Factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, and 4860

How to find factors of a number

1. Steps to find factors of 4860 using Division Method

Example: Find factors of 4860

  • Divide 4860 by 1: 4860 ÷ 1 : Remainder = 0
  • Divide 4860 by 2: 4860 ÷ 2 : Remainder = 0
  • Divide 4860 by 3: 4860 ÷ 3 : Remainder = 0
  • Divide 4860 by 4: 4860 ÷ 4 : Remainder = 0
  • Divide 4860 by 5: 4860 ÷ 5 : Remainder = 0
  • Divide 4860 by 6: 4860 ÷ 6 : Remainder = 0
  • Divide 4860 by 9: 4860 ÷ 9 : Remainder = 0
  • Divide 4860 by 10: 4860 ÷ 10 : Remainder = 0
  • Divide 4860 by 12: 4860 ÷ 12 : Remainder = 0
  • Divide 4860 by 15: 4860 ÷ 15 : Remainder = 0
  • Divide 4860 by 18: 4860 ÷ 18 : Remainder = 0
  • Divide 4860 by 20: 4860 ÷ 20 : Remainder = 0
  • Divide 4860 by 27: 4860 ÷ 27 : Remainder = 0
  • Divide 4860 by 30: 4860 ÷ 30 : Remainder = 0
  • Divide 4860 by 36: 4860 ÷ 36 : Remainder = 0
  • Divide 4860 by 45: 4860 ÷ 45 : Remainder = 0
  • Divide 4860 by 54: 4860 ÷ 54 : Remainder = 0
  • Divide 4860 by 60: 4860 ÷ 60 : Remainder = 0
  • Divide 4860 by 81: 4860 ÷ 81 : Remainder = 0
  • Divide 4860 by 90: 4860 ÷ 90 : Remainder = 0
  • Divide 4860 by 108: 4860 ÷ 108 : Remainder = 0
  • Divide 4860 by 135: 4860 ÷ 135 : Remainder = 0
  • Divide 4860 by 162: 4860 ÷ 162 : Remainder = 0
  • Divide 4860 by 180: 4860 ÷ 180 : Remainder = 0
  • Divide 4860 by 243: 4860 ÷ 243 : Remainder = 0
  • Divide 4860 by 270: 4860 ÷ 270 : Remainder = 0
  • Divide 4860 by 324: 4860 ÷ 324 : Remainder = 0
  • Divide 4860 by 405: 4860 ÷ 405 : Remainder = 0
  • Divide 4860 by 486: 4860 ÷ 486 : Remainder = 0
  • Divide 4860 by 540: 4860 ÷ 540 : Remainder = 0
  • Divide 4860 by 810: 4860 ÷ 810 : Remainder = 0
  • Divide 4860 by 972: 4860 ÷ 972 : Remainder = 0
  • Divide 4860 by 1215: 4860 ÷ 1215 : Remainder = 0
  • Divide 4860 by 1620: 4860 ÷ 1620 : Remainder = 0
  • Divide 4860 by 2430: 4860 ÷ 2430 : Remainder = 0
  • Divide 4860 by 4860: 4860 ÷ 4860 : Remainder = 0

Hence, Factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, and 4860

2. Steps to find factors of 4860 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 4860 using the division method, follow these steps:

  • Step 1. Start dividing 4860 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 4860, which is 2. Divide 4860 by 2 to obtain the quotient (2430).
    4860 ÷ 2 = 2430
  • Step 3. Repeat step 1 with the obtained quotient (2430).
    2430 ÷ 2 = 1215
    1215 ÷ 3 = 405
    405 ÷ 3 = 135
    135 ÷ 3 = 45
    45 ÷ 3 = 15
    15 ÷ 3 = 5
    5 ÷ 5 = 1

So, the prime factorization of 4860 is, 4860 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 4860 as shown below:

So, the prime factorization of 4860 is, 4860 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5.

3. Find factors of 4860 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 4860 would be the two numbers which, when multiplied, give 4860 as the result.

