1. Steps to find factors of 1290 using Division Method

Example: Find factors of 1290

  • Divide 1290 by 1: 1290 ÷ 1 : Remainder = 0
  • Divide 1290 by 2: 1290 ÷ 2 : Remainder = 0
  • Divide 1290 by 3: 1290 ÷ 3 : Remainder = 0
  • Divide 1290 by 5: 1290 ÷ 5 : Remainder = 0
  • Divide 1290 by 6: 1290 ÷ 6 : Remainder = 0
  • Divide 1290 by 10: 1290 ÷ 10 : Remainder = 0
  • Divide 1290 by 15: 1290 ÷ 15 : Remainder = 0
  • Divide 1290 by 30: 1290 ÷ 30 : Remainder = 0
  • Divide 1290 by 43: 1290 ÷ 43 : Remainder = 0
  • Divide 1290 by 86: 1290 ÷ 86 : Remainder = 0
  • Divide 1290 by 129: 1290 ÷ 129 : Remainder = 0
  • Divide 1290 by 215: 1290 ÷ 215 : Remainder = 0
  • Divide 1290 by 258: 1290 ÷ 258 : Remainder = 0
  • Divide 1290 by 430: 1290 ÷ 430 : Remainder = 0
  • Divide 1290 by 645: 1290 ÷ 645 : Remainder = 0
  • Divide 1290 by 1290: 1290 ÷ 1290 : Remainder = 0

Hence, Factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, and 1290

2. Steps to find factors of 1290 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 1290 using the division method, follow these steps:

  • Step 1. Start dividing 1290 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 1290, which is 2. Divide 1290 by 2 to obtain the quotient (645).
    1290 ÷ 2 = 645
  • Step 3. Repeat step 1 with the obtained quotient (645).
    645 ÷ 3 = 215
    215 ÷ 5 = 43
    43 ÷ 43 = 1

So, the prime factorization of 1290 is, 1290 = 2 x 3 x 5 x 43.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1290 as shown below:

So, the prime factorization of 1290 is, 1290 = 2 x 3 x 5 x 43.

3. Find factors of 1290 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 1290 would be the two numbers which, when multiplied, give 1290 as the result.

The following table represents the calculation of factors of 1290 in pairs:

Factor Pair Pair Factorization
1 and 1290 1 x 1290 = 1290
2 and 645 2 x 645 = 1290
3 and 430 3 x 430 = 1290
5 and 258 5 x 258 = 1290
6 and 215 6 x 215 = 1290
10 and 129 10 x 129 = 1290
15 and 86 15 x 86 = 1290
30 and 43 30 x 43 = 1290

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 1290. They are called negative pair factors.

Hence, the negative pairs of 1290 would be ( -1 , -1290 ) , ( -2 , -645 ) , ( -3 , -430 ) , ( -5 , -258 ) , ( -6 , -215 ) , ( -10 , -129 ) , ( -15 , -86 ) and ( -30 , -43 ) .

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. 1290 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, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290 are exact divisors of 1290.
  • 1 is a factor of every number. Eg. 1 is a factor of 1290.
  • Every number is a factor of zero (0), since 1290 x 0 = 0.

Frequently Asked Questions

  • What are the prime factors of 1290?

    The factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290.
    Prime factors of 1290 are 2, 3, 5, 43.

  • What two numbers make 1290?

    Two numbers that make 1290 are 2 and 645.

  • What is the greatest prime factors of 1290?

    The greatest prime factor of 1290 is 43.

  • What are factors of 1290?

    Factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290.

  • How do you find factors of a negative number? ( eg. -1290 )?

    Factors of -1290 are -1, -2, -3, -5, -6, -10, -15, -30, -43, -86, -129, -215, -258, -430, -645, -1290.

  • What are five multiples of 1290?

    First five multiples of 1290 are 2580, 3870, 5160, 6450, 7740.

  • Write some multiples of 1290?

    First five multiples of 1290 are 2580, 3870, 5160, 6450.

  • Is 1290 a perfect square?

    No 1290 is not a perfect square.

  • What two numbers make 1290?

    Two numbers that make 1290 are 2 and 645.

Examples of Factors

What is prime factorization of 1290?

Prime factorization of 1290 is 2 x 3 x 5 x 43 = 2 x 3 x 5 x 43.

Sammy is puzzled while calculating the prime factors of 1290. Can you help him find them?

Factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290.
Prime factors of 1290 are 2, 3, 5, 43

Kevin has been asked to write 15 factor(s) of 1290. Can you predict the answer?

15 factor(s) of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645.

Joey wants to write all the prime factors of 1290 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1290 are 2, 3, 5, 43.
So in exponential form it can be written as 2 x 3 x 5 x 43.

How many factors are there for 1290?

Factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290.
So there are in total 16 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1290? Help her in writing all the factors.

Positive factors are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290.
Negative factors are -1, -2, -3, -5, -6, -10, -15, -30, -43, -86, -129, -215, -258, -430, -645, -1290.

Can you help Rubel to find out the product of the even factors of 1290?

Factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290.
Even factors of 1290 are 2, 6, 10, 30, 86, 258, 430, 1290.
Hence, product of even factors of 1290 is; 2 x 6 x 10 x 30 x 86 x 258 x 430 x 1290 = 44307660960000.