Factors of 45000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 625, 750, 900, 1000, 1125, 1250, 1500, 1800, 1875, 2250, 2500, 3000, 3750, 4500, 5000, 5625, 7500, 9000, 11250, 15000, 22500, and 45000

How to find factors of a number

1. Steps to find factors of 45000 using Division Method

Example: Find factors of 45000

  • Divide 45000 by 1: 45000 ÷ 1 : Remainder = 0
  • Divide 45000 by 2: 45000 ÷ 2 : Remainder = 0
  • Divide 45000 by 3: 45000 ÷ 3 : Remainder = 0
  • Divide 45000 by 4: 45000 ÷ 4 : Remainder = 0
  • Divide 45000 by 5: 45000 ÷ 5 : Remainder = 0
  • Divide 45000 by 6: 45000 ÷ 6 : Remainder = 0
  • Divide 45000 by 8: 45000 ÷ 8 : Remainder = 0
  • Divide 45000 by 9: 45000 ÷ 9 : Remainder = 0
  • Divide 45000 by 10: 45000 ÷ 10 : Remainder = 0
  • Divide 45000 by 12: 45000 ÷ 12 : Remainder = 0
  • Divide 45000 by 15: 45000 ÷ 15 : Remainder = 0
  • Divide 45000 by 18: 45000 ÷ 18 : Remainder = 0
  • Divide 45000 by 20: 45000 ÷ 20 : Remainder = 0
  • Divide 45000 by 24: 45000 ÷ 24 : Remainder = 0
  • Divide 45000 by 25: 45000 ÷ 25 : Remainder = 0
  • Divide 45000 by 30: 45000 ÷ 30 : Remainder = 0
  • Divide 45000 by 36: 45000 ÷ 36 : Remainder = 0
  • Divide 45000 by 40: 45000 ÷ 40 : Remainder = 0
  • Divide 45000 by 45: 45000 ÷ 45 : Remainder = 0
  • Divide 45000 by 50: 45000 ÷ 50 : Remainder = 0
  • Divide 45000 by 60: 45000 ÷ 60 : Remainder = 0
  • Divide 45000 by 72: 45000 ÷ 72 : Remainder = 0
  • Divide 45000 by 75: 45000 ÷ 75 : Remainder = 0
  • Divide 45000 by 90: 45000 ÷ 90 : Remainder = 0
  • Divide 45000 by 100: 45000 ÷ 100 : Remainder = 0
  • Divide 45000 by 120: 45000 ÷ 120 : Remainder = 0
  • Divide 45000 by 125: 45000 ÷ 125 : Remainder = 0
  • Divide 45000 by 150: 45000 ÷ 150 : Remainder = 0
  • Divide 45000 by 180: 45000 ÷ 180 : Remainder = 0
  • Divide 45000 by 200: 45000 ÷ 200 : Remainder = 0
  • Divide 45000 by 225: 45000 ÷ 225 : Remainder = 0
  • Divide 45000 by 250: 45000 ÷ 250 : Remainder = 0
  • Divide 45000 by 300: 45000 ÷ 300 : Remainder = 0
  • Divide 45000 by 360: 45000 ÷ 360 : Remainder = 0
  • Divide 45000 by 375: 45000 ÷ 375 : Remainder = 0
  • Divide 45000 by 450: 45000 ÷ 450 : Remainder = 0
  • Divide 45000 by 500: 45000 ÷ 500 : Remainder = 0
  • Divide 45000 by 600: 45000 ÷ 600 : Remainder = 0
  • Divide 45000 by 625: 45000 ÷ 625 : Remainder = 0
  • Divide 45000 by 750: 45000 ÷ 750 : Remainder = 0
  • Divide 45000 by 900: 45000 ÷ 900 : Remainder = 0
  • Divide 45000 by 1000: 45000 ÷ 1000 : Remainder = 0
  • Divide 45000 by 1125: 45000 ÷ 1125 : Remainder = 0
  • Divide 45000 by 1250: 45000 ÷ 1250 : Remainder = 0
  • Divide 45000 by 1500: 45000 ÷ 1500 : Remainder = 0
  • Divide 45000 by 1800: 45000 ÷ 1800 : Remainder = 0
  • Divide 45000 by 1875: 45000 ÷ 1875 : Remainder = 0
  • Divide 45000 by 2250: 45000 ÷ 2250 : Remainder = 0
  • Divide 45000 by 2500: 45000 ÷ 2500 : Remainder = 0
  • Divide 45000 by 3000: 45000 ÷ 3000 : Remainder = 0
  • Divide 45000 by 3750: 45000 ÷ 3750 : Remainder = 0
  • Divide 45000 by 4500: 45000 ÷ 4500 : Remainder = 0
  • Divide 45000 by 5000: 45000 ÷ 5000 : Remainder = 0
  • Divide 45000 by 5625: 45000 ÷ 5625 : Remainder = 0
  • Divide 45000 by 7500: 45000 ÷ 7500 : Remainder = 0
  • Divide 45000 by 9000: 45000 ÷ 9000 : Remainder = 0
  • Divide 45000 by 11250: 45000 ÷ 11250 : Remainder = 0
  • Divide 45000 by 15000: 45000 ÷ 15000 : Remainder = 0
  • Divide 45000 by 22500: 45000 ÷ 22500 : Remainder = 0
  • Divide 45000 by 45000: 45000 ÷ 45000 : Remainder = 0

