# Factors of 620

Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, and 620

#### How to find factors of a number

 1.   Find factors of 620 using Division Method 2.   Find factors of 620 using Prime Factorization 3.   Find factors of 620 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 620

• Divide 620 by 1: 620 ÷ 1 : Remainder = 0
• Divide 620 by 2: 620 ÷ 2 : Remainder = 0
• Divide 620 by 4: 620 ÷ 4 : Remainder = 0
• Divide 620 by 5: 620 ÷ 5 : Remainder = 0
• Divide 620 by 10: 620 ÷ 10 : Remainder = 0
• Divide 620 by 20: 620 ÷ 20 : Remainder = 0
• Divide 620 by 31: 620 ÷ 31 : Remainder = 0
• Divide 620 by 62: 620 ÷ 62 : Remainder = 0
• Divide 620 by 124: 620 ÷ 124 : Remainder = 0
• Divide 620 by 155: 620 ÷ 155 : Remainder = 0
• Divide 620 by 310: 620 ÷ 310 : Remainder = 0
• Divide 620 by 620: 620 ÷ 620 : Remainder = 0

Hence, Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, and 620

#### 2. Steps to find factors of 620 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 620 using the division method, follow these steps:

• Step 1. Start dividing 620 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 620, which is 2. Divide 620 by 2 to obtain the quotient (310).
620 ÷ 2 = 310
• Step 3. Repeat step 1 with the obtained quotient (310).
310 ÷ 2 = 155
155 ÷ 5 = 31
31 ÷ 31 = 1

So, the prime factorization of 620 is, 620 = 2 x 2 x 5 x 31.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 620 as shown below:

So, the prime factorization of 620 is, 620 = 2 x 2 x 5 x 31.

#### 3. Find factors of 620 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 620 would be the two numbers which, when multiplied, give 620 as the result.

The following table represents the calculation of factors of 620 in pairs:

Factor Pair Pair Factorization
1 and 620 1 x 620 = 620
2 and 310 2 x 310 = 620
4 and 155 4 x 155 = 620
5 and 124 5 x 124 = 620
10 and 62 10 x 62 = 620
20 and 31 20 x 31 = 620

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 620. They are called negative pair factors.

Hence, the negative pairs of 620 would be ( -1 , -620 ) , ( -2 , -310 ) , ( -4 , -155 ) , ( -5 , -124 ) , ( -10 , -62 ) and ( -20 , -31 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 620 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 620.
• Every number is a factor of zero (0), since 620 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, 5, 10, 20, 31, 62, 124, 155, 310, 620 are exact divisors of 620.
• Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620. Each factor divides 620 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620 are all less than or equal to 620.

• What is prime factorization of 620?

Prime factorization of 620 is 2 x 2 x 5 x 31.

• How do you find factors of a negative number? ( eg. -620 )?

Factors of -620 are -1, -2, -4, -5, -10, -20, -31, -62, -124, -155, -310, -620.

• What are the prime factors of 620?

The factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620.
Prime factors of 620 are 2, 2, 5, 31.

• What are pair factors of 620?

The pair factors of 620 are (1,620), (2,310), (4,155), (5,124), (10,62), (20,31).

• What is the greatest prime factors of 620?

The greatest prime factor of 620 is 31.

• What are six multiples of 620?

First five multiples of 620 are 1240, 1860, 2480, 3100, 3720, 4340.

• What are factors of 620?

Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620.

• Which is the smallest prime factor of 620?

Smallest prime factor of 620 is 2.

• Is 620 a whole number?

Yes 620 is a whole number.

#### Examples of Factors

Kevin has been asked to write 11 factor(s) of 620. Can you predict the answer?

11 factor(s) of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310.

Sammy is puzzled while calculating the prime factors of 620. Can you help him find them?

Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620.
Prime factors of 620 are 2, 2, 5, 31

What is prime factorization of 620?

Prime factorization of 620 is 2 x 2 x 5 x 31 = 22 x 5 x 31.

Ariel has been assigned the task to find the product of all the prime factors of 620. Can you help her?

Prime factors of 620 are 2, 2, 5, 31.
Hence, the product of prime factors of 310.

Can you help Rubel to find out the product of the even factors of 620?

Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620.
Even factors of 620 are 2, 4, 10, 20, 62, 124, 310, 620.
Hence, product of even factors of 620 is; 2 x 4 x 10 x 20 x 62 x 124 x 310 x 620 = 2364213760000.

Joy wants to calculate mean of all the factors of 620. Help him in finding the mean of 620.

Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 620 is 1 + 2 + 4 + 5 + 10 + 20 + 31 + 62 + 124 + 155 + 310 + 620 = 1344.
Hence, the mean of factors of 620 is 1344 ÷ 12 = 112.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 620? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620.
Negative factors are -1, -2, -4, -5, -10, -20, -31, -62, -124, -155, -310, -620.