Factors of 1380

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Factors of 1380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, and 1380

How to find factors of a number

1. Steps to find factors of 1380 using Division Method

Find all the numbers which can divide 1380 without leaving any remainder, starting from number 1 upto 690 (half of 1380). The number 1 and the number (1380) itself are always factors of the given number (1380).
Note down all such number. All of those numbers are factors of 1380.

Example: Find factors of 1380

Divide 1380 by 1: 1380 ÷ 1 : Remainder = 0
Divide 1380 by 2: 1380 ÷ 2 : Remainder = 0
Divide 1380 by 3: 1380 ÷ 3 : Remainder = 0
Divide 1380 by 4: 1380 ÷ 4 : Remainder = 0
Divide 1380 by 5: 1380 ÷ 5 : Remainder = 0
Divide 1380 by 6: 1380 ÷ 6 : Remainder = 0
Divide 1380 by 10: 1380 ÷ 10 : Remainder = 0
Divide 1380 by 12: 1380 ÷ 12 : Remainder = 0
Divide 1380 by 15: 1380 ÷ 15 : Remainder = 0
Divide 1380 by 20: 1380 ÷ 20 : Remainder = 0
Divide 1380 by 23: 1380 ÷ 23 : Remainder = 0
Divide 1380 by 30: 1380 ÷ 30 : Remainder = 0
Divide 1380 by 46: 1380 ÷ 46 : Remainder = 0
Divide 1380 by 60: 1380 ÷ 60 : Remainder = 0
Divide 1380 by 69: 1380 ÷ 69 : Remainder = 0
Divide 1380 by 92: 1380 ÷ 92 : Remainder = 0
Divide 1380 by 115: 1380 ÷ 115 : Remainder = 0
Divide 1380 by 138: 1380 ÷ 138 : Remainder = 0
Divide 1380 by 230: 1380 ÷ 230 : Remainder = 0
Divide 1380 by 276: 1380 ÷ 276 : Remainder = 0
Divide 1380 by 345: 1380 ÷ 345 : Remainder = 0
Divide 1380 by 460: 1380 ÷ 460 : Remainder = 0
Divide 1380 by 690: 1380 ÷ 690 : Remainder = 0
Divide 1380 by 1380: 1380 ÷ 1380 : Remainder = 0

Hence, Factors of 1380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, and 1380

2. Steps to find factors of 1380 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 1380 using the division method, follow these steps:

Step 1. Start dividing 1380 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 1380, which is 2. Divide 1380 by 2 to obtain the quotient (690).
1380 ÷ 2 = 690
Step 3. Repeat step 1 with the obtained quotient (690).
690 ÷ 2 = 345

345 ÷ 3 = 115

115 ÷ 5 = 23

23 ÷ 23 = 1

So, the prime factorization of 1380 is, 1380 = 2 x 2 x 3 x 5 x 23.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1380 as shown below:

So, the prime factorization of 1380 is, 1380 = 2 x 2 x 3 x 5 x 23.

3. Find factors of 1380 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 1380 would be the two numbers which, when multiplied, give 1380 as the result.

The following table represents the calculation of factors of 1380 in pairs:

Factor Pair	Pair Factorization
1 and 1380	1 x 1380 = 1380
2 and 690	2 x 690 = 1380
3 and 460	3 x 460 = 1380
4 and 345	4 x 345 = 1380
5 and 276	5 x 276 = 1380
6 and 230	6 x 230 = 1380
10 and 138	10 x 138 = 1380
12 and 115	12 x 115 = 1380
15 and 92	15 x 92 = 1380
20 and 69	20 x 69 = 1380
23 and 60	23 x 60 = 1380
30 and 46	30 x 46 = 1380

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 1380. They are called negative pair factors.

Hence, the negative pairs of 1380 would be ( -1 , -1380 ) , ( -2 , -690 ) , ( -3 , -460 ) , ( -4 , -345 ) , ( -5 , -276 ) , ( -6 , -230 ) , ( -10 , -138 ) , ( -12 , -115 ) , ( -15 , -92 ) , ( -20 , -69 ) , ( -23 , -60 ) and ( -30 , -46 ) .

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. 1380 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 1380.
Every number is a factor of zero (0), since 1380 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, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380 are exact divisors of 1380.
Factors of 1380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380. Each factor divides 1380 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, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380 are all less than or equal to 1380.

Frequently Asked Questions

What are the prime factors of 1380?
The factors of 1380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380.
Prime factors of 1380 are 2, 2, 3, 5, 23.
What two numbers make 1380?
Two numbers that make 1380 are 2 and 690.
What is the greatest prime factors of 1380?
The greatest prime factor of 1380 is 23.
What are factors of 1380?
Factors of 1380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380.
How do you find factors of a negative number? ( eg. -1380 )?
Factors of -1380 are -1, -2, -3, -4, -5, -6, -10, -12, -15, -20, -23, -30, -46, -60, -69, -92, -115, -138, -230, -276, -345, -460, -690, -1380.
What are five multiples of 1380?
First five multiples of 1380 are 2760, 4140, 5520, 6900, 8280.
Write some multiples of 1380?
First five multiples of 1380 are 2760, 4140, 5520, 6900.
Is 1380 a perfect square?
No 1380 is not a perfect square.
What two numbers make 1380?
Two numbers that make 1380 are 2 and 690.

Examples of Factors

What is prime factorization of 1380?

Prime factorization of 1380 is 2 x 2 x 3 x 5 x 23 = 2² x 3 x 5 x 23.

Sammy is puzzled while calculating the prime factors of 1380. Can you help him find them?

Factors of 1380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380.
Prime factors of 1380 are 2, 2, 3, 5, 23

Kevin has been asked to write 23 factor(s) of 1380. Can you predict the answer?

23 factor(s) of 1380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690.

Joey wants to write all the prime factors of 1380 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1380 are 2, 2, 3, 5, 23.
So in exponential form it can be written as 2² x 3 x 5 x 23.

How many factors are there for 1380?

Factors of 1380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380.
So there are in total 24 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1380? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380.
Negative factors are -1, -2, -3, -4, -5, -6, -10, -12, -15, -20, -23, -30, -46, -60, -69, -92, -115, -138, -230, -276, -345, -460, -690, -1380.

Can you help Rubel to find out the product of the even factors of 1380?

Factors of 1380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380.
Even factors of 1380 are 2, 4, 6, 10, 12, 20, 30, 46, 60, 92, 138, 230, 276, 460, 690, 1380.
Hence, product of even factors of 1380 is; 2 x 4 x 6 x 10 x 12 x 20 x 30 x 46 x 60 x 92 x 138 x 230 x 276 x 460 x 690 x 1380 = 3.3672290266555413e+27.