Factors of 6400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, and 6400

How to find factors of a number

1. Steps to find factors of 6400 using Division Method

Example: Find factors of 6400

  • Divide 6400 by 1: 6400 ÷ 1 : Remainder = 0
  • Divide 6400 by 2: 6400 ÷ 2 : Remainder = 0
  • Divide 6400 by 4: 6400 ÷ 4 : Remainder = 0
  • Divide 6400 by 5: 6400 ÷ 5 : Remainder = 0
  • Divide 6400 by 8: 6400 ÷ 8 : Remainder = 0
  • Divide 6400 by 10: 6400 ÷ 10 : Remainder = 0
  • Divide 6400 by 16: 6400 ÷ 16 : Remainder = 0
  • Divide 6400 by 20: 6400 ÷ 20 : Remainder = 0
  • Divide 6400 by 25: 6400 ÷ 25 : Remainder = 0
  • Divide 6400 by 32: 6400 ÷ 32 : Remainder = 0
  • Divide 6400 by 40: 6400 ÷ 40 : Remainder = 0
  • Divide 6400 by 50: 6400 ÷ 50 : Remainder = 0
  • Divide 6400 by 64: 6400 ÷ 64 : Remainder = 0
  • Divide 6400 by 80: 6400 ÷ 80 : Remainder = 0
  • Divide 6400 by 100: 6400 ÷ 100 : Remainder = 0
  • Divide 6400 by 128: 6400 ÷ 128 : Remainder = 0
  • Divide 6400 by 160: 6400 ÷ 160 : Remainder = 0
  • Divide 6400 by 200: 6400 ÷ 200 : Remainder = 0
  • Divide 6400 by 256: 6400 ÷ 256 : Remainder = 0
  • Divide 6400 by 320: 6400 ÷ 320 : Remainder = 0
  • Divide 6400 by 400: 6400 ÷ 400 : Remainder = 0
  • Divide 6400 by 640: 6400 ÷ 640 : Remainder = 0
  • Divide 6400 by 800: 6400 ÷ 800 : Remainder = 0
  • Divide 6400 by 1280: 6400 ÷ 1280 : Remainder = 0
  • Divide 6400 by 1600: 6400 ÷ 1600 : Remainder = 0
  • Divide 6400 by 3200: 6400 ÷ 3200 : Remainder = 0
  • Divide 6400 by 6400: 6400 ÷ 6400 : Remainder = 0

Hence, Factors of 6400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, and 6400

2. Steps to find factors of 6400 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 6400 using the division method, follow these steps:

  • Step 1. Start dividing 6400 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 6400, which is 2. Divide 6400 by 2 to obtain the quotient (3200).
    6400 ÷ 2 = 3200
  • Step 3. Repeat step 1 with the obtained quotient (3200).
    3200 ÷ 2 = 1600
    1600 ÷ 2 = 800
    800 ÷ 2 = 400
    400 ÷ 2 = 200
    200 ÷ 2 = 100
    100 ÷ 2 = 50
    50 ÷ 2 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So, the prime factorization of 6400 is, 6400 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 6400 as shown below:

So, the prime factorization of 6400 is, 6400 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5.

3. Find factors of 6400 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 6400 would be the two numbers which, when multiplied, give 6400 as the result.

The following table represents the calculation of factors of 6400 in pairs:

Factor Pair Pair Factorization
1 and 6400 1 x 6400 = 6400
2 and 3200 2 x 3200 = 6400
4 and 1600 4 x 1600 = 6400
5 and 1280 5 x 1280 = 6400
8 and 800 8 x 800 = 6400
10 and 640 10 x 640 = 6400
16 and 400 16 x 400 = 6400
20 and 320 20 x 320 = 6400
25 and 256 25 x 256 = 6400
32 and 200 32 x 200 = 6400
40 and 160 40 x 160 = 6400
50 and 128 50 x 128 = 6400
64 and 100 64 x 100 = 6400
80 and 80 80 x 80 = 6400

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 6400. They are called negative pair factors.

Hence, the negative pairs of 6400 would be ( -1 , -6400 ) , ( -2 , -3200 ) , ( -4 , -1600 ) , ( -5 , -1280 ) , ( -8 , -800 ) , ( -10 , -640 ) , ( -16 , -400 ) , ( -20 , -320 ) , ( -25 , -256 ) , ( -32 , -200 ) , ( -40 , -160 ) , ( -50 , -128 ) , ( -64 , -100 ) and ( -80 , -80 ) .

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. 6400 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 6400.
  • Every number is a factor of zero (0), since 6400 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, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400 are exact divisors of 6400.
  • Factors of 6400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400. Each factor divides 6400 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, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400 are all less than or equal to 6400.

Frequently Asked Questions

  • What are the prime factors of 6400?

    The factors of 6400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400.
    Prime factors of 6400 are 2, 2, 2, 2, 2, 2, 2, 2, 5, 5.

  • What is the sum of all factors of 6400?

    The sum of all factors of 6400 is 15841.

  • What are the pair factors of 6400?

    Pair factors of 6400 are (1,6400), (2,3200), (4,1600), (5,1280), (8,800), (10,640), (16,400), (20,320), (25,256), (32,200), (40,160), (50,128), (64,100), (80,80).

  • What two numbers make 6400?

    Two numbers that make 6400 are 2 and 3200.

  • What are multiples of 6400?

    First five multiples of 6400 are 12800, 19200, 25600, 32000.

  • Is 6400 a perfect square?

    Yes 6400 is a perfect square.

  • Which is greatest factor of 6400?

    The greatest factor of 6400 is 3200.

  • How do you factors of 6400?

    Factors of 6400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400.

  • What are five multiples of 6400?

    First five multiples of 6400 are 12800, 19200, 25600, 32000, 38400.

Examples of Factors

Can you help Rubel to find out the product of the even factors of 6400?

Factors of 6400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400.
Even factors of 6400 are 2, 4, 8, 10, 16, 20, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400.
Hence, product of even factors of 6400 is; 2 x 4 x 8 x 10 x 16 x 20 x 32 x 40 x 50 x 64 x 80 x 100 x 128 x 160 x 200 x 256 x 320 x 400 x 640 x 800 x 1280 x 1600 x 3200 x 6400 = 1.9342813113834066e+49.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 6400? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400.
Negative factors are -1, -2, -4, -5, -8, -10, -16, -20, -25, -32, -40, -50, -64, -80, -100, -128, -160, -200, -256, -320, -400, -640, -800, -1280, -1600, -3200, -6400.

How many factors are there for 6400?

Factors of 6400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400.
So there are in total 27 factors.

Sammy is puzzled while calculating the prime factors of 6400. Can you help him find them?

Factors of 6400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400.
Prime factors of 6400 are 2, 2, 2, 2, 2, 2, 2, 2, 5, 5

Joey wants to write all the prime factors of 6400 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 6400 are 2, 2, 2, 2, 2, 2, 2, 2, 5, 5.
So in exponential form it can be written as 28 x 52.

What is prime factorization of 6400?

Prime factorization of 6400 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 = 28 x 52.

Can you help Rubel to find out the product of the even factors of 6400?

Factors of 6400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400.
Even factors of 6400 are 2, 4, 8, 10, 16, 20, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400.
Hence, product of even factors of 6400 is; 2 x 4 x 8 x 10 x 16 x 20 x 32 x 40 x 50 x 64 x 80 x 100 x 128 x 160 x 200 x 256 x 320 x 400 x 640 x 800 x 1280 x 1600 x 3200 x 6400 = 1.9342813113834066e+49.