Factors of 660

Go back to 'All factors of a number pages' >

Factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, and 660

How to find factors of a number

1. Steps to find factors of 660 using Division Method

Find all the numbers which can divide 660 without leaving any remainder, starting from number 1 upto 330 (half of 660). The number 1 and the number (660) itself are always factors of the given number (660).
Note down all such number. All of those numbers are factors of 660.

Example: Find factors of 660

Divide 660 by 1: 660 ÷ 1 : Remainder = 0
Divide 660 by 2: 660 ÷ 2 : Remainder = 0
Divide 660 by 3: 660 ÷ 3 : Remainder = 0
Divide 660 by 4: 660 ÷ 4 : Remainder = 0
Divide 660 by 5: 660 ÷ 5 : Remainder = 0
Divide 660 by 6: 660 ÷ 6 : Remainder = 0
Divide 660 by 10: 660 ÷ 10 : Remainder = 0
Divide 660 by 11: 660 ÷ 11 : Remainder = 0
Divide 660 by 12: 660 ÷ 12 : Remainder = 0
Divide 660 by 15: 660 ÷ 15 : Remainder = 0
Divide 660 by 20: 660 ÷ 20 : Remainder = 0
Divide 660 by 22: 660 ÷ 22 : Remainder = 0
Divide 660 by 30: 660 ÷ 30 : Remainder = 0
Divide 660 by 33: 660 ÷ 33 : Remainder = 0
Divide 660 by 44: 660 ÷ 44 : Remainder = 0
Divide 660 by 55: 660 ÷ 55 : Remainder = 0
Divide 660 by 60: 660 ÷ 60 : Remainder = 0
Divide 660 by 66: 660 ÷ 66 : Remainder = 0
Divide 660 by 110: 660 ÷ 110 : Remainder = 0
Divide 660 by 132: 660 ÷ 132 : Remainder = 0
Divide 660 by 165: 660 ÷ 165 : Remainder = 0
Divide 660 by 220: 660 ÷ 220 : Remainder = 0
Divide 660 by 330: 660 ÷ 330 : Remainder = 0
Divide 660 by 660: 660 ÷ 660 : Remainder = 0

Hence, Factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, and 660

2. Steps to find factors of 660 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 660 using the division method, follow these steps:

Step 1. Start dividing 660 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 660, which is 2. Divide 660 by 2 to obtain the quotient (330).
660 ÷ 2 = 330
Step 3. Repeat step 1 with the obtained quotient (330).
330 ÷ 2 = 165

165 ÷ 3 = 55

55 ÷ 5 = 11

11 ÷ 11 = 1

So, the prime factorization of 660 is, 660 = 2 x 2 x 3 x 5 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 660 as shown below:

So, the prime factorization of 660 is, 660 = 2 x 2 x 3 x 5 x 11.

3. Find factors of 660 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 660 would be the two numbers which, when multiplied, give 660 as the result.

The following table represents the calculation of factors of 660 in pairs:

Factor Pair	Pair Factorization
1 and 660	1 x 660 = 660
2 and 330	2 x 330 = 660
3 and 220	3 x 220 = 660
4 and 165	4 x 165 = 660
5 and 132	5 x 132 = 660
6 and 110	6 x 110 = 660
10 and 66	10 x 66 = 660
11 and 60	11 x 60 = 660
12 and 55	12 x 55 = 660
15 and 44	15 x 44 = 660
20 and 33	20 x 33 = 660
22 and 30	22 x 30 = 660

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 660. They are called negative pair factors.

Hence, the negative pairs of 660 would be ( -1 , -660 ) , ( -2 , -330 ) , ( -3 , -220 ) , ( -4 , -165 ) , ( -5 , -132 ) , ( -6 , -110 ) , ( -10 , -66 ) , ( -11 , -60 ) , ( -12 , -55 ) , ( -15 , -44 ) , ( -20 , -33 ) and ( -22 , -30 ) .

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. 660 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 660.
Every number is a factor of zero (0), since 660 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, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660 are exact divisors of 660.
Factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660. Each factor divides 660 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660 are all less than or equal to 660.

Frequently Asked Questions

What are the prime factors of 660?
The factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660.
Prime factors of 660 are 2, 2, 3, 5, 11.
What two numbers make 660?
Two numbers that make 660 are 2 and 330.
What is the greatest prime factors of 660?
The greatest prime factor of 660 is 11.
What are factors of 660?
Factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660.
How do you find factors of a negative number? ( eg. -660 )?
Factors of -660 are -1, -2, -3, -4, -5, -6, -10, -11, -12, -15, -20, -22, -30, -33, -44, -55, -60, -66, -110, -132, -165, -220, -330, -660.
What are five multiples of 660?
First five multiples of 660 are 1320, 1980, 2640, 3300, 3960.
Write some multiples of 660?
First five multiples of 660 are 1320, 1980, 2640, 3300.
Is 660 a perfect square?
No 660 is not a perfect square.
What two numbers make 660?
Two numbers that make 660 are 2 and 330.

Examples of Factors

What is prime factorization of 660?

Prime factorization of 660 is 2 x 2 x 3 x 5 x 11 = 2² x 3 x 5 x 11.

Sammy is puzzled while calculating the prime factors of 660. Can you help him find them?

Factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660.
Prime factors of 660 are 2, 2, 3, 5, 11

Kevin has been asked to write 23 factor(s) of 660. Can you predict the answer?

23 factor(s) of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330.

Joey wants to write all the prime factors of 660 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 660 are 2, 2, 3, 5, 11.
So in exponential form it can be written as 2² x 3 x 5 x 11.

How many factors are there for 660?

Factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660.
So there are in total 24 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 660? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660.
Negative factors are -1, -2, -3, -4, -5, -6, -10, -11, -12, -15, -20, -22, -30, -33, -44, -55, -60, -66, -110, -132, -165, -220, -330, -660.

Can you help Rubel to find out the product of the even factors of 660?

Factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660.
Even factors of 660 are 2, 4, 6, 10, 12, 20, 22, 30, 44, 60, 66, 110, 132, 220, 330, 660.
Hence, product of even factors of 660 is; 2 x 4 x 6 x 10 x 12 x 20 x 22 x 30 x 44 x 60 x 66 x 110 x 132 x 220 x 330 x 660 = 9.217039520504218e+24.