Factors of 4950 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, and 4950

How to find factors of a number

1. Steps to find factors of 4950 using Division Method

Example: Find factors of 4950

  • Divide 4950 by 1: 4950 ÷ 1 : Remainder = 0
  • Divide 4950 by 2: 4950 ÷ 2 : Remainder = 0
  • Divide 4950 by 3: 4950 ÷ 3 : Remainder = 0
  • Divide 4950 by 5: 4950 ÷ 5 : Remainder = 0
  • Divide 4950 by 6: 4950 ÷ 6 : Remainder = 0
  • Divide 4950 by 9: 4950 ÷ 9 : Remainder = 0
  • Divide 4950 by 10: 4950 ÷ 10 : Remainder = 0
  • Divide 4950 by 11: 4950 ÷ 11 : Remainder = 0
  • Divide 4950 by 15: 4950 ÷ 15 : Remainder = 0
  • Divide 4950 by 18: 4950 ÷ 18 : Remainder = 0
  • Divide 4950 by 22: 4950 ÷ 22 : Remainder = 0
  • Divide 4950 by 25: 4950 ÷ 25 : Remainder = 0
  • Divide 4950 by 30: 4950 ÷ 30 : Remainder = 0
  • Divide 4950 by 33: 4950 ÷ 33 : Remainder = 0
  • Divide 4950 by 45: 4950 ÷ 45 : Remainder = 0
  • Divide 4950 by 50: 4950 ÷ 50 : Remainder = 0
  • Divide 4950 by 55: 4950 ÷ 55 : Remainder = 0
  • Divide 4950 by 66: 4950 ÷ 66 : Remainder = 0
  • Divide 4950 by 75: 4950 ÷ 75 : Remainder = 0
  • Divide 4950 by 90: 4950 ÷ 90 : Remainder = 0
  • Divide 4950 by 99: 4950 ÷ 99 : Remainder = 0
  • Divide 4950 by 110: 4950 ÷ 110 : Remainder = 0
  • Divide 4950 by 150: 4950 ÷ 150 : Remainder = 0
  • Divide 4950 by 165: 4950 ÷ 165 : Remainder = 0
  • Divide 4950 by 198: 4950 ÷ 198 : Remainder = 0
  • Divide 4950 by 225: 4950 ÷ 225 : Remainder = 0
  • Divide 4950 by 275: 4950 ÷ 275 : Remainder = 0
  • Divide 4950 by 330: 4950 ÷ 330 : Remainder = 0
  • Divide 4950 by 450: 4950 ÷ 450 : Remainder = 0
  • Divide 4950 by 495: 4950 ÷ 495 : Remainder = 0
  • Divide 4950 by 550: 4950 ÷ 550 : Remainder = 0
  • Divide 4950 by 825: 4950 ÷ 825 : Remainder = 0
  • Divide 4950 by 990: 4950 ÷ 990 : Remainder = 0
  • Divide 4950 by 1650: 4950 ÷ 1650 : Remainder = 0
  • Divide 4950 by 2475: 4950 ÷ 2475 : Remainder = 0
  • Divide 4950 by 4950: 4950 ÷ 4950 : Remainder = 0

Hence, Factors of 4950 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, and 4950

2. Steps to find factors of 4950 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 4950 using the division method, follow these steps:

  • Step 1. Start dividing 4950 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 4950, which is 2. Divide 4950 by 2 to obtain the quotient (2475).
    4950 ÷ 2 = 2475
  • Step 3. Repeat step 1 with the obtained quotient (2475).
    2475 ÷ 3 = 825
    825 ÷ 3 = 275
    275 ÷ 5 = 55
    55 ÷ 5 = 11
    11 ÷ 11 = 1

So, the prime factorization of 4950 is, 4950 = 2 x 3 x 3 x 5 x 5 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 4950 as shown below:

So, the prime factorization of 4950 is, 4950 = 2 x 3 x 3 x 5 x 5 x 11.

3. Find factors of 4950 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 4950 would be the two numbers which, when multiplied, give 4950 as the result.

The following table represents the calculation of factors of 4950 in pairs:

Factor Pair Pair Factorization
1 and 4950 1 x 4950 = 4950
2 and 2475 2 x 2475 = 4950
3 and 1650 3 x 1650 = 4950
5 and 990 5 x 990 = 4950
6 and 825 6 x 825 = 4950
9 and 550 9 x 550 = 4950
10 and 495 10 x 495 = 4950
11 and 450 11 x 450 = 4950
15 and 330 15 x 330 = 4950
18 and 275 18 x 275 = 4950
22 and 225 22 x 225 = 4950
25 and 198 25 x 198 = 4950
30 and 165 30 x 165 = 4950
33 and 150 33 x 150 = 4950
45 and 110 45 x 110 = 4950
50 and 99 50 x 99 = 4950
55 and 90 55 x 90 = 4950
66 and 75 66 x 75 = 4950

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 4950. They are called negative pair factors.

