Factors of 60000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, and 60000

How to find factors of a number

1. Steps to find factors of 60000 using Division Method

Example: Find factors of 60000

  • Divide 60000 by 1: 60000 ÷ 1 : Remainder = 0
  • Divide 60000 by 2: 60000 ÷ 2 : Remainder = 0
  • Divide 60000 by 3: 60000 ÷ 3 : Remainder = 0
  • Divide 60000 by 4: 60000 ÷ 4 : Remainder = 0
  • Divide 60000 by 5: 60000 ÷ 5 : Remainder = 0
  • Divide 60000 by 6: 60000 ÷ 6 : Remainder = 0
  • Divide 60000 by 8: 60000 ÷ 8 : Remainder = 0
  • Divide 60000 by 10: 60000 ÷ 10 : Remainder = 0
  • Divide 60000 by 12: 60000 ÷ 12 : Remainder = 0
  • Divide 60000 by 15: 60000 ÷ 15 : Remainder = 0
  • Divide 60000 by 16: 60000 ÷ 16 : Remainder = 0
  • Divide 60000 by 20: 60000 ÷ 20 : Remainder = 0
  • Divide 60000 by 24: 60000 ÷ 24 : Remainder = 0
  • Divide 60000 by 25: 60000 ÷ 25 : Remainder = 0
  • Divide 60000 by 30: 60000 ÷ 30 : Remainder = 0
  • Divide 60000 by 32: 60000 ÷ 32 : Remainder = 0
  • Divide 60000 by 40: 60000 ÷ 40 : Remainder = 0
  • Divide 60000 by 48: 60000 ÷ 48 : Remainder = 0
  • Divide 60000 by 50: 60000 ÷ 50 : Remainder = 0
  • Divide 60000 by 60: 60000 ÷ 60 : Remainder = 0
  • Divide 60000 by 75: 60000 ÷ 75 : Remainder = 0
  • Divide 60000 by 80: 60000 ÷ 80 : Remainder = 0
  • Divide 60000 by 96: 60000 ÷ 96 : Remainder = 0
  • Divide 60000 by 100: 60000 ÷ 100 : Remainder = 0
  • Divide 60000 by 120: 60000 ÷ 120 : Remainder = 0
  • Divide 60000 by 125: 60000 ÷ 125 : Remainder = 0
  • Divide 60000 by 150: 60000 ÷ 150 : Remainder = 0
  • Divide 60000 by 160: 60000 ÷ 160 : Remainder = 0
  • Divide 60000 by 200: 60000 ÷ 200 : Remainder = 0
  • Divide 60000 by 240: 60000 ÷ 240 : Remainder = 0
  • Divide 60000 by 250: 60000 ÷ 250 : Remainder = 0
  • Divide 60000 by 300: 60000 ÷ 300 : Remainder = 0
  • Divide 60000 by 375: 60000 ÷ 375 : Remainder = 0
  • Divide 60000 by 400: 60000 ÷ 400 : Remainder = 0
  • Divide 60000 by 480: 60000 ÷ 480 : Remainder = 0
  • Divide 60000 by 500: 60000 ÷ 500 : Remainder = 0
  • Divide 60000 by 600: 60000 ÷ 600 : Remainder = 0
  • Divide 60000 by 625: 60000 ÷ 625 : Remainder = 0
  • Divide 60000 by 750: 60000 ÷ 750 : Remainder = 0
  • Divide 60000 by 800: 60000 ÷ 800 : Remainder = 0
  • Divide 60000 by 1000: 60000 ÷ 1000 : Remainder = 0
  • Divide 60000 by 1200: 60000 ÷ 1200 : Remainder = 0
  • Divide 60000 by 1250: 60000 ÷ 1250 : Remainder = 0
  • Divide 60000 by 1500: 60000 ÷ 1500 : Remainder = 0
  • Divide 60000 by 1875: 60000 ÷ 1875 : Remainder = 0
  • Divide 60000 by 2000: 60000 ÷ 2000 : Remainder = 0
  • Divide 60000 by 2400: 60000 ÷ 2400 : Remainder = 0
  • Divide 60000 by 2500: 60000 ÷ 2500 : Remainder = 0
  • Divide 60000 by 3000: 60000 ÷ 3000 : Remainder = 0
  • Divide 60000 by 3750: 60000 ÷ 3750 : Remainder = 0
  • Divide 60000 by 4000: 60000 ÷ 4000 : Remainder = 0
  • Divide 60000 by 5000: 60000 ÷ 5000 : Remainder = 0
  • Divide 60000 by 6000: 60000 ÷ 6000 : Remainder = 0
  • Divide 60000 by 7500: 60000 ÷ 7500 : Remainder = 0
  • Divide 60000 by 10000: 60000 ÷ 10000 : Remainder = 0
  • Divide 60000 by 12000: 60000 ÷ 12000 : Remainder = 0
  • Divide 60000 by 15000: 60000 ÷ 15000 : Remainder = 0
  • Divide 60000 by 20000: 60000 ÷ 20000 : Remainder = 0
  • Divide 60000 by 30000: 60000 ÷ 30000 : Remainder = 0
  • Divide 60000 by 60000: 60000 ÷ 60000 : Remainder = 0

