**Factors the 64** space the herbal numbers that deserve to divide the initial number evenly. For example, 2 is a variable of 64 because 64 divided by 2 is same to 32. As soon as two components are multiply together and also they an outcome in the original number, climate they are called pair factors. By factorisation method, we can find the factors of 64.

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## Pair factors of 64

To discover the factor pairs that 64, main point the 2 numbers in a pair to get the original number together 64, together numbers are as follows:

If 1 × 64 = 64, then (1, 64) is a pair variable of 64.

2 × 32 = 64, (2, 32) is a pair variable of 64

4 × 16 = 64, climate (4, 16) is a pair aspect of 64

8 × 8 = 64, (8, 8) is a pair variable of 64

Therefore, the** hopeful pair determinants are **(1, 64), (2, 32), (4,16) and also (8, 8)

To discover the an unfavorable pair factors of 64, then proceed with the adhering to steps

-1 × -64 = 64, (-1, -64) is a pair aspect of 64.

-2 × -32 = 64, (-2, -32) is a pair variable of 64

-4 × -16 = 64, climate (-4, -16) is a pair aspect of 64

-8 × -8 = 64, (-8, -8) is a pair variable of 64

Therefore, the **negative pair factors are **(-1, -64), (-2,-32), (-4, -16) and (-8, -8).

## How to calculation the determinants of 64?

To discover the components of 64 we need to divide the initial number by all the herbal numbers from 1 to 64. The number that divide 64 completely, without leaving any type of remainder, space the required factors.

64 ÷ 1 = 64

64 ÷ 2 = 32

64 ÷ 4 = 16

64 ÷ 8 = 8

64 ÷ 16 = 4

64 ÷ 32 = 2

64 ÷ 64 = 1

Factors that 64 |

1, 2, 4, 8, 16, 32 and 64 |

### Prime factors of 64 By division Method

The number 64 is a composite and also it should have prime factors. Now let united state know how to calculation the prime components of a number 64.

**Step 1: **The an initial step is to division the number 64 with the smallest prime factor, speak 2.

64 ÷ 2 = 32

**Step 2**: Again division 32 by 2 and also the procedure goes on.

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1

Finally, we obtained the number 1 in ~ the finish of the department process. So that us cannot proceed further. So, the **prime factors of 64 **are created as** 2 x 2 × 2 x 2 x 2 x 2 or 26**, whereby 2 is a element number.

It is possible to find the exact number of factors the a number 64 v the aid of prime factorisation. The prime factor of the 64 is 26. The exponent in the prime factorisation is 6. Once you add the number 1 through the exponent 6, we acquire 7. I.e.,6 +1 = 7. Therefore, the number 64 has 7 factors.

## Solved Examples

**Q.1: uncover the amount of all the determinants of number 64 and also check even if it is it is odd or even?**

Solution: The factors are 1, 2, 4, 8, 16, 32 and 64. Currently by adding these components together we get;

1+2+4+8+16+32+64 = 127

Hence, 127 is an odd number.

**Q.2: A black board has an area that 64 sq.cm. If the size of the plank is 8 cm, then discover its width.**

Solution: Given,

Area that the board = 64 sq cm.

Given, size = 8 cm

A board deserve to be either rectangle-shaped or square.

Therefore, area will certainly be the product the the length and also width.

Area = length x width

Width = area ÷ length

= 64 ÷ 8

= 8

Therefore, width is likewise equal come 8 cm. So, we have the right to conclude that the blackboard is in square shape.

**Q.3: Jack studies everyday for 4 hours. In how numerous days he will cover 64 hours?**

Solution: number of hours Jack studies day-to-day = 4 hours

Total variety of hours = 64 hours

Therefore, variety of days to cover 64 hours = 64/4 = 16

Hence, if Jack research studies 4 hrs for 16 days, he will certainly cover 64 hours.

**Q.4: perform the common factors in between 64, 100 and 140.**

Solution: To discover the common factors we need to lsit under the factors of each number here.

Factors of 64 = 1, 2, 4, 8, 16, 32, 64

Factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50, 100

Factors that 140 = 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Common determinants of 64, 100 and 140 = 1, 2 and 4.

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