), (14,128), (16,112), (28,64), (32,56)