The following table represents the calculation of factors of 4860 in pairs:

Factor Pair Pair Factorization
1 and 4860 1 x 4860 = 4860
2 and 2430 2 x 2430 = 4860
3 and 1620 3 x 1620 = 4860
4 and 1215 4 x 1215 = 4860
5 and 972 5 x 972 = 4860
6 and 810 6 x 810 = 4860
9 and 540 9 x 540 = 4860
10 and 486 10 x 486 = 4860
12 and 405 12 x 405 = 4860
15 and 324 15 x 324 = 4860
18 and 270 18 x 270 = 4860
20 and 243 20 x 243 = 4860
27 and 180 27 x 180 = 4860
30 and 162 30 x 162 = 4860
36 and 135 36 x 135 = 4860
45 and 108 45 x 108 = 4860
54 and 90 54 x 90 = 4860
60 and 81 60 x 81 = 4860

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 4860. They are called negative pair factors.

Hence, the negative pairs of 4860 would be ( -1 , -4860 ) , ( -2 , -2430 ) , ( -3 , -1620 ) , ( -4 , -1215 ) , ( -5 , -972 ) , ( -6 , -810 ) , ( -9 , -540 ) , ( -10 , -486 ) , ( -12 , -405 ) , ( -15 , -324 ) , ( -18 , -270 ) , ( -20 , -243 ) , ( -27 , -180 ) , ( -30 , -162 ) , ( -36 , -135 ) , ( -45 , -108 ) , ( -54 , -90 ) and ( -60 , -81 ) .

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. 4860 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 4860.
  • Every number is a factor of zero (0), since 4860 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, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860 are exact divisors of 4860.
  • Factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860. Each factor divides 4860 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860 are all less than or equal to 4860.

Frequently Asked Questions

  • Which is the smallest prime factor of 4860?

    Smallest prime factor of 4860 is 2.

  • Is 4860 a perfect square?

    No 4860 is not a perfect square.

  • What are five multiples of 4860?

    First five multiples of 4860 are 9720, 14580, 19440, 24300, 29160.

  • What is prime factorization of 4860?

    Prime factorization of 4860 is 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5.

  • What are factors of 4860?

    Factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860.

  • How do you find factors of a negative number? ( eg. -4860 )?

    Factors of -4860 are -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -27, -30, -36, -45, -54, -60, -81, -90, -108, -135, -162, -180, -243, -270, -324, -405, -486, -540, -810, -972, -1215, -1620, -2430, -4860.

  • Is 4860 a whole number?

    Yes 4860 is a whole number.

  • Which is greatest factor of 4860?

    The greatest factor of 4860 is 2430.

  • What are the prime factors of 4860?

    The factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860.
    Prime factors of 4860 are 2, 2, 3, 3, 3, 3, 3, 5.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 4860. Can you help her?

Prime factors of 4860 are 2, 2, 3, 3, 3, 3, 3, 5.
Hence, the product of prime factors of 30.

Can you help Rubel to find out the product of the even factors of 4860?

Factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860.
Even factors of 4860 are 2, 4, 6, 10, 12, 18, 20, 30, 36, 54, 60, 90, 108, 162, 180, 270, 324, 486, 540, 810, 972, 1620, 2430, 4860.
Hence, product of even factors of 4860 is; 2 x 4 x 6 x 10 x 12 x 18 x 20 x 30 x 36 x 54 x 60 x 90 x 108 x 162 x 180 x 270 x 324 x 486 x 540 x 810 x 972 x 1620 x 2430 x 4860 = 7.112056188734898e+47.

Joy wants to calculate mean of all the factors of 4860. Help him in finding the mean of 4860.

Factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 4860 is 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 27 + 30 + 36 + 45 + 54 + 60 + 81 + 90 + 108 + 135 + 162 + 180 + 243 + 270 + 324 + 405 + 486 + 540 + 810 + 972 + 1215 + 1620 + 2430 + 4860 = 15288.
Hence, the mean of factors of 4860 is 15288 ÷ 36 = 424.67.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 4860? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860.
Negative factors are -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -27, -30, -36, -45, -54, -60, -81, -90, -108, -135, -162, -180, -243, -270, -324, -405, -486, -540, -810, -972, -1215, -1620, -2430, -4860.

How many factors are there for 4860?

Factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860.
So there are in total 36 factors.

Joey wants to write all the prime factors of 4860 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 4860 are 2, 2, 3, 3, 3, 3, 3, 5.
So in exponential form it can be written as 22 x 35 x 5.

Kevin has been asked to write 35 factor(s) of 4860. Can you predict the answer?

35 factor(s) of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430.