1. Steps to find factors of 3234 using Division Method

Example: Find factors of 3234

  • Divide 3234 by 1: 3234 ÷ 1 : Remainder = 0
  • Divide 3234 by 2: 3234 ÷ 2 : Remainder = 0
  • Divide 3234 by 3: 3234 ÷ 3 : Remainder = 0
  • Divide 3234 by 6: 3234 ÷ 6 : Remainder = 0
  • Divide 3234 by 7: 3234 ÷ 7 : Remainder = 0
  • Divide 3234 by 11: 3234 ÷ 11 : Remainder = 0
  • Divide 3234 by 14: 3234 ÷ 14 : Remainder = 0
  • Divide 3234 by 21: 3234 ÷ 21 : Remainder = 0
  • Divide 3234 by 22: 3234 ÷ 22 : Remainder = 0
  • Divide 3234 by 33: 3234 ÷ 33 : Remainder = 0
  • Divide 3234 by 42: 3234 ÷ 42 : Remainder = 0
  • Divide 3234 by 49: 3234 ÷ 49 : Remainder = 0
  • Divide 3234 by 66: 3234 ÷ 66 : Remainder = 0
  • Divide 3234 by 77: 3234 ÷ 77 : Remainder = 0
  • Divide 3234 by 98: 3234 ÷ 98 : Remainder = 0
  • Divide 3234 by 147: 3234 ÷ 147 : Remainder = 0
  • Divide 3234 by 154: 3234 ÷ 154 : Remainder = 0
  • Divide 3234 by 231: 3234 ÷ 231 : Remainder = 0
  • Divide 3234 by 294: 3234 ÷ 294 : Remainder = 0
  • Divide 3234 by 462: 3234 ÷ 462 : Remainder = 0
  • Divide 3234 by 539: 3234 ÷ 539 : Remainder = 0
  • Divide 3234 by 1078: 3234 ÷ 1078 : Remainder = 0
  • Divide 3234 by 1617: 3234 ÷ 1617 : Remainder = 0
  • Divide 3234 by 3234: 3234 ÷ 3234 : Remainder = 0

Hence, Factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, and 3234

2. Steps to find factors of 3234 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 3234 using the division method, follow these steps:

  • Step 1. Start dividing 3234 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 3234, which is 2. Divide 3234 by 2 to obtain the quotient (1617).
    3234 ÷ 2 = 1617
  • Step 3. Repeat step 1 with the obtained quotient (1617).
    1617 ÷ 3 = 539
    539 ÷ 7 = 77
    77 ÷ 7 = 11
    11 ÷ 11 = 1

So, the prime factorization of 3234 is, 3234 = 2 x 3 x 7 x 7 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 3234 as shown below:

So, the prime factorization of 3234 is, 3234 = 2 x 3 x 7 x 7 x 11.

3. Find factors of 3234 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 3234 would be the two numbers which, when multiplied, give 3234 as the result.

The following table represents the calculation of factors of 3234 in pairs:

Factor Pair Pair Factorization
1 and 3234 1 x 3234 = 3234
2 and 1617 2 x 1617 = 3234
3 and 1078 3 x 1078 = 3234
6 and 539 6 x 539 = 3234
7 and 462 7 x 462 = 3234
11 and 294 11 x 294 = 3234
14 and 231 14 x 231 = 3234
21 and 154 21 x 154 = 3234
22 and 147 22 x 147 = 3234
33 and 98 33 x 98 = 3234
42 and 77 42 x 77 = 3234
49 and 66 49 x 66 = 3234

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 3234. They are called negative pair factors.

Hence, the negative pairs of 3234 would be ( -1 , -3234 ) , ( -2 , -1617 ) , ( -3 , -1078 ) , ( -6 , -539 ) , ( -7 , -462 ) , ( -11 , -294 ) , ( -14 , -231 ) , ( -21 , -154 ) , ( -22 , -147 ) , ( -33 , -98 ) , ( -42 , -77 ) and ( -49 , -66 ) .

How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

Properties of factors

  • Each number is a factor of itself. Eg. 3234 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, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234 are exact divisors of 3234.
  • 1 is a factor of every number. Eg. 1 is a factor of 3234.
  • Every number is a factor of zero (0), since 3234 x 0 = 0.

Frequently Asked Questions

  • What are the prime factors of 3234?

    The factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234.
    Prime factors of 3234 are 2, 3, 7, 7, 11.

  • What two numbers make 3234?

    Two numbers that make 3234 are 2 and 1617.

  • What is the greatest prime factors of 3234?

    The greatest prime factor of 3234 is 11.

  • What are factors of 3234?

    Factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234.

  • How do you find factors of a negative number? ( eg. -3234 )?

    Factors of -3234 are -1, -2, -3, -6, -7, -11, -14, -21, -22, -33, -42, -49, -66, -77, -98, -147, -154, -231, -294, -462, -539, -1078, -1617, -3234.

  • What are five multiples of 3234?

    First five multiples of 3234 are 6468, 9702, 12936, 16170, 19404.

  • Write some multiples of 3234?

    First five multiples of 3234 are 6468, 9702, 12936, 16170.

  • Is 3234 a perfect square?

    No 3234 is not a perfect square.

  • What two numbers make 3234?

    Two numbers that make 3234 are 2 and 1617.

Examples of Factors

What is prime factorization of 3234?

Prime factorization of 3234 is 2 x 3 x 7 x 7 x 11 = 2 x 3 x 72 x 11.

Sammy is puzzled while calculating the prime factors of 3234. Can you help him find them?

Factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234.
Prime factors of 3234 are 2, 3, 7, 7, 11

Kevin has been asked to write 23 factor(s) of 3234. Can you predict the answer?

23 factor(s) of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617.

Joey wants to write all the prime factors of 3234 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 3234 are 2, 3, 7, 7, 11.
So in exponential form it can be written as 2 x 3 x 72 x 11.

How many factors are there for 3234?

Factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234.
So there are in total 24 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 3234? Help her in writing all the factors.

Positive factors are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234.
Negative factors are -1, -2, -3, -6, -7, -11, -14, -21, -22, -33, -42, -49, -66, -77, -98, -147, -154, -231, -294, -462, -539, -1078, -1617, -3234.

Can you help Rubel to find out the product of the even factors of 3234?

Factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234.
Even factors of 3234 are 2, 6, 14, 22, 42, 66, 98, 154, 294, 462, 1078, 3234.
Hence, product of even factors of 3234 is; 2 x 6 x 14 x 22 x 42 x 66 x 98 x 154 x 294 x 462 x 1078 x 3234 = 7.3218371869987486e+22.