**Factors the 56** space basically the number that divide it same or specifically without leaving any remainder i.e the element should division the number with zero remainders.

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**All determinants :**1,2,4,7,8,14,28,and 56.

**Prime components :**2,7.

**Factors in pairs:**(1,56), (2,28), (4,14), (7,8).

**Prime administer of** 56

**Prime factorization** is a an approach of “**expressing**” or **finding **the provided number together the product of element numbers. If a number occurs much more than once in prime factorization, that is usually expressed in exponential type to make it more compact.

The **prime administrate **comes the end to be**:** **2 × 2 × 2× 7**.

### Prime administer of 56 by Upside-Down department Method

**Upside-Down department **is among the approaches used in the prime factorization an approach to factor numbers.

In this method, you will certainly divide a provided “composite” number evenly by the numerous prime numbers(starting indigenous the smallest) till it it s okay a element number.

It is called **Upside-Down Division** due to the fact that the symbol is flipped upside down.

Here, 56is an also number. So it is certainly divisible by 2 with no remainder.

56 ÷ 2 = 28. Now uncover the prime factors of the derived quotient.

Repeat action 1 and also Step 2 till we get a result of element number together the quotient. Here, 28is the quotient.

28 ÷ 2 = 14. Here, 14 is the quotient.Now find the prime components of the 14.

14÷ 2= 7. Here, 7 is the element number.

So we have the right to stop theprocess.

**Prime administrate of 56 with upside-down division method is**:2× 2× 2× 7 = \(2^3 \times 7\).

**Prime administrate of56 by aspect Tree Method**

The **Factor tree method** is another an approach for producing the prime factorization and also all factors of a offered number.

**To usage this an approach for a number x,**

Firstly take into consideration two determinants say **a,b** of x such the a*b is equal to x and at the very least one of lock (a, b) is a prime element say a.

Then consider two determinants of b say c, d such the again at the very least one of castle is a element factor. This process is recurring until both the components are element i.e if we get both the determinants as prime at any kind of step, we avoid the process there.

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Following is the variable tree that the provided number.

Here us can obtain the element factorisation the 56 as 2 * 2 * 2 * 7 and also the two prime determinants are 2, 7