Factors of 1000000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 3125, 4000, 5000, 6250, 8000, 10000, 12500, 15625, 20000, 25000, 31250, 40000, 50000, 62500, 100000, 125000, 200000, 250000, 500000, and 1000000

How to find factors of a number

1. Steps to find factors of 1000000 using Division Method

Example: Find factors of 1000000

  • Divide 1000000 by 1: 1000000 ÷ 1 : Remainder = 0
  • Divide 1000000 by 2: 1000000 ÷ 2 : Remainder = 0
  • Divide 1000000 by 4: 1000000 ÷ 4 : Remainder = 0
  • Divide 1000000 by 5: 1000000 ÷ 5 : Remainder = 0
  • Divide 1000000 by 8: 1000000 ÷ 8 : Remainder = 0
  • Divide 1000000 by 10: 1000000 ÷ 10 : Remainder = 0
  • Divide 1000000 by 16: 1000000 ÷ 16 : Remainder = 0
  • Divide 1000000 by 20: 1000000 ÷ 20 : Remainder = 0
  • Divide 1000000 by 25: 1000000 ÷ 25 : Remainder = 0
  • Divide 1000000 by 32: 1000000 ÷ 32 : Remainder = 0
  • Divide 1000000 by 40: 1000000 ÷ 40 : Remainder = 0
  • Divide 1000000 by 50: 1000000 ÷ 50 : Remainder = 0
  • Divide 1000000 by 64: 1000000 ÷ 64 : Remainder = 0
  • Divide 1000000 by 80: 1000000 ÷ 80 : Remainder = 0
  • Divide 1000000 by 100: 1000000 ÷ 100 : Remainder = 0
  • Divide 1000000 by 125: 1000000 ÷ 125 : Remainder = 0
  • Divide 1000000 by 160: 1000000 ÷ 160 : Remainder = 0
  • Divide 1000000 by 200: 1000000 ÷ 200 : Remainder = 0
  • Divide 1000000 by 250: 1000000 ÷ 250 : Remainder = 0
  • Divide 1000000 by 320: 1000000 ÷ 320 : Remainder = 0
  • Divide 1000000 by 400: 1000000 ÷ 400 : Remainder = 0
  • Divide 1000000 by 500: 1000000 ÷ 500 : Remainder = 0
  • Divide 1000000 by 625: 1000000 ÷ 625 : Remainder = 0
  • Divide 1000000 by 800: 1000000 ÷ 800 : Remainder = 0
  • Divide 1000000 by 1000: 1000000 ÷ 1000 : Remainder = 0
  • Divide 1000000 by 1250: 1000000 ÷ 1250 : Remainder = 0
  • Divide 1000000 by 1600: 1000000 ÷ 1600 : Remainder = 0
  • Divide 1000000 by 2000: 1000000 ÷ 2000 : Remainder = 0
  • Divide 1000000 by 2500: 1000000 ÷ 2500 : Remainder = 0
  • Divide 1000000 by 3125: 1000000 ÷ 3125 : Remainder = 0
  • Divide 1000000 by 4000: 1000000 ÷ 4000 : Remainder = 0
  • Divide 1000000 by 5000: 1000000 ÷ 5000 : Remainder = 0
  • Divide 1000000 by 6250: 1000000 ÷ 6250 : Remainder = 0
  • Divide 1000000 by 8000: 1000000 ÷ 8000 : Remainder = 0
  • Divide 1000000 by 10000: 1000000 ÷ 10000 : Remainder = 0
  • Divide 1000000 by 12500: 1000000 ÷ 12500 : Remainder = 0
  • Divide 1000000 by 15625: 1000000 ÷ 15625 : Remainder = 0
  • Divide 1000000 by 20000: 1000000 ÷ 20000 : Remainder = 0
  • Divide 1000000 by 25000: 1000000 ÷ 25000 : Remainder = 0
  • Divide 1000000 by 31250: 1000000 ÷ 31250 : Remainder = 0
  • Divide 1000000 by 40000: 1000000 ÷ 40000 : Remainder = 0
  • Divide 1000000 by 50000: 1000000 ÷ 50000 : Remainder = 0
  • Divide 1000000 by 62500: 1000000 ÷ 62500 : Remainder = 0
  • Divide 1000000 by 100000: 1000000 ÷ 100000 : Remainder = 0
  • Divide 1000000 by 125000: 1000000 ÷ 125000 : Remainder = 0
  • Divide 1000000 by 200000: 1000000 ÷ 200000 : Remainder = 0
  • Divide 1000000 by 250000: 1000000 ÷ 250000 : Remainder = 0
  • Divide 1000000 by 500000: 1000000 ÷ 500000 : Remainder = 0
  • Divide 1000000 by 1000000: 1000000 ÷ 1000000 : Remainder = 0

