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

How to find factors of a number in pair

Steps to find factors of 1290 in pair

Example: Find factors of 1290 in pair

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 ) .

Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 1290 are 1 , 2 , 3 , 5 , 6 , 10 , 15 , 30 , 43 , 86 , 129 , 215 , 258 , 430 , 645 , 1290. So, factors of 1290 in pair are (1,1290), (2,645), (3,430), (5,258), (6,215), (10,129), (15,86), (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.

Steps to find Factors of 1290

  • Step 1. Find all the numbers that would divide 1290 without leaving any remainder. Starting with the number 1 upto 645 (half of 1290). The number 1 and the number itself are always factors of the given number.
    1290 ÷ 1 : Remainder = 0
    1290 ÷ 2 : Remainder = 0
    1290 ÷ 3 : Remainder = 0
    1290 ÷ 5 : Remainder = 0
    1290 ÷ 6 : Remainder = 0
    1290 ÷ 10 : Remainder = 0
    1290 ÷ 15 : Remainder = 0
    1290 ÷ 30 : Remainder = 0
    1290 ÷ 43 : Remainder = 0
    1290 ÷ 86 : Remainder = 0
    1290 ÷ 129 : Remainder = 0
    1290 ÷ 215 : Remainder = 0
    1290 ÷ 258 : Remainder = 0
    1290 ÷ 430 : Remainder = 0
    1290 ÷ 645 : Remainder = 0
    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

Frequently Asked Questions

  • Is 1290 a composite number?

    Yes 1290 is a composite number.

  • Is 1290 a prime number?

    No 1290 is not a prime number.

  • What is the mean of factors of 1290?

    Factors of 1290 are 1 , 2 , 3 , 5 , 6 , 10 , 15 , 30 , 43 , 86 , 129 , 215 , 258 , 430 , 645 , 1290. therefore mean of factors of 1290 is (1 + 2 + 3 + 5 + 6 + 10 + 15 + 30 + 43 + 86 + 129 + 215 + 258 + 430 + 645 + 1290) / 16 = 198.00.

  • What do you mean by proper divisors?

    A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

  • What do you mean by improper divisors?

    An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Examples of Factors

Ariel has been asked to write all factor pairs of 1290 but she is finding it difficult. Can you help her find out?

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

Sammy wants to write all the negative factors of 1290 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1290 are -1, -2, -3, -5, -6, -10, -15, -30, -43, -86, -129, -215, -258, -430, -645, -1290. Hence, factors of 1290 in pair are (-1,-1290), (-2,-645), (-3,-430), (-5,-258), (-6,-215), (-10,-129), (-15,-86), (-30,-43).

Help Deep in writing the positive factors of 1290 in pair and negative factor of 1290 in pair.

Factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290. Positive factors of 1290 in pair are (1,1290), (2,645), (3,430), (5,258), (6,215), (10,129), (15,86), (30,43). Negative factors of 1290 in pair are (-1,-1290), (-2,-645), (-3,-430), (-5,-258), (-6,-215), (-10,-129), (-15,-86), (-30,-43).

Find the product of all prime factors of 1290.

Factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290. Prime factors are 2, 3, 5, 43. So, the product of all prime factors of 1290 would be 2 x 3 x 5 x 43 = 1290.

Can you help Sammy list the factors of 1290 and also find the factor pairs?

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

Help Diji in finding factors of 1290 by Prime Factorization method and then sorting factors of 1290 in pairs.

Prime factorization of 1290 is 2 x 3 x 5 x 43. Factors of 1290 in pair can be written as (1,1290), (2,645), (3,430), (5,258), (6,215), (10,129), (15,86), (30,43).

Write the smallest prime factor of 1290.

Smallest prime factor of 1290 is 2.

Write the largest prime factor of 1290.

Largest prime factor of 1290 is 43.