# Factors of 930

Factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, and 930

#### How to find factors of a number

 1.   Find factors of 930 using Division Method 2.   Find factors of 930 using Prime Factorization 3.   Find factors of 930 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 930

• Divide 930 by 1: 930 ÷ 1 : Remainder = 0
• Divide 930 by 2: 930 ÷ 2 : Remainder = 0
• Divide 930 by 3: 930 ÷ 3 : Remainder = 0
• Divide 930 by 5: 930 ÷ 5 : Remainder = 0
• Divide 930 by 6: 930 ÷ 6 : Remainder = 0
• Divide 930 by 10: 930 ÷ 10 : Remainder = 0
• Divide 930 by 15: 930 ÷ 15 : Remainder = 0
• Divide 930 by 30: 930 ÷ 30 : Remainder = 0
• Divide 930 by 31: 930 ÷ 31 : Remainder = 0
• Divide 930 by 62: 930 ÷ 62 : Remainder = 0
• Divide 930 by 93: 930 ÷ 93 : Remainder = 0
• Divide 930 by 155: 930 ÷ 155 : Remainder = 0
• Divide 930 by 186: 930 ÷ 186 : Remainder = 0
• Divide 930 by 310: 930 ÷ 310 : Remainder = 0
• Divide 930 by 465: 930 ÷ 465 : Remainder = 0
• Divide 930 by 930: 930 ÷ 930 : Remainder = 0

Hence, Factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, and 930

#### 2. Steps to find factors of 930 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 930 using the division method, follow these steps:

• Step 1. Start dividing 930 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 930, which is 2. Divide 930 by 2 to obtain the quotient (465).
930 ÷ 2 = 465
• Step 3. Repeat step 1 with the obtained quotient (465).
465 ÷ 3 = 155
155 ÷ 5 = 31
31 ÷ 31 = 1

So, the prime factorization of 930 is, 930 = 2 x 3 x 5 x 31.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 930 as shown below:

So, the prime factorization of 930 is, 930 = 2 x 3 x 5 x 31.

#### 3. Find factors of 930 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 930 would be the two numbers which, when multiplied, give 930 as the result.

The following table represents the calculation of factors of 930 in pairs:

Factor Pair Pair Factorization
1 and 930 1 x 930 = 930
2 and 465 2 x 465 = 930
3 and 310 3 x 310 = 930
5 and 186 5 x 186 = 930
6 and 155 6 x 155 = 930
10 and 93 10 x 93 = 930
15 and 62 15 x 62 = 930
30 and 31 30 x 31 = 930

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 930. They are called negative pair factors.

Hence, the negative pairs of 930 would be ( -1 , -930 ) , ( -2 , -465 ) , ( -3 , -310 ) , ( -5 , -186 ) , ( -6 , -155 ) , ( -10 , -93 ) , ( -15 , -62 ) and ( -30 , -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. 930 is a factor of itself.
• 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, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930 are exact divisors of 930.
• 1 is a factor of every number. Eg. 1 is a factor of 930.
• Every number is a factor of zero (0), since 930 x 0 = 0.

• What are the prime factors of 930?

The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930.
Prime factors of 930 are 2, 3, 5, 31.

• What two numbers make 930?

Two numbers that make 930 are 2 and 465.

• What is the greatest prime factors of 930?

The greatest prime factor of 930 is 31.

• What are factors of 930?

Factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930.

• How do you find factors of a negative number? ( eg. -930 )?

Factors of -930 are -1, -2, -3, -5, -6, -10, -15, -30, -31, -62, -93, -155, -186, -310, -465, -930.

• What are five multiples of 930?

First five multiples of 930 are 1860, 2790, 3720, 4650, 5580.

• Write some multiples of 930?

First five multiples of 930 are 1860, 2790, 3720, 4650.

• Is 930 a perfect square?

No 930 is not a perfect square.

• What two numbers make 930?

Two numbers that make 930 are 2 and 465.

#### Examples of Factors

What is prime factorization of 930?

Prime factorization of 930 is 2 x 3 x 5 x 31 = 2 x 3 x 5 x 31.

Sammy is puzzled while calculating the prime factors of 930. Can you help him find them?

Factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930.
Prime factors of 930 are 2, 3, 5, 31

Kevin has been asked to write 15 factor(s) of 930. Can you predict the answer?

15 factor(s) of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465.

Joey wants to write all the prime factors of 930 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 930 are 2, 3, 5, 31.
So in exponential form it can be written as 2 x 3 x 5 x 31.

How many factors are there for 930?

Factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930.
So there are in total 16 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 930? Help her in writing all the factors.

Positive factors are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930.
Negative factors are -1, -2, -3, -5, -6, -10, -15, -30, -31, -62, -93, -155, -186, -310, -465, -930.

Can you help Rubel to find out the product of the even factors of 930?

Factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930.
Even factors of 930 are 2, 6, 10, 30, 62, 186, 310, 930.
Hence, product of even factors of 930 is; 2 x 6 x 10 x 30 x 62 x 186 x 310 x 930 = 11968832160000.