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Factors of 930

Factors of 930 are integers that can be divided evenly into 930. There are overall 16 factors of 930 among which 930 is the biggest factor and 2, 3, 5, 31 are its prime factors. The Prime Factorization of 930 is 2¹ × 3¹ × 5¹ × 31¹.

All Factors of 930: 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465 and 930
Prime Factors of 930: 2, 3, 5, 31
Prime Factorization of 930: 2¹ × 3¹ × 5¹ × 31¹
Sum of Factors of 930: 2304

1.	What Are the Factors of 930?
2.	Factors of 930 by Prime Factorization
3.	Factors of 930 in Pairs
4.	FAQs on Factors of 930

What are Factors of 930?

Factors of 930 are pairs of those numbers whose products result in 930. These factors are either prime numbers or composite numbers.

How to Find the Factors of 930?

To find the factors of 930, we will have to find the list of numbers that would divide 930 without leaving any remainder.

930/6 = 155; therefore, 6 is a factor of 930 and 155 is also a factor of 930.
930/31 = 30; therefore, 31 is a factor of 930 and 30 is also a factor of 930.

Similarly we can find other factors. Hence, the factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930.

☛ Also Check:

Factors of 57 - The factors of 57 are 1, 3, 19, 57
Factors of 21 - The factors of 21 are 1, 3, 7, 21
Factors of 25 - The factors of 25 are 1, 5, 25
Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
Factors of 31 - The factors of 31 are 1, 31

Factors of 930 by Prime Factorization

The number 930 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 930. The first step is to divide the number 930 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

930 ÷ 2 = 465

Further dividing 465 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 465 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 930 can be written as 2¹ × 3¹ × 5¹ × 31¹ where 2, 3, 5, 31 are prime.

Factors of 930 in Pairs

Pair factors of 930 are the pairs of numbers that when multiplied give the product 930. The factors of 930 in pairs are:

1 × 930 = (1, 930)
2 × 465 = (2, 465)
3 × 310 = (3, 310)
5 × 186 = (5, 186)
6 × 155 = (6, 155)
10 × 93 = (10, 93)
15 × 62 = (15, 62)
30 × 31 = (30, 31)

Negative pair factors of 930 are:

-1 × -930 = (-1, -930)
-2 × -465 = (-2, -465)
-3 × -310 = (-3, -310)
-5 × -186 = (-5, -186)
-6 × -155 = (-6, -155)
-10 × -93 = (-10, -93)
-15 × -62 = (-15, -62)
-30 × -31 = (-30, -31)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.

Factors of 930 Solved Examples

Example 1: How many factors are there for 930?

Solution:

The factors of 930 are too many, therefore if we can find the prime factorization of 930, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is a^x × b^y × c^z where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).

Prime Factorization of 930 = 2¹ × 3¹ × 5¹ × 31¹
Therefore, the total number of factors are (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 2 × 2 × 2 × 2 = 16
Example 2: Find the Least Common Multiple and Highest Common Factor (HCF) of 930 and 492.

Solution:

The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930 and factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492.

Therefore, the Least Common Multiple of 930 and 492 is 76260 and Highest Common Factor (HCF) of 930 and 492 is 6.
Example 3: Find if 1, 5, 10, 30, 62, 93, 186 and 699 are factors of 930.

Solution:

When we divide 930 by 699 it leaves a remainder. Therefore, the number 699 is not a factor of 930. All numbers except 699 are factors of 930.
Example 4: Find the product of all the prime factors of 930.

Solution:

Since, the prime factors of 930 are 2, 3, 5, 31. Therefore, the product of prime factors = 2 × 3 × 5 × 31 = 930.

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FAQs on Factors of 930

What are the Factors of 930?

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

What is the Sum of the Factors of 930?

Sum of all factors of 930 = (2^{1 + 1} - 1)/(2 - 1) × (3^{1 + 1} - 1)/(3 - 1) × (5^{1 + 1} - 1)/(5 - 1) × (31^{1 + 1} - 1)/(31 - 1) = 2304

What numbers are the Pair Factors of 930?

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

What is the Greatest Common Factor of 930 and 907?

The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930 and the factors of 907 are 1, 907. 930 and 907 have only one common factor which is 1. This implies that 930 and 907 are co-prime.

Hence, the Greatest Common Factor (GCF) of 930 and 907 is 1.

How Many Factors of 599 are also common to the Factors of 930?

Since, the factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930 and factors of 599 are 1, 599. Hence, 930 and 599 have only one common factor which is 1. Therefore, 930 and 599 are co-prime.

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