1. Steps to find factors of 1280 using Division Method

Example: Find factors of 1280

  • Divide 1280 by 1: 1280 ÷ 1 : Remainder = 0
  • Divide 1280 by 2: 1280 ÷ 2 : Remainder = 0
  • Divide 1280 by 4: 1280 ÷ 4 : Remainder = 0
  • Divide 1280 by 5: 1280 ÷ 5 : Remainder = 0
  • Divide 1280 by 8: 1280 ÷ 8 : Remainder = 0
  • Divide 1280 by 10: 1280 ÷ 10 : Remainder = 0
  • Divide 1280 by 16: 1280 ÷ 16 : Remainder = 0
  • Divide 1280 by 20: 1280 ÷ 20 : Remainder = 0
  • Divide 1280 by 32: 1280 ÷ 32 : Remainder = 0
  • Divide 1280 by 40: 1280 ÷ 40 : Remainder = 0
  • Divide 1280 by 64: 1280 ÷ 64 : Remainder = 0
  • Divide 1280 by 80: 1280 ÷ 80 : Remainder = 0
  • Divide 1280 by 128: 1280 ÷ 128 : Remainder = 0
  • Divide 1280 by 160: 1280 ÷ 160 : Remainder = 0
  • Divide 1280 by 256: 1280 ÷ 256 : Remainder = 0
  • Divide 1280 by 320: 1280 ÷ 320 : Remainder = 0
  • Divide 1280 by 640: 1280 ÷ 640 : Remainder = 0
  • Divide 1280 by 1280: 1280 ÷ 1280 : Remainder = 0

Hence, Factors of 1280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, and 1280

2. Steps to find factors of 1280 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 1280 using the division method, follow these steps:

  • Step 1. Start dividing 1280 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 1280, which is 2. Divide 1280 by 2 to obtain the quotient (640).
    1280 ÷ 2 = 640
  • Step 3. Repeat step 1 with the obtained quotient (640).
    640 ÷ 2 = 320
    320 ÷ 2 = 160
    160 ÷ 2 = 80
    80 ÷ 2 = 40
    40 ÷ 2 = 20
    20 ÷ 2 = 10
    10 ÷ 2 = 5
    5 ÷ 5 = 1

So, the prime factorization of 1280 is, 1280 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1280 as shown below:

So, the prime factorization of 1280 is, 1280 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5.

3. Find factors of 1280 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 1280 would be the two numbers which, when multiplied, give 1280 as the result.

The following table represents the calculation of factors of 1280 in pairs:

Factor Pair Pair Factorization
1 and 1280 1 x 1280 = 1280
2 and 640 2 x 640 = 1280
4 and 320 4 x 320 = 1280
5 and 256 5 x 256 = 1280
8 and 160 8 x 160 = 1280
10 and 128 10 x 128 = 1280
16 and 80 16 x 80 = 1280
20 and 64 20 x 64 = 1280
32 and 40 32 x 40 = 1280

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 1280. They are called negative pair factors.

Hence, the negative pairs of 1280 would be ( -1 , -1280 ) , ( -2 , -640 ) , ( -4 , -320 ) , ( -5 , -256 ) , ( -8 , -160 ) , ( -10 , -128 ) , ( -16 , -80 ) , ( -20 , -64 ) and ( -32 , -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. 1280 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1280.
  • Every number is a factor of zero (0), since 1280 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, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280 are exact divisors of 1280.
  • Factors of 1280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280. Each factor divides 1280 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280 are all less than or equal to 1280.

Frequently Asked Questions

  • What two numbers make 1280?

    Two numbers that make 1280 are 2 and 640.

  • What is prime factorization of 1280?

    Prime factorization of 1280 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5.

  • Write some multiples of 1280?

    First five multiples of 1280 are 2560, 3840, 5120, 6400.

  • Which is the smallest prime factor of 1280?

    The smallest prime factor of 1280 is 2.

  • Is 1280 a perfect square?

    No 1280 is not a perfect square.

  • What is the sum of all factors of 1280?

    The sum of all factors of 1280 is 3066.

  • What are factors of 1280?

    Factors of 1280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280.

  • How do you find factors of a negative number? ( eg. -1280 )?

    Factors of -1280 are -1, -2, -4, -5, -8, -10, -16, -20, -32, -40, -64, -80, -128, -160, -256, -320, -640, -1280.

  • Is 1280 a whole number?

    Yes 1280 is a whole number.

Examples of Factors

Joy wants to calculate mean of all the factors of 1280. Help him in finding the mean of 1280.

Factors of 1280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1280 is 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 32 + 40 + 64 + 80 + 128 + 160 + 256 + 320 + 640 + 1280 = 3066.
Hence, the mean of factors of 1280 is 3066 ÷ 18 = 170.33.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1280? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280.
Negative factors are -1, -2, -4, -5, -8, -10, -16, -20, -32, -40, -64, -80, -128, -160, -256, -320, -640, -1280.

Joey wants to write all the prime factors of 1280 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1280 are 2, 2, 2, 2, 2, 2, 2, 2, 5.
So in exponential form it can be written as 28 x 5.

Kevin has been asked to write 17 factor(s) of 1280. Can you predict the answer?

17 factor(s) of 1280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640.

Sammy is puzzled while calculating the prime factors of 1280. Can you help him find them?

Factors of 1280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280.
Prime factors of 1280 are 2, 2, 2, 2, 2, 2, 2, 2, 5

What is prime factorization of 1280?

Prime factorization of 1280 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 = 28 x 5.

Can you help Rubel to find out the product of the even factors of 1280?

Factors of 1280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280.
Even factors of 1280 are 2, 4, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280.
Hence, product of even factors of 1280 is; 2 x 4 x 8 x 10 x 16 x 20 x 32 x 40 x 64 x 80 x 128 x 160 x 256 x 320 x 640 x 1280 = 1.8446744073709552e+27.