# Factors of 1040

Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, and 1040

#### How to find factors of a number

 1.   Find factors of 1040 using Division Method 2.   Find factors of 1040 using Prime Factorization 3.   Find factors of 1040 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1040

• Divide 1040 by 1: 1040 ÷ 1 : Remainder = 0
• Divide 1040 by 2: 1040 ÷ 2 : Remainder = 0
• Divide 1040 by 4: 1040 ÷ 4 : Remainder = 0
• Divide 1040 by 5: 1040 ÷ 5 : Remainder = 0
• Divide 1040 by 8: 1040 ÷ 8 : Remainder = 0
• Divide 1040 by 10: 1040 ÷ 10 : Remainder = 0
• Divide 1040 by 13: 1040 ÷ 13 : Remainder = 0
• Divide 1040 by 16: 1040 ÷ 16 : Remainder = 0
• Divide 1040 by 20: 1040 ÷ 20 : Remainder = 0
• Divide 1040 by 26: 1040 ÷ 26 : Remainder = 0
• Divide 1040 by 40: 1040 ÷ 40 : Remainder = 0
• Divide 1040 by 52: 1040 ÷ 52 : Remainder = 0
• Divide 1040 by 65: 1040 ÷ 65 : Remainder = 0
• Divide 1040 by 80: 1040 ÷ 80 : Remainder = 0
• Divide 1040 by 104: 1040 ÷ 104 : Remainder = 0
• Divide 1040 by 130: 1040 ÷ 130 : Remainder = 0
• Divide 1040 by 208: 1040 ÷ 208 : Remainder = 0
• Divide 1040 by 260: 1040 ÷ 260 : Remainder = 0
• Divide 1040 by 520: 1040 ÷ 520 : Remainder = 0
• Divide 1040 by 1040: 1040 ÷ 1040 : Remainder = 0

Hence, Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, and 1040

#### 2. Steps to find factors of 1040 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 1040 using the division method, follow these steps:

• Step 1. Start dividing 1040 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 1040, which is 2. Divide 1040 by 2 to obtain the quotient (520).
1040 ÷ 2 = 520
• Step 3. Repeat step 1 with the obtained quotient (520).
520 ÷ 2 = 260
260 ÷ 2 = 130
130 ÷ 2 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1

So, the prime factorization of 1040 is, 1040 = 2 x 2 x 2 x 2 x 5 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1040 as shown below:

So, the prime factorization of 1040 is, 1040 = 2 x 2 x 2 x 2 x 5 x 13.

#### 3. Find factors of 1040 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 1040 would be the two numbers which, when multiplied, give 1040 as the result.

The following table represents the calculation of factors of 1040 in pairs:

Factor Pair Pair Factorization
1 and 1040 1 x 1040 = 1040
2 and 520 2 x 520 = 1040
4 and 260 4 x 260 = 1040
5 and 208 5 x 208 = 1040
8 and 130 8 x 130 = 1040
10 and 104 10 x 104 = 1040
13 and 80 13 x 80 = 1040
16 and 65 16 x 65 = 1040
20 and 52 20 x 52 = 1040
26 and 40 26 x 40 = 1040

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 1040. They are called negative pair factors.

Hence, the negative pairs of 1040 would be ( -1 , -1040 ) , ( -2 , -520 ) , ( -4 , -260 ) , ( -5 , -208 ) , ( -8 , -130 ) , ( -10 , -104 ) , ( -13 , -80 ) , ( -16 , -65 ) , ( -20 , -52 ) and ( -26 , -40 ) .

#### 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. 1040 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1040.
• Every number is a factor of zero (0), since 1040 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, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040 are exact divisors of 1040.
• Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040. Each factor divides 1040 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040 are all less than or equal to 1040.

• What are the pair factors of 1040?

Pair factors of 1040 are (1,1040), (2,520), (4,260), (5,208), (8,130), (10,104), (13,80), (16,65), (20,52), (26,40).

• What are five multiples of 1040?

First five multiples of 1040 are 2080, 3120, 4160, 5200, 6240.

• What two numbers make 1040?

Two numbers that make 1040 are 2 and 520.

• What is the sum of all factors of 1040?

The sum of all factors of 1040 is 2604.

• What are factors of -1040?

Factors of -1040 are -1, -2, -4, -5, -8, -10, -13, -16, -20, -26, -40, -52, -65, -80, -104, -130, -208, -260, -520, -1040.

• What are factors of 1040?

Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040.

• Is 1040 a perfect square?

No 1040 is not a perfect square.

• Which is the smallest prime factor of 1040?

Smallest prime factor of 1040 is 2.

• Which is greatest factor of 1040?

The greatest factor of 1040 is 520.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 1040?

Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040.
Odd factors of 1040 are 1, 5, 13, 65.
Hence product of odd factors of 1040 is; 1 x 5 x 13 x 65 = 4225.

Joey wants to write all the prime factors of 1040 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1040 are 2, 2, 2, 2, 5, 13.
So in exponential form it can be written as 24 x 5 x 13.

How many factors are there for 1040?

Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040.
So there are in total 20 factors.

Kevin has been asked to write 19 factor(s) of 1040. Can you predict the answer?

19 factor(s) of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520.

Sammy is puzzled while calculating the prime factors of 1040. Can you help him find them?

Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040.
Prime factors of 1040 are 2, 2, 2, 2, 5, 13

What is prime factorization of 1040?

Prime factorization of 1040 is 2 x 2 x 2 x 2 x 5 x 13 = 24 x 5 x 13.

Can you help Rubel to find out the product of the even factors of 1040?

Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040.
Even factors of 1040 are 2, 4, 8, 10, 16, 20, 26, 40, 52, 80, 104, 130, 208, 260, 520, 1040.
Hence, product of even factors of 1040 is; 2 x 4 x 8 x 10 x 16 x 20 x 26 x 40 x 52 x 80 x 104 x 130 x 208 x 260 x 520 x 1040 = 3.5035367690375004e+26.