Hence, the negative pairs of 4950 would be ( -1 , -4950 ) , ( -2 , -2475 ) , ( -3 , -1650 ) , ( -5 , -990 ) , ( -6 , -825 ) , ( -9 , -550 ) , ( -10 , -495 ) , ( -11 , -450 ) , ( -15 , -330 ) , ( -18 , -275 ) , ( -22 , -225 ) , ( -25 , -198 ) , ( -30 , -165 ) , ( -33 , -150 ) , ( -45 , -110 ) , ( -50 , -99 ) , ( -55 , -90 ) and ( -66 , -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. 4950 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, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, 4950 are exact divisors of 4950.
  • 1 is a factor of every number. Eg. 1 is a factor of 4950.
  • Every number is a factor of zero (0), since 4950 x 0 = 0.

Frequently Asked Questions

  • Which is the smallest prime factor of 4950?

    Smallest prime factor of 4950 is 2.

  • Is 4950 a perfect square?

    No 4950 is not a perfect square.

  • What are five multiples of 4950?

    First five multiples of 4950 are 9900, 14850, 19800, 24750, 29700.

  • What is prime factorization of 4950?

    Prime factorization of 4950 is 2 x 3 x 3 x 5 x 5 x 11.

  • What are factors of 4950?

    Factors of 4950 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, 4950.

  • How do you find factors of a negative number? ( eg. -4950 )?

    Factors of -4950 are -1, -2, -3, -5, -6, -9, -10, -11, -15, -18, -22, -25, -30, -33, -45, -50, -55, -66, -75, -90, -99, -110, -150, -165, -198, -225, -275, -330, -450, -495, -550, -825, -990, -1650, -2475, -4950.

  • Is 4950 a whole number?

    Yes 4950 is a whole number.

  • Which is greatest factor of 4950?

    The greatest factor of 4950 is 2475.

  • What are the prime factors of 4950?

    The factors of 4950 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, 4950.
    Prime factors of 4950 are 2, 3, 3, 5, 5, 11.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 4950. Can you help her?

Prime factors of 4950 are 2, 3, 3, 5, 5, 11.
Hence, the product of prime factors of 330.

Can you help Rubel to find out the product of the even factors of 4950?

Factors of 4950 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, 4950.
Even factors of 4950 are 2, 6, 10, 18, 22, 30, 50, 66, 90, 110, 150, 198, 330, 450, 550, 990, 1650, 4950.
Hence, product of even factors of 4950 is; 2 x 6 x 10 x 18 x 22 x 30 x 50 x 66 x 90 x 110 x 150 x 198 x 330 x 450 x 550 x 990 x 1650 x 4950 = 9.13517247483641e+35.

Joy wants to calculate mean of all the factors of 4950. Help him in finding the mean of 4950.

Factors of 4950 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, 4950.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 4950 is 1 + 2 + 3 + 5 + 6 + 9 + 10 + 11 + 15 + 18 + 22 + 25 + 30 + 33 + 45 + 50 + 55 + 66 + 75 + 90 + 99 + 110 + 150 + 165 + 198 + 225 + 275 + 330 + 450 + 495 + 550 + 825 + 990 + 1650 + 2475 + 4950 = 14508.
Hence, the mean of factors of 4950 is 14508 ÷ 36 = 403.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 4950? Help her in writing all the factors.

Positive factors are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, 4950.
Negative factors are -1, -2, -3, -5, -6, -9, -10, -11, -15, -18, -22, -25, -30, -33, -45, -50, -55, -66, -75, -90, -99, -110, -150, -165, -198, -225, -275, -330, -450, -495, -550, -825, -990, -1650, -2475, -4950.

How many factors are there for 4950?

Factors of 4950 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, 4950.
So there are in total 36 factors.

Joey wants to write all the prime factors of 4950 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 4950 are 2, 3, 3, 5, 5, 11.
So in exponential form it can be written as 2 x 32 x 52 x 11.

Kevin has been asked to write 35 factor(s) of 4950. Can you predict the answer?

35 factor(s) of 4950 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475.