Hence, Factors of 45000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 625, 750, 900, 1000, 1125, 1250, 1500, 1800, 1875, 2250, 2500, 3000, 3750, 4500, 5000, 5625, 7500, 9000, 11250, 15000, 22500, and 45000

2. Steps to find factors of 45000 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 45000 using the division method, follow these steps:

  • Step 1. Start dividing 45000 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 45000, which is 2. Divide 45000 by 2 to obtain the quotient (22500).
    45000 ÷ 2 = 22500
  • Step 3. Repeat step 1 with the obtained quotient (22500).
    22500 ÷ 2 = 11250
    11250 ÷ 2 = 5625
    5625 ÷ 3 = 1875
    1875 ÷ 3 = 625
    625 ÷ 5 = 125
    125 ÷ 5 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So, the prime factorization of 45000 is, 45000 = 2 x 2 x 2 x 3 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 45000 as shown below:

So, the prime factorization of 45000 is, 45000 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5.

3. Find factors of 45000 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 45000 would be the two numbers which, when multiplied, give 45000 as the result.

The following table represents the calculation of factors of 45000 in pairs:

Factor Pair Pair Factorization
1 and 45000 1 x 45000 = 45000
2 and 22500 2 x 22500 = 45000
3 and 15000 3 x 15000 = 45000
4 and 11250 4 x 11250 = 45000
5 and 9000 5 x 9000 = 45000
6 and 7500 6 x 7500 = 45000
8 and 5625 8 x 5625 = 45000
9 and 5000 9 x 5000 = 45000
10 and 4500 10 x 4500 = 45000
12 and 3750 12 x 3750 = 45000
15 and 3000 15 x 3000 = 45000
18 and 2500 18 x 2500 = 45000
20 and 2250 20 x 2250 = 45000
24 and 1875 24 x 1875 = 45000
25 and 1800 25 x 1800 = 45000
30 and 1500 30 x 1500 = 45000
36 and 1250 36 x 1250 = 45000
40 and 1125 40 x 1125 = 45000
45 and 1000 45 x 1000 = 45000
50 and 900 50 x 900 = 45000
60 and 750 60 x 750 = 45000
72 and 625 72 x 625 = 45000
75 and 600 75 x 600 = 45000
90 and 500 90 x 500 = 45000
100 and 450 100 x 450 = 45000
120 and 375 120 x 375 = 45000
125 and 360 125 x 360 = 45000
150 and 300 150 x 300 = 45000
180 and 250 180 x 250 = 45000
200 and 225 200 x 225 = 45000

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 45000. They are called negative pair factors.

Hence, the negative pairs of 45000 would be ( -1 , -45000 ) , ( -2 , -22500 ) , ( -3 , -15000 ) , ( -4 , -11250 ) , ( -5 , -9000 ) , ( -6 , -7500 ) , ( -8 , -5625 ) , ( -9 , -5000 ) , ( -10 , -4500 ) , ( -12 , -3750 ) , ( -15 , -3000 ) , ( -18 , -2500 ) , ( -20 , -2250 ) , ( -24 , -1875 ) , ( -25 , -1800 ) , ( -30 , -1500 ) , ( -36 , -1250 ) , ( -40 , -1125 ) , ( -45 , -1000 ) , ( -50 , -900 ) , ( -60 , -750 ) , ( -72 , -625 ) , ( -75 , -600 ) , ( -90 , -500 ) , ( -100 , -450 ) , ( -120 , -375 ) , ( -125 , -360 ) , ( -150 , -300 ) , ( -180 , -250 ) and ( -200 , -225 ) .

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. 45000 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 45000.
  • Every number is a factor of zero (0), since 45000 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, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 625, 750, 900, 1000, 1125, 1250, 1500, 1800, 1875, 2250, 2500, 3000, 3750, 4500, 5000, 5625, 7500, 9000, 11250, 15000, 22500, 45000 are exact divisors of 45000.
  • Factors of 45000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 625, 750, 900, 1000, 1125, 1250, 1500, 1800, 1875, 2250, 2500, 3000, 3750, 4500, 5000, 5625, 7500, 9000, 11250, 15000, 22500, 45000. Each factor divides 45000 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, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 625, 750, 900, 1000, 1125, 1250, 1500, 1800, 1875, 2250, 2500, 3000, 3750, 4500, 5000, 5625, 7500, 9000, 11250, 15000, 22500, 45000 are all less than or equal to 45000.

Frequently Asked Questions

  • Which is the smallest prime factor of 45000?

    Smallest prime factor of 45000 is 2.

  • Is 45000 a perfect square?

    No 45000 is not a perfect square.

  • What are five multiples of 45000?

    First five multiples of 45000 are 90000, 135000, 180000, 225000, 270000.

  • What is prime factorization of 45000?

