Factors of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, and 2448

How to find factors of a number

1. Steps to find factors of 2448 using Division Method

Example: Find factors of 2448

  • Divide 2448 by 1: 2448 ÷ 1 : Remainder = 0
  • Divide 2448 by 2: 2448 ÷ 2 : Remainder = 0
  • Divide 2448 by 3: 2448 ÷ 3 : Remainder = 0
  • Divide 2448 by 4: 2448 ÷ 4 : Remainder = 0
  • Divide 2448 by 6: 2448 ÷ 6 : Remainder = 0
  • Divide 2448 by 8: 2448 ÷ 8 : Remainder = 0
  • Divide 2448 by 9: 2448 ÷ 9 : Remainder = 0
  • Divide 2448 by 12: 2448 ÷ 12 : Remainder = 0
  • Divide 2448 by 16: 2448 ÷ 16 : Remainder = 0
  • Divide 2448 by 17: 2448 ÷ 17 : Remainder = 0
  • Divide 2448 by 18: 2448 ÷ 18 : Remainder = 0
  • Divide 2448 by 24: 2448 ÷ 24 : Remainder = 0
  • Divide 2448 by 34: 2448 ÷ 34 : Remainder = 0
  • Divide 2448 by 36: 2448 ÷ 36 : Remainder = 0
  • Divide 2448 by 48: 2448 ÷ 48 : Remainder = 0
  • Divide 2448 by 51: 2448 ÷ 51 : Remainder = 0
  • Divide 2448 by 68: 2448 ÷ 68 : Remainder = 0
  • Divide 2448 by 72: 2448 ÷ 72 : Remainder = 0
  • Divide 2448 by 102: 2448 ÷ 102 : Remainder = 0
  • Divide 2448 by 136: 2448 ÷ 136 : Remainder = 0
  • Divide 2448 by 144: 2448 ÷ 144 : Remainder = 0
  • Divide 2448 by 153: 2448 ÷ 153 : Remainder = 0
  • Divide 2448 by 204: 2448 ÷ 204 : Remainder = 0
  • Divide 2448 by 272: 2448 ÷ 272 : Remainder = 0
  • Divide 2448 by 306: 2448 ÷ 306 : Remainder = 0
  • Divide 2448 by 408: 2448 ÷ 408 : Remainder = 0
  • Divide 2448 by 612: 2448 ÷ 612 : Remainder = 0
  • Divide 2448 by 816: 2448 ÷ 816 : Remainder = 0
  • Divide 2448 by 1224: 2448 ÷ 1224 : Remainder = 0
  • Divide 2448 by 2448: 2448 ÷ 2448 : Remainder = 0

Hence, Factors of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, and 2448

2. Steps to find factors of 2448 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 2448 using the division method, follow these steps:

  • Step 1. Start dividing 2448 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 2448, which is 2. Divide 2448 by 2 to obtain the quotient (1224).
    2448 ÷ 2 = 1224
  • Step 3. Repeat step 1 with the obtained quotient (1224).
    1224 ÷ 2 = 612
    612 ÷ 2 = 306
    306 ÷ 2 = 153
    153 ÷ 3 = 51
    51 ÷ 3 = 17
    17 ÷ 17 = 1

So, the prime factorization of 2448 is, 2448 = 2 x 2 x 2 x 2 x 3 x 3 x 17.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2448 as shown below:

So, the prime factorization of 2448 is, 2448 = 2 x 2 x 2 x 2 x 3 x 3 x 17.

3. Find factors of 2448 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 2448 would be the two numbers which, when multiplied, give 2448 as the result.

The following table represents the calculation of factors of 2448 in pairs:

Factor Pair Pair Factorization
1 and 2448 1 x 2448 = 2448
2 and 1224 2 x 1224 = 2448
3 and 816 3 x 816 = 2448
4 and 612 4 x 612 = 2448
6 and 408 6 x 408 = 2448
8 and 306 8 x 306 = 2448
9 and 272 9 x 272 = 2448
12 and 204 12 x 204 = 2448
16 and 153 16 x 153 = 2448
17 and 144 17 x 144 = 2448
18 and 136 18 x 136 = 2448
24 and 102 24 x 102 = 2448
34 and 72 34 x 72 = 2448
36 and 68 36 x 68 = 2448
48 and 51 48 x 51 = 2448

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 2448. They are called negative pair factors.