Hence, Factors of 60000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, and 60000

2. Steps to find factors of 60000 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 60000 using the division method, follow these steps:

  • Step 1. Start dividing 60000 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 60000, which is 2. Divide 60000 by 2 to obtain the quotient (30000).
    60000 ÷ 2 = 30000
  • Step 3. Repeat step 1 with the obtained quotient (30000).
    30000 ÷ 2 = 15000
    15000 ÷ 2 = 7500
    7500 ÷ 2 = 3750
    3750 ÷ 2 = 1875
    1875 ÷ 3 = 625
    625 ÷ 5 = 125
    125 ÷ 5 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So, the prime factorization of 60000 is, 60000 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 60000 as shown below:

So, the prime factorization of 60000 is, 60000 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5.

3. Find factors of 60000 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 60000 would be the two numbers which, when multiplied, give 60000 as the result.

The following table represents the calculation of factors of 60000 in pairs:

Factor Pair Pair Factorization
1 and 60000 1 x 60000 = 60000
2 and 30000 2 x 30000 = 60000
3 and 20000 3 x 20000 = 60000
4 and 15000 4 x 15000 = 60000
5 and 12000 5 x 12000 = 60000
6 and 10000 6 x 10000 = 60000
8 and 7500 8 x 7500 = 60000
10 and 6000 10 x 6000 = 60000
12 and 5000 12 x 5000 = 60000
15 and 4000 15 x 4000 = 60000
16 and 3750 16 x 3750 = 60000
20 and 3000 20 x 3000 = 60000
24 and 2500 24 x 2500 = 60000
25 and 2400 25 x 2400 = 60000
30 and 2000 30 x 2000 = 60000
32 and 1875 32 x 1875 = 60000
40 and 1500 40 x 1500 = 60000
48 and 1250 48 x 1250 = 60000
50 and 1200 50 x 1200 = 60000
60 and 1000 60 x 1000 = 60000
75 and 800 75 x 800 = 60000
80 and 750 80 x 750 = 60000
96 and 625 96 x 625 = 60000
100 and 600 100 x 600 = 60000
120 and 500 120 x 500 = 60000
125 and 480 125 x 480 = 60000
150 and 400 150 x 400 = 60000
160 and 375 160 x 375 = 60000
200 and 300 200 x 300 = 60000
240 and 250 240 x 250 = 60000

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 60000. They are called negative pair factors.

Hence, the negative pairs of 60000 would be ( -1 , -60000 ) , ( -2 , -30000 ) , ( -3 , -20000 ) , ( -4 , -15000 ) , ( -5 , -12000 ) , ( -6 , -10000 ) , ( -8 , -7500 ) , ( -10 , -6000 ) , ( -12 , -5000 ) , ( -15 , -4000 ) , ( -16 , -3750 ) , ( -20 , -3000 ) , ( -24 , -2500 ) , ( -25 , -2400 ) , ( -30 , -2000 ) , ( -32 , -1875 ) , ( -40 , -1500 ) , ( -48 , -1250 ) , ( -50 , -1200 ) , ( -60 , -1000 ) , ( -75 , -800 ) , ( -80 , -750 ) , ( -96 , -625 ) , ( -100 , -600 ) , ( -120 , -500 ) , ( -125 , -480 ) , ( -150 , -400 ) , ( -160 , -375 ) , ( -200 , -300 ) and ( -240 , -250 ) .

