# Factors of 616

Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, and 616

#### How to find factors of a number

 1.   Find factors of 616 using Division Method 2.   Find factors of 616 using Prime Factorization 3.   Find factors of 616 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 616

• Divide 616 by 1: 616 ÷ 1 : Remainder = 0
• Divide 616 by 2: 616 ÷ 2 : Remainder = 0
• Divide 616 by 4: 616 ÷ 4 : Remainder = 0
• Divide 616 by 7: 616 ÷ 7 : Remainder = 0
• Divide 616 by 8: 616 ÷ 8 : Remainder = 0
• Divide 616 by 11: 616 ÷ 11 : Remainder = 0
• Divide 616 by 14: 616 ÷ 14 : Remainder = 0
• Divide 616 by 22: 616 ÷ 22 : Remainder = 0
• Divide 616 by 28: 616 ÷ 28 : Remainder = 0
• Divide 616 by 44: 616 ÷ 44 : Remainder = 0
• Divide 616 by 56: 616 ÷ 56 : Remainder = 0
• Divide 616 by 77: 616 ÷ 77 : Remainder = 0
• Divide 616 by 88: 616 ÷ 88 : Remainder = 0
• Divide 616 by 154: 616 ÷ 154 : Remainder = 0
• Divide 616 by 308: 616 ÷ 308 : Remainder = 0
• Divide 616 by 616: 616 ÷ 616 : Remainder = 0

Hence, Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, and 616

#### 2. Steps to find factors of 616 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 616 using the division method, follow these steps:

• Step 1. Start dividing 616 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 616, which is 2. Divide 616 by 2 to obtain the quotient (308).
616 ÷ 2 = 308
• Step 3. Repeat step 1 with the obtained quotient (308).
308 ÷ 2 = 154
154 ÷ 2 = 77
77 ÷ 7 = 11
11 ÷ 11 = 1

So, the prime factorization of 616 is, 616 = 2 x 2 x 2 x 7 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 616 as shown below:

So, the prime factorization of 616 is, 616 = 2 x 2 x 2 x 7 x 11.

#### 3. Find factors of 616 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 616 would be the two numbers which, when multiplied, give 616 as the result.

The following table represents the calculation of factors of 616 in pairs:

Factor Pair Pair Factorization
1 and 616 1 x 616 = 616
2 and 308 2 x 308 = 616
4 and 154 4 x 154 = 616
7 and 88 7 x 88 = 616
8 and 77 8 x 77 = 616
11 and 56 11 x 56 = 616
14 and 44 14 x 44 = 616
22 and 28 22 x 28 = 616

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 616. They are called negative pair factors.

Hence, the negative pairs of 616 would be ( -1 , -616 ) , ( -2 , -308 ) , ( -4 , -154 ) , ( -7 , -88 ) , ( -8 , -77 ) , ( -11 , -56 ) , ( -14 , -44 ) and ( -22 , -28 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 616 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 616.
• Every number is a factor of zero (0), since 616 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616 are exact divisors of 616.
• Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616. Each factor divides 616 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616 are all less than or equal to 616.

• Is 616 a perfect square?

No 616 is not a perfect square.

• What are factors of 616?

Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616.

• Which is greatest factor of 616?

The greatest factor of 616 is 308.

• What is the sum of all factors of 616?

The sum of all factors of 616 is 1440.

• What are multiples of 616?

First five multiples of 616 are 1232, 1848, 2464, 3080.

• What is the greatest prime factors of 616?

The greatest prime factor of 616 is 11.

• What are six multiples of 616?

First five multiples of 616 are 1232, 1848, 2464, 3080, 3696, 4312.

• What is prime factorization of 616?

Prime factorization of 616 is 2 x 2 x 2 x 7 x 11.

• Is 616 a whole number?

Yes 616 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 616? Help her in writing all the factors.

Positive factors are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616.
Negative factors are -1, -2, -4, -7, -8, -11, -14, -22, -28, -44, -56, -77, -88, -154, -308, -616.

Can you help Sammy find out the product of the odd factors of 616?

Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616.
Odd factors of 616 are 1, 7, 11, 77.
Hence product of odd factors of 616 is; 1 x 7 x 11 x 77 = 5929.

Joey wants to write all the prime factors of 616 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 616 are 2, 2, 2, 7, 11.
So in exponential form it can be written as 23 x 7 x 11.

How many factors are there for 616?

Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616.
So there are in total 16 factors.

Kevin has been asked to write 15 factor(s) of 616. Can you predict the answer?

15 factor(s) of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308.

Sammy is puzzled while calculating the prime factors of 616. Can you help him find them?

Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616.
Prime factors of 616 are 2, 2, 2, 7, 11

What is prime factorization of 616?

Prime factorization of 616 is 2 x 2 x 2 x 7 x 11 = 23 x 7 x 11.