Factors of 61

The factors of 61 will be 1 and 61. These are the only numbers which divide 61 evenly without leaving any remainder. And, it always will be in a whole number. These are the only numbers that divide 61 exactly.

Negative Factors of 61 = Negative Factors of 61 are -1 and -61.

Prime Factors of 61 = 1 and 61

Prime Factorization of 61 =61

The Sum of Factors of 61 =61
 

To find the factors of 61, students need to divide the original number evenly without leaving a remainder. Some methods are explained below for easy solution of factors-

• Multiplication Method

• Division Method

• Prime Factors and Prime Factorization

• Factor Tree 

Students need to find pairs of numbers that multiply together to give the original number.

Multiply the factors 1 and 61

1×61 =61

Children number from 2 up to the square root of 61, where the square root of 61 is ±7.8. So, you need to check until 7.

61 / 2 =30.5

61 / 3 =20.3

61 / 4 =15.2

61 / 5 =12.2

61 / 6 =10.1

61 / 7 =8.7

None of the above numbers divide 61 evenly, 61 has no factors other than 1 and 61.

Prime factors are prime numbers, with 1 and the number as factors. Prime Factorization helps to express the prime factors in their exponential form.

Prime Factors: Number 61 has only two prime factors, 1 and 61.

Prime Factorization of 61: Prime Factorization breaks down the prime factors of 61

Prime Factorization of 61 is expressed as 61¹
 

For a prime number like 61, the factor tree only has two branches, 1 and 61. Where 61 can not be broken into smaller prime factors.

Factor trees are applicable when your number is composite.

Factor Pairs: Factor of 61 is divided into both positive and negative pairs. It is similar to team members.

The product of the factor pairs is equal to the integer.

Positive pair :(1, 61)

Negative pair :(-1, -61)

• Factor:This is a number that divides another number evenly without leaving any remainder.

• Divisor:It is said to be a number that divides another number evenly without leaving a remainder.

• Composite Number :A number which is greater than 1, and it has at least one positive integer other than 1 and the number itself.

• Multiple: It is a product of the given number and some other integer. 

• Prime Factorization:A method of splitting down a number to its prime factors, which are the smallest numbers that multiply to result in a given number.