    Prime factorization of 45000 is 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5.

  • What are factors of 45000?

    Factors of 45000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 625, 750, 900, 1000, 1125, 1250, 1500, 1800, 1875, 2250, 2500, 3000, 3750, 4500, 5000, 5625, 7500, 9000, 11250, 15000, 22500, 45000.

  • How do you find factors of a negative number? ( eg. -45000 )?

    Factors of -45000 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -18, -20, -24, -25, -30, -36, -40, -45, -50, -60, -72, -75, -90, -100, -120, -125, -150, -180, -200, -225, -250, -300, -360, -375, -450, -500, -600, -625, -750, -900, -1000, -1125, -1250, -1500, -1800, -1875, -2250, -2500, -3000, -3750, -4500, -5000, -5625, -7500, -9000, -11250, -15000, -22500, -45000.

  • Is 45000 a whole number?

    Yes 45000 is a whole number.

  • Which is greatest factor of 45000?

    The greatest factor of 45000 is 22500.

  • What are the prime factors of 45000?

    The factors of 45000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 625, 750, 900, 1000, 1125, 1250, 1500, 1800, 1875, 2250, 2500, 3000, 3750, 4500, 5000, 5625, 7500, 9000, 11250, 15000, 22500, 45000.
    Prime factors of 45000 are 2, 2, 2, 3, 3, 5, 5, 5, 5.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 45000. Can you help her?

Prime factors of 45000 are 2, 2, 2, 3, 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 45000?

Factors of 45000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 625, 750, 900, 1000, 1125, 1250, 1500, 1800, 1875, 2250, 2500, 3000, 3750, 4500, 5000, 5625, 7500, 9000, 11250, 15000, 22500, 45000.
Even factors of 45000 are 2, 4, 6, 8, 10, 12, 18, 20, 24, 30, 36, 40, 50, 60, 72, 90, 100, 120, 150, 180, 200, 250, 300, 360, 450, 500, 600, 750, 900, 1000, 1250, 1500, 1800, 2250, 2500, 3000, 3750, 4500, 5000, 7500, 9000, 11250, 15000, 22500, 45000.
Hence, product of even factors of 45000 is; 2 x 4 x 6 x 8 x 10 x 12 x 18 x 20 x 24 x 30 x 36 x 40 x 50 x 60 x 72 x 90 x 100 x 120 x 150 x 180 x 200 x 250 x 300 x 360 x 450 x 500 x 600 x 750 x 900 x 1000 x 1250 x 1500 x 1800 x 2250 x 2500 x 3000 x 3750 x 4500 x 5000 x 7500 x 9000 x 11250 x 15000 x 22500 x 45000 = 2.9543127065508333e+111.

Joy wants to calculate mean of all the factors of 45000. Help him in finding the mean of 45000.

Factors of 45000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 625, 750, 900, 1000, 1125, 1250, 1500, 1800, 1875, 2250, 2500, 3000, 3750, 4500, 5000, 5625, 7500, 9000, 11250, 15000, 22500, 45000.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 45000 is 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 25 + 30 + 36 + 40 + 45 + 50 + 60 + 72 + 75 + 90 + 100 + 120 + 125 + 150 + 180 + 200 + 225 + 250 + 300 + 360 + 375 + 450 + 500 + 600 + 625 + 750 + 900 + 1000 + 1125 + 1250 + 1500 + 1800 + 1875 + 2250 + 2500 + 3000 + 3750 + 4500 + 5000 + 5625 + 7500 + 9000 + 11250 + 15000 + 22500 + 45000 = 152295.
Hence, the mean of factors of 45000 is 152295 ÷ 60 = 2538.25.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 45000? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 625, 750, 900, 1000, 1125, 1250, 1500, 1800, 1875, 2250, 2500, 3000, 3750, 4500, 5000, 5625, 7500, 9000, 11250, 15000, 22500, 45000.
Negative factors are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -18, -20, -24, -25, -30, -36, -40, -45, -50, -60, -72, -75, -90, -100, -120, -125, -150, -180, -200, -225, -250, -300, -360, -375, -450, -500, -600, -625, -750, -900, -1000, -1125, -1250, -1500, -1800, -1875, -2250, -2500, -3000, -3750, -4500, -5000, -5625, -7500, -9000, -11250, -15000, -22500, -45000.

How many factors are there for 45000?

Factors of 45000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 625, 750, 900, 1000, 1125, 1250, 1500, 1800, 1875, 2250, 2500, 3000, 3750, 4500, 5000, 5625, 7500, 9000, 11250, 15000, 22500, 45000.
So there are in total 60 factors.

Joey wants to write all the prime factors of 45000 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 45000 are 2, 2, 2, 3, 3, 5, 5, 5, 5.
So in exponential form it can be written as 23 x 32 x 54.

Kevin has been asked to write 59 factor(s) of 45000. Can you predict the answer?

59 factor(s) of 45000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 625, 750, 900, 1000, 1125, 1250, 1500, 1800, 1875, 2250, 2500, 3000, 3750, 4500, 5000, 5625, 7500, 9000, 11250, 15000, 22500.