Hence, the negative pairs of 2448 would be ( -1 , -2448 ) , ( -2 , -1224 ) , ( -3 , -816 ) , ( -4 , -612 ) , ( -6 , -408 ) , ( -8 , -306 ) , ( -9 , -272 ) , ( -12 , -204 ) , ( -16 , -153 ) , ( -17 , -144 ) , ( -18 , -136 ) , ( -24 , -102 ) , ( -34 , -72 ) , ( -36 , -68 ) and ( -48 , -51 ) .

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 2448 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 2448.
  • Every number is a factor of zero (0), since 2448 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, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448 are exact divisors of 2448.
  • Factors of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448. Each factor divides 2448 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448 are all less than or equal to 2448.

Frequently Asked Questions

  • Which is the smallest prime factor of 2448?

    Smallest prime factor of 2448 is 2.

  • Is 2448 a perfect square?

    No 2448 is not a perfect square.

  • What are five multiples of 2448?

    First five multiples of 2448 are 4896, 7344, 9792, 12240, 14688.

  • What is prime factorization of 2448?

    Prime factorization of 2448 is 2 x 2 x 2 x 2 x 3 x 3 x 17.

  • What are factors of 2448?

    Factors of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448.

  • How do you find factors of a negative number? ( eg. -2448 )?

    Factors of -2448 are -1, -2, -3, -4, -6, -8, -9, -12, -16, -17, -18, -24, -34, -36, -48, -51, -68, -72, -102, -136, -144, -153, -204, -272, -306, -408, -612, -816, -1224, -2448.

  • Is 2448 a whole number?

    Yes 2448 is a whole number.

  • Which is greatest factor of 2448?

    The greatest factor of 2448 is 1224.

  • What are the prime factors of 2448?

    The factors of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448.
    Prime factors of 2448 are 2, 2, 2, 2, 3, 3, 17.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 2448. Can you help her?

Prime factors of 2448 are 2, 2, 2, 2, 3, 3, 17.
Hence, the product of prime factors of 102.

Can you help Rubel to find out the product of the even factors of 2448?

Factors of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448.
Even factors of 2448 are 2, 4, 6, 8, 12, 16, 18, 24, 34, 36, 48, 68, 72, 102, 136, 144, 204, 272, 306, 408, 612, 816, 1224, 2448.
Hence, product of even factors of 2448 is; 2 x 4 x 6 x 8 x 12 x 16 x 18 x 24 x 34 x 36 x 48 x 68 x 72 x 102 x 136 x 144 x 204 x 272 x 306 x 408 x 612 x 816 x 1224 x 2448 = 1.8971292045456193e+44.

Joy wants to calculate mean of all the factors of 2448. Help him in finding the mean of 2448.

Factors of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 2448 is 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 17 + 18 + 24 + 34 + 36 + 48 + 51 + 68 + 72 + 102 + 136 + 144 + 153 + 204 + 272 + 306 + 408 + 612 + 816 + 1224 + 2448 = 7254.
Hence, the mean of factors of 2448 is 7254 ÷ 30 = 241.80.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2448? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448.
Negative factors are -1, -2, -3, -4, -6, -8, -9, -12, -16, -17, -18, -24, -34, -36, -48, -51, -68, -72, -102, -136, -144, -153, -204, -272, -306, -408, -612, -816, -1224, -2448.

How many factors are there for 2448?

Factors of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448.
So there are in total 30 factors.

Joey wants to write all the prime factors of 2448 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2448 are 2, 2, 2, 2, 3, 3, 17.
So in exponential form it can be written as 24 x 32 x 17.

Kevin has been asked to write 29 factor(s) of 2448. Can you predict the answer?

29 factor(s) of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224.