Hence, Factors of 1000000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 3125, 4000, 5000, 6250, 8000, 10000, 12500, 15625, 20000, 25000, 31250, 40000, 50000, 62500, 100000, 125000, 200000, 250000, 500000, and 1000000

2. Steps to find factors of 1000000 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 1000000 using the division method, follow these steps:

  • Step 1. Start dividing 1000000 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 1000000, which is 2. Divide 1000000 by 2 to obtain the quotient (500000).
    1000000 ÷ 2 = 500000
  • Step 3. Repeat step 1 with the obtained quotient (500000).
    500000 ÷ 2 = 250000
    250000 ÷ 2 = 125000
    125000 ÷ 2 = 62500
    62500 ÷ 2 = 31250
    31250 ÷ 2 = 15625
    15625 ÷ 5 = 3125
    3125 ÷ 5 = 625
    625 ÷ 5 = 125
    125 ÷ 5 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So, the prime factorization of 1000000 is, 1000000 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1000000 as shown below:

So, the prime factorization of 1000000 is, 1000000 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 x 5.

3. Find factors of 1000000 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 1000000 would be the two numbers which, when multiplied, give 1000000 as the result.

The following table represents the calculation of factors of 1000000 in pairs:

Factor Pair Pair Factorization
1 and 1000000 1 x 1000000 = 1000000
2 and 500000 2 x 500000 = 1000000
4 and 250000 4 x 250000 = 1000000
5 and 200000 5 x 200000 = 1000000
8 and 125000 8 x 125000 = 1000000
10 and 100000 10 x 100000 = 1000000
16 and 62500 16 x 62500 = 1000000
20 and 50000 20 x 50000 = 1000000
25 and 40000 25 x 40000 = 1000000
32 and 31250 32 x 31250 = 1000000
40 and 25000 40 x 25000 = 1000000
50 and 20000 50 x 20000 = 1000000
64 and 15625 64 x 15625 = 1000000
80 and 12500 80 x 12500 = 1000000
100 and 10000 100 x 10000 = 1000000
125 and 8000 125 x 8000 = 1000000
160 and 6250 160 x 6250 = 1000000
200 and 5000 200 x 5000 = 1000000
250 and 4000 250 x 4000 = 1000000
320 and 3125 320 x 3125 = 1000000
400 and 2500 400 x 2500 = 1000000
500 and 2000 500 x 2000 = 1000000
625 and 1600 625 x 1600 = 1000000
800 and 1250 800 x 1250 = 1000000
1000 and 1000 1000 x 1000 = 1000000

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 1000000. They are called negative pair factors.

Hence, the negative pairs of 1000000 would be ( -1 , -1000000 ) , ( -2 , -500000 ) , ( -4 , -250000 ) , ( -5 , -200000 ) , ( -8 , -125000 ) , ( -10 , -100000 ) , ( -16 , -62500 ) , ( -20 , -50000 ) , ( -25 , -40000 ) , ( -32 , -31250 ) , ( -40 , -25000 ) , ( -50 , -20000 ) , ( -64 , -15625 ) , ( -80 , -12500 ) , ( -100 , -10000 ) , ( -125 , -8000 ) , ( -160 , -6250 ) , ( -200 , -5000 ) , ( -250 , -4000 ) , ( -320 , -3125 ) , ( -400 , -2500 ) , ( -500 , -2000 ) , ( -625 , -1600 ) , ( -800 , -1250 ) and ( -1000 , -1000 ) .

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. 1000000 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1000000.
  • Every number is a factor of zero (0), since 1000000 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, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 3125, 4000, 5000, 6250, 8000, 10000, 12500, 15625, 20000, 25000, 31250, 40000, 50000, 62500, 100000, 125000, 200000, 250000, 500000, 1000000 are exact divisors of 1000000.
  • Factors of 1000000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 3125, 4000, 5000, 6250, 8000, 10000, 12500, 15625, 20000, 25000, 31250, 40000, 50000, 62500, 100000, 125000, 200000, 250000, 500000, 1000000. Each factor divides 1000000 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, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 3125, 4000, 5000, 6250, 8000, 10000, 12500, 15625, 20000, 25000, 31250, 40000, 50000, 62500, 100000, 125000, 200000, 250000, 500000, 1000000 are all less than or equal to 1000000.

Frequently Asked Questions

  • What are the prime factors of 1000000?

    The factors of 1000000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 3125, 4000, 5000, 6250, 8000, 10000, 12500, 15625, 20000, 25000, 31250, 40000, 50000, 62500, 100000, 125000, 200000, 250000, 500000, 1000000.
    Prime factors of 1000000 are 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5.

  • What is the sum of all factors of 1000000?

    The sum of all factors of 1000000 is 2480437.

  • What are the pair factors of 1000000?

