Factors of 4050 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, and 4050

How to find factors of a number

1. Steps to find factors of 4050 using Division Method

Example: Find factors of 4050

  • Divide 4050 by 1: 4050 ÷ 1 : Remainder = 0
  • Divide 4050 by 2: 4050 ÷ 2 : Remainder = 0
  • Divide 4050 by 3: 4050 ÷ 3 : Remainder = 0
  • Divide 4050 by 5: 4050 ÷ 5 : Remainder = 0
  • Divide 4050 by 6: 4050 ÷ 6 : Remainder = 0
  • Divide 4050 by 9: 4050 ÷ 9 : Remainder = 0
  • Divide 4050 by 10: 4050 ÷ 10 : Remainder = 0
  • Divide 4050 by 15: 4050 ÷ 15 : Remainder = 0
  • Divide 4050 by 18: 4050 ÷ 18 : Remainder = 0
  • Divide 4050 by 25: 4050 ÷ 25 : Remainder = 0
  • Divide 4050 by 27: 4050 ÷ 27 : Remainder = 0
  • Divide 4050 by 30: 4050 ÷ 30 : Remainder = 0
  • Divide 4050 by 45: 4050 ÷ 45 : Remainder = 0
  • Divide 4050 by 50: 4050 ÷ 50 : Remainder = 0
  • Divide 4050 by 54: 4050 ÷ 54 : Remainder = 0
  • Divide 4050 by 75: 4050 ÷ 75 : Remainder = 0
  • Divide 4050 by 81: 4050 ÷ 81 : Remainder = 0
  • Divide 4050 by 90: 4050 ÷ 90 : Remainder = 0
  • Divide 4050 by 135: 4050 ÷ 135 : Remainder = 0
  • Divide 4050 by 150: 4050 ÷ 150 : Remainder = 0
  • Divide 4050 by 162: 4050 ÷ 162 : Remainder = 0
  • Divide 4050 by 225: 4050 ÷ 225 : Remainder = 0
  • Divide 4050 by 270: 4050 ÷ 270 : Remainder = 0
  • Divide 4050 by 405: 4050 ÷ 405 : Remainder = 0
  • Divide 4050 by 450: 4050 ÷ 450 : Remainder = 0
  • Divide 4050 by 675: 4050 ÷ 675 : Remainder = 0
  • Divide 4050 by 810: 4050 ÷ 810 : Remainder = 0
  • Divide 4050 by 1350: 4050 ÷ 1350 : Remainder = 0
  • Divide 4050 by 2025: 4050 ÷ 2025 : Remainder = 0
  • Divide 4050 by 4050: 4050 ÷ 4050 : Remainder = 0

Hence, Factors of 4050 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, and 4050

2. Steps to find factors of 4050 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 4050 using the division method, follow these steps:

  • Step 1. Start dividing 4050 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 4050, which is 2. Divide 4050 by 2 to obtain the quotient (2025).
    4050 ÷ 2 = 2025
  • Step 3. Repeat step 1 with the obtained quotient (2025).
    2025 ÷ 3 = 675
    675 ÷ 3 = 225
    225 ÷ 3 = 75
    75 ÷ 3 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So, the prime factorization of 4050 is, 4050 = 2 x 3 x 3 x 3 x 3 x 5 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 4050 as shown below:

So, the prime factorization of 4050 is, 4050 = 2 x 3 x 3 x 3 x 3 x 5 x 5.

3. Find factors of 4050 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 4050 would be the two numbers which, when multiplied, give 4050 as the result.

The following table represents the calculation of factors of 4050 in pairs:

Factor Pair Pair Factorization
1 and 4050 1 x 4050 = 4050
2 and 2025 2 x 2025 = 4050
3 and 1350 3 x 1350 = 4050
5 and 810 5 x 810 = 4050
6 and 675 6 x 675 = 4050
9 and 450 9 x 450 = 4050
10 and 405 10 x 405 = 4050
15 and 270 15 x 270 = 4050
18 and 225 18 x 225 = 4050
25 and 162 25 x 162 = 4050
27 and 150 27 x 150 = 4050
30 and 135 30 x 135 = 4050
45 and 90 45 x 90 = 4050
50 and 81 50 x 81 = 4050
54 and 75 54 x 75 = 4050

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 4050. They are called negative pair factors.