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. 60000 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 60000.
  • Every number is a factor of zero (0), since 60000 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, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, 60000 are exact divisors of 60000.
  • Factors of 60000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, 60000. Each factor divides 60000 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, 60000 are all less than or equal to 60000.

Frequently Asked Questions

  • How do you find factors of a negative number? ( eg. -60000 )?

    Factors of -60000 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -25, -30, -32, -40, -48, -50, -60, -75, -80, -96, -100, -120, -125, -150, -160, -200, -240, -250, -300, -375, -400, -480, -500, -600, -625, -750, -800, -1000, -1200, -1250, -1500, -1875, -2000, -2400, -2500, -3000, -3750, -4000, -5000, -6000, -7500, -10000, -12000, -15000, -20000, -30000, -60000.

  • What is the sum of all factors of 60000?

    The sum of all factors of 60000 is 196812.

  • What is prime factorization of 60000?

    Prime factorization of 60000 is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5.

  • What are the pair factors of 60000?

    Pair factors of 60000 are (1,60000), (2,30000), (3,20000), (4,15000), (5,12000), (6,10000), (8,7500), (10,6000), (12,5000), (15,4000), (16,3750), (20,3000), (24,2500), (25,2400), (30,2000), (32,1875), (40,1500), (48,1250), (50,1200), (60,1000), (75,800), (80,750), (96,625), (100,600), (120,500), (125,480), (150,400), (160,375), (200,300), (240,250).

  • What are six multiples of 60000?

    First five multiples of 60000 are 120000, 180000, 240000, 300000, 360000, 420000.

  • Is 60000 a whole number?

    Yes 60000 is a whole number.

  • Which is the smallest prime factor of 60000?

    Smallest prime factor of 60000 is 2.

  • What are five multiples of 60000?

    First five multiples of 60000 are 120000, 180000, 240000, 300000, 360000.

  • Write all factors of 60000?

    Factors of 60000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, 60000.

Examples of Factors

Joey wants to write all the prime factors of 60000 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 60000 are 2, 2, 2, 2, 2, 3, 5, 5, 5, 5.
So in exponential form it can be written as 25 x 3 x 54.

How many factors are there for 60000?

Factors of 60000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, 60000.
So there are in total 60 factors.

Kevin has been asked to write 59 factor(s) of 60000. Can you predict the answer?

59 factor(s) of 60000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000.

Sammy is puzzled while calculating the prime factors of 60000. Can you help him find them?

Factors of 60000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, 60000.
Prime factors of 60000 are 2, 2, 2, 2, 2, 3, 5, 5, 5, 5

What is prime factorization of 60000?

Prime factorization of 60000 is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 = 25 x 3 x 54.

Ariel has been assigned the task to find the product of all the prime factors of 60000. Can you help her?

Prime factors of 60000 are 2, 2, 2, 2, 2, 3, 5, 5, 5, 5.
Hence, the product of prime factors of 30.

Can you help Rubel to find out the product of the even factors of 60000?

Factors of 60000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, 60000.
Even factors of 60000 are 2, 4, 6, 8, 10, 12, 16, 20, 24, 30, 32, 40, 48, 50, 60, 80, 96, 100, 120, 150, 160, 200, 240, 250, 300, 400, 480, 500, 600, 750, 800, 1000, 1200, 1250, 1500, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, 60000.
Hence, product of even factors of 60000 is; 2 x 4 x 6 x 8 x 10 x 12 x 16 x 20 x 24 x 30 x 32 x 40 x 48 x 50 x 60 x 80 x 96 x 100 x 120 x 150 x 160 x 200 x 240 x 250 x 300 x 400 x 480 x 500 x 600 x 750 x 800 x 1000 x 1200 x 1250 x 1500 x 2000 x 2400 x 2500 x 3000 x 3750 x 4000 x 5000 x 6000 x 7500 x 10000 x 12000 x 15000 x 20000 x 30000 x 60000 = 9.5396216644069e+126.