The factors of 56 are the numbers, which develop the result as 56 once two numbers space multiplied together. Factor pairs of the number 56 are the whole numbers which can be either positive or an adverse but no a fraction or decimal number. Take into consideration an example, the factor pair the 56 is composed as (1, 56) and (-1, -56). Thus, we can think about both confident and an adverse factor pairs of 11. To uncover the factors of a number, 56, us will usage the factorization method. In this article, we will learn the components of 56, pair factors and the prime components of 56 using the element factorization method with numerous solved examples.

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What space the determinants of 56?

The numbers that division 56 precisely are the factors of 56. In other words, the number which room multiplied in pairs leading to 56 are the components of 56. Together the number 56 is an even composite number, it has plenty of factors various other than 1 and 56. Thus, the components of 56 are 1, 2, 4, 7, 8, 14, 28 and 56.


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

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


Pair factors of 56

To find the pair factors, multiply the two numbers in a pair to gain the initial number as 56, such numbers space 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 optimistic pair components of 56 are (1, 56), (2, 28), (4, 14) and (7, 8). Similarly, the negative pair determinants of 56 room (-1, -56), (-2, -28), (-4, -14) and (-7, -8).

Factors of 56 by division Method

In the division method, the determinants of 56 deserve to be uncovered by dividing 56 by different consecutive integers. If the integers divide 56 exactly, then those integers are the components of 56. Now, let us start splitting 56 by 1 and then continue with the different integer numbers.

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

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

Note:

If we division 56 by numbers other than 1, 2, 4, 7, 8, 14, 28 and also 56, it leaves a remainder and also hence, they room not the determinants of 56.

Prime Factorization of 56

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

The first step is to division the number 56 v the smallest prime factor, speak 2.

56 ÷ 2 = 28

Again, divide 28 through 2 and the procedure goes on.

28 ÷ 2 = 14

14 ÷ 2 = 7

Now, if we divide 7 by 2 us will get a spring number, which cannot be a factor. So, currently proceed with the following prime numbers, i.e. 7 7 ÷ 7 = 1
Links concerned Factors
Factor the 15Factor of 36
Factors of 48Factors the 18
Factor the 24Factors the 25
Factors that 42Factor that 60
Factor of 35Factor that 27
Factor the 84Factor the 50

Examples

Example 1:

Find the typical factors that 56 and also 57.

Solution:

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

The components of 57 space 1, 3, 19 and 57.

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

Example 2:

Find the usual factors that 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 usual factor of 56 and 55 is 1.

Example 3:

Find the common factors that 56 and 65.

Solution:

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

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

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

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

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Frequently Asked concerns on determinants of 56


What space the determinants of 56?


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


What is the element factorization of 56?


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