The factors of 56 space the numbers, which produce the an outcome as 56 once two numbers are multiplied together. Factor pairs that the number 56 room the totality numbers which could be either confident or negative but no a fraction or decimal number. Take into consideration an example, the factor pair of 56 is composed as (1, 56) and also (-1, -56). Thus, us can think about both positive and an adverse factor bag of 11. To uncover the factors of a number, 56, us will use the administrate method. In this article, we will discover the factors of 56, pair factors and the prime factors of 56 using the prime factorization technique with numerous solved examples.

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Table of Contents:

What room the components of 56?

The numbers that divide 56 specifically are the components of 56. In other words, the number which are multiplied in pairs bring about 56 space the determinants of 56. Together the number 56 is an also composite number, it has countless factors various other than 1 and also 56. Thus, the determinants of 56 space 1, 2, 4, 7, 8, 14, 28 and also 56.


Factors of 56: 1, 2, 4, 7, 8, 14, 28 and 56.

Prime factorization of 56: 2×2×2×7 or 23 × 7.


Pair factors of 56

To uncover the pair factors, multiply the two numbers in a pair to obtain the initial number as 56, together numbers are as follows


Positive pair FactorsNegative Pair Factors
1 × 56 = 56 ⇒(1, 56)-1 × -56 = 56 ⇒(-1, -56)
2 × 28 = 56 ⇒ (2, 28) -2 × -28 = 56 ⇒ (-2, -28)
4 × 14 = 56 ⇒ (4, 14)-4 × -14 = 56 ⇒ (-4, -14)
7 × 8 = 56 ⇒(7, 8)-7 × -8 = 56 ⇒(-7, -8)

Therefore, the confident pair components of 56 are (1, 56), (2, 28), (4, 14) and (7, 8). Similarly, the negative pair components of 56 space (-1, -56), (-2, -28), (-4, -14) and (-7, -8).

Factors of 56 by division Method

In the department method, the determinants of 56 can be discovered by separating 56 by various consecutive integers. If the integers divide 56 exactly, climate those integers are the determinants of 56. Now, let united state start separating 56 by 1 and then continue with the different integer numbers.

56/1 = 56 (Factor = 1 and remainder = 0)56/2 = 28 (Factor = 2 and also remainder = 0)56/4 = 14 (Factor = 4 and remainder = 0)56/7 = 8 (Factor = 7 and also remainder = 0)56/8 = 7 (Factor = 8 and remainder = 0)56/14 = 4 (Factor = 14 and also remainder = 0)56/28 = 2 (Factor = 28 and remainder = 0)56/56 = 1 (Factor = 56 and also remainder =0)

Thus, the factors of 56 are 1, 2, 4, 7, 8, 14, 28 and also 56.

Note:

If we divide 56 by numbers various other than 1, 2, 4, 7, 8, 14, 28 and also 56, it pipeline a remainder and also hence, they space not the factors of 56.

Prime Factorization that 56

The number 56 is a composite number and also it has prime factors. Now let us know exactly how to discover the prime determinants of a number.

The an initial step is to division the number 56 with the the smallest prime factor, say 2.

56 ÷ 2 = 28

Again, divide 28 by 2 and the process goes on.

28 ÷ 2 = 14

14 ÷ 2 = 7

Now, if we division 7 by 2 us will get a fountain number, which cannot be a factor. So, now proceed v the next prime numbers, i.e. 7 7 ÷ 7 = 1
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Examples

Example 1:

Find the typical factors the 56 and 57.

Solution:

The determinants of 56 space 1, 2, 4, 7, 8, 14, 28 and 56 

The determinants of 57 room 1, 3, 19 and also 57.

Thus, the usual factor of 56 and 57 is 1.

Example 2:

Find the usual factors the 56 and 55.

Solution:

Factors the 56 = 1, 2, 4, 7, 8, 14, 28 and 56

The components of 55 = 1, 5, 11 and also 55.

Thus, the typical factor the 56 and 55 is 1.

Example 3:

Find the common factors that 56 and also 65.

Solution:

The factors of 56 room 1, 2, 4, 7, 8, 14, 28 and 56.

The components of 65 are 1, 5, 13 and 65.

Hence, the typical factor of 56 and 65 is 1 only.

Learn an ext about factors and also prime factors of other numbers by downloading BYJU’S – The Learning application for a far better experience and also clarification.

See more: Whats 2/3 Plus 2/3 Plus 2/3 Equals, 2/3 Plus 2/3 Equals


Frequently Asked questions on factors of 56


What are the factors of 56?


The components of 56 space the number that room multiplied in pairs resulting in an original number 56. Thus, the components of 56 space 1, 2, 4, 7, 8, 14, 28 and 56.


What is the prime factorization of 56?


The element factorization of 56 is 2×2×2×7 or 23 × 7