    Pair factors of 1000000 are (1,1000000), (2,500000), (4,250000), (5,200000), (8,125000), (10,100000), (16,62500), (20,50000), (25,40000), (32,31250), (40,25000), (50,20000), (64,15625), (80,12500), (100,10000), (125,8000), (160,6250), (200,5000), (250,4000), (320,3125), (400,2500), (500,2000), (625,1600), (800,1250), (1000,1000).

  • What two numbers make 1000000?

    Two numbers that make 1000000 are 2 and 500000.

  • What are multiples of 1000000?

    First five multiples of 1000000 are 2000000, 3000000, 4000000, 5000000.

  • Is 1000000 a perfect square?

    Yes 1000000 is a perfect square.

  • Which is greatest factor of 1000000?

    The greatest factor of 1000000 is 500000.

  • How do you factors of 1000000?

    Factors of 1000000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 3125, 4000, 5000, 6250, 8000, 10000, 12500, 15625, 20000, 25000, 31250, 40000, 50000, 62500, 100000, 125000, 200000, 250000, 500000, 1000000.

  • What are five multiples of 1000000?

    First five multiples of 1000000 are 2000000, 3000000, 4000000, 5000000, 6000000.

Examples of Factors

Can you help Rubel to find out the product of the even factors of 1000000?

Factors of 1000000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 3125, 4000, 5000, 6250, 8000, 10000, 12500, 15625, 20000, 25000, 31250, 40000, 50000, 62500, 100000, 125000, 200000, 250000, 500000, 1000000.
Even factors of 1000000 are 2, 4, 8, 10, 16, 20, 32, 40, 50, 64, 80, 100, 160, 200, 250, 320, 400, 500, 800, 1000, 1250, 1600, 2000, 2500, 4000, 5000, 6250, 8000, 10000, 12500, 20000, 25000, 31250, 40000, 50000, 62500, 100000, 125000, 200000, 250000, 500000, 1000000.
Hence, product of even factors of 1000000 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 160 x 200 x 250 x 320 x 400 x 500 x 800 x 1000 x 1250 x 1600 x 2000 x 2500 x 4000 x 5000 x 6250 x 8000 x 10000 x 12500 x 20000 x 25000 x 31250 x 40000 x 50000 x 62500 x 100000 x 125000 x 200000 x 250000 x 500000 x 1000000 = 2.0971519999999992e+132.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1000000? 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, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 3125, 4000, 5000, 6250, 8000, 10000, 12500, 15625, 20000, 25000, 31250, 40000, 50000, 62500, 100000, 125000, 200000, 250000, 500000, 1000000.
Negative factors are -1, -2, -4, -5, -8, -10, -16, -20, -25, -32, -40, -50, -64, -80, -100, -125, -160, -200, -250, -320, -400, -500, -625, -800, -1000, -1250, -1600, -2000, -2500, -3125, -4000, -5000, -6250, -8000, -10000, -12500, -15625, -20000, -25000, -31250, -40000, -50000, -62500, -100000, -125000, -200000, -250000, -500000, -1000000.

How many factors are there for 1000000?

Factors of 1000000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 3125, 4000, 5000, 6250, 8000, 10000, 12500, 15625, 20000, 25000, 31250, 40000, 50000, 62500, 100000, 125000, 200000, 250000, 500000, 1000000.
So there are in total 49 factors.

Sammy is puzzled while calculating the prime factors of 1000000. Can you help him find them?

Factors of 1000000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 3125, 4000, 5000, 6250, 8000, 10000, 12500, 15625, 20000, 25000, 31250, 40000, 50000, 62500, 100000, 125000, 200000, 250000, 500000, 1000000.
Prime factors of 1000000 are 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5

Joey wants to write all the prime factors of 1000000 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1000000 are 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5.
So in exponential form it can be written as 26 x 56.

What is prime factorization of 1000000?

Prime factorization of 1000000 is 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 x 5 = 26 x 56.

Can you help Rubel to find out the product of the even factors of 1000000?

Factors of 1000000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 3125, 4000, 5000, 6250, 8000, 10000, 12500, 15625, 20000, 25000, 31250, 40000, 50000, 62500, 100000, 125000, 200000, 250000, 500000, 1000000.
Even factors of 1000000 are 2, 4, 8, 10, 16, 20, 32, 40, 50, 64, 80, 100, 160, 200, 250, 320, 400, 500, 800, 1000, 1250, 1600, 2000, 2500, 4000, 5000, 6250, 8000, 10000, 12500, 20000, 25000, 31250, 40000, 50000, 62500, 100000, 125000, 200000, 250000, 500000, 1000000.
Hence, product of even factors of 1000000 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 160 x 200 x 250 x 320 x 400 x 500 x 800 x 1000 x 1250 x 1600 x 2000 x 2500 x 4000 x 5000 x 6250 x 8000 x 10000 x 12500 x 20000 x 25000 x 31250 x 40000 x 50000 x 62500 x 100000 x 125000 x 200000 x 250000 x 500000 x 1000000 = 2.0971519999999992e+132.