Hence, the negative pairs of 4050 would be ( -1 , -4050 ) , ( -2 , -2025 ) , ( -3 , -1350 ) , ( -5 , -810 ) , ( -6 , -675 ) , ( -9 , -450 ) , ( -10 , -405 ) , ( -15 , -270 ) , ( -18 , -225 ) , ( -25 , -162 ) , ( -27 , -150 ) , ( -30 , -135 ) , ( -45 , -90 ) , ( -50 , -81 ) and ( -54 , -75 ) .

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. 4050 is a factor of itself.
  • 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, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050 are exact divisors of 4050.
  • 1 is a factor of every number. Eg. 1 is a factor of 4050.
  • Every number is a factor of zero (0), since 4050 x 0 = 0.

Frequently Asked Questions

  • Which is the smallest prime factor of 4050?

    Smallest prime factor of 4050 is 2.

  • Is 4050 a perfect square?

    No 4050 is not a perfect square.

  • What are five multiples of 4050?

    First five multiples of 4050 are 8100, 12150, 16200, 20250, 24300.

  • What is prime factorization of 4050?

    Prime factorization of 4050 is 2 x 3 x 3 x 3 x 3 x 5 x 5.

  • What are factors of 4050?

    Factors of 4050 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050.

  • How do you find factors of a negative number? ( eg. -4050 )?

    Factors of -4050 are -1, -2, -3, -5, -6, -9, -10, -15, -18, -25, -27, -30, -45, -50, -54, -75, -81, -90, -135, -150, -162, -225, -270, -405, -450, -675, -810, -1350, -2025, -4050.

  • Is 4050 a whole number?

    Yes 4050 is a whole number.

  • Which is greatest factor of 4050?

    The greatest factor of 4050 is 2025.

  • What are the prime factors of 4050?

    The factors of 4050 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050.
    Prime factors of 4050 are 2, 3, 3, 3, 3, 5, 5.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 4050. Can you help her?

Prime factors of 4050 are 2, 3, 3, 3, 3, 5, 5.
Hence, the product of prime factors of 30.

Can you help Rubel to find out the product of the even factors of 4050?

Factors of 4050 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050.
Even factors of 4050 are 2, 6, 10, 18, 30, 50, 54, 90, 150, 162, 270, 450, 810, 1350, 4050.
Hence, product of even factors of 4050 is; 2 x 6 x 10 x 18 x 30 x 50 x 54 x 90 x 150 x 162 x 270 x 450 x 810 x 1350 x 4050 = 2.05891132094649e+29.

Joy wants to calculate mean of all the factors of 4050. Help him in finding the mean of 4050.

Factors of 4050 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 4050 is 1 + 2 + 3 + 5 + 6 + 9 + 10 + 15 + 18 + 25 + 27 + 30 + 45 + 50 + 54 + 75 + 81 + 90 + 135 + 150 + 162 + 225 + 270 + 405 + 450 + 675 + 810 + 1350 + 2025 + 4050 = 11253.
Hence, the mean of factors of 4050 is 11253 ÷ 30 = 375.10.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 4050? Help her in writing all the factors.

Positive factors are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050.
Negative factors are -1, -2, -3, -5, -6, -9, -10, -15, -18, -25, -27, -30, -45, -50, -54, -75, -81, -90, -135, -150, -162, -225, -270, -405, -450, -675, -810, -1350, -2025, -4050.

How many factors are there for 4050?

Factors of 4050 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050.
So there are in total 30 factors.

Joey wants to write all the prime factors of 4050 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 4050 are 2, 3, 3, 3, 3, 5, 5.
So in exponential form it can be written as 2 x 34 x 52.

Kevin has been asked to write 29 factor(s) of 4050. Can you predict the answer?

29 factor(s) of 4050 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025.