Factors of 510 in pair are (1, 510) , (2, 255) , (3, 170) , (5, 102) , (6, 85) , (10, 51) , (15, 34) and (17, 30)

How to find factors of a number in pair

Steps to find factors of 510 in pair

Example: Find factors of 510 in pair

Factor Pair Pair Factorization
1 and 510 1 x 510 = 510
2 and 255 2 x 255 = 510
3 and 170 3 x 170 = 510
5 and 102 5 x 102 = 510
6 and 85 6 x 85 = 510
10 and 51 10 x 51 = 510
15 and 34 15 x 34 = 510
17 and 30 17 x 30 = 510

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 510. They are called negative pair factors.

Hence, the negative pairs of 510 would be ( -1 , -510 ) .

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 510 are 1 , 2 , 3 , 5 , 6 , 10 , 15 , 17 , 30 , 34 , 51 , 85 , 102 , 170 , 255 , 510. So, factors of 510 in pair are (1,510), (2,255), (3,170), (5,102), (6,85), (10,51), (15,34), (17,30).

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. 510 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, 17, 30, 34, 51, 85, 102, 170, 255, 510 are exact divisors of 510.
  • 1 is a factor of every number. Eg. 1 is a factor of 510.
  • Every number is a factor of zero (0), since 510 x 0 = 0.

Steps to find Factors of 510

  • Step 1. Find all the numbers that would divide 510 without leaving any remainder. Starting with the number 1 upto 255 (half of 510). The number 1 and the number itself are always factors of the given number.
    510 ÷ 1 : Remainder = 0
    510 ÷ 2 : Remainder = 0
    510 ÷ 3 : Remainder = 0
    510 ÷ 5 : Remainder = 0
    510 ÷ 6 : Remainder = 0
    510 ÷ 10 : Remainder = 0
    510 ÷ 15 : Remainder = 0
    510 ÷ 17 : Remainder = 0
    510 ÷ 30 : Remainder = 0
    510 ÷ 34 : Remainder = 0
    510 ÷ 51 : Remainder = 0
    510 ÷ 85 : Remainder = 0
    510 ÷ 102 : Remainder = 0
    510 ÷ 170 : Remainder = 0
    510 ÷ 255 : Remainder = 0
    510 ÷ 510 : Remainder = 0

Hence, Factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, and 510

Frequently Asked Questions

  • Is 510 a composite number?

    Yes 510 is a composite number.

  • Is 510 a prime number?

    No 510 is not a prime number.

  • What is the mean of factors of 510?

    Factors of 510 are 1 , 2 , 3 , 5 , 6 , 10 , 15 , 17 , 30 , 34 , 51 , 85 , 102 , 170 , 255 , 510. therefore mean of factors of 510 is (1 + 2 + 3 + 5 + 6 + 10 + 15 + 17 + 30 + 34 + 51 + 85 + 102 + 170 + 255 + 510) / 16 = 81.00.

  • 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

Can you help Rubel in arranging 510 blocks in order to form a rectangle in all possible ways? For arranging 510 blocks in order to form a rectangle in all possible ways we need to find factors of 510 in pair.

Factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510. So, factors of 510 in pair are (1,510), (2,255), (3,170), (5,102), (6,85), (10,51), (15,34), (17,30).

Ariel has been asked to write all factor pairs of 510 but she is finding it difficult. Can you help her find out?

Factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510. So, factors of 510 in pair are (1,510), (2,255), (3,170), (5,102), (6,85), (10,51), (15,34), (17,30).

How many total number of factors of 510 in pair are possible?

Factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510. Hence, the factors of 510 in pair are (1,510), (2,255), (3,170), (5,102), (6,85), (10,51), (15,34), (17,30). Therefore, in total 8 pairs of factors are possible.

Sammy wants to write all the negative factors of 510 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 510 are -1, -2, -3, -5, -6, -10, -15, -17, -30, -34, -51, -85, -102, -170, -255, -510. Hence, factors of 510 in pair are (-1,-510), (-2,-255), (-3,-170), (-5,-102), (-6,-85), (-10,-51), (-15,-34), (-17,-30).

Help Deep in writing the positive factors of 510 in pair and negative factor of 510 in pair.

Factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510. Positive factors of 510 in pair are (1,510), (2,255), (3,170), (5,102), (6,85), (10,51), (15,34), (17,30). Negative factors of 510 in pair are (-1,-510), (-2,-255), (-3,-170), (-5,-102), (-6,-85), (-10,-51), (-15,-34), (-17,-30).

Find the product of all factors of 510.

Factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510. So the product of all factors of 510 would be 1 x 2 x 3 x 5 x 6 x 10 x 15 x 17 x 30 x 34 x 51 x 85 x 102 x 170 x 255 x 510 = 4.5767944570401e+21.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 510.
- Writing all prime factors of 510.
- Writing all the possible factors of 510 in pair.
Help him in writing all these.

Positive factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510.
Prime factors of 510 are 2, 3, 5, 17.
Factors of 510 in pair are (1,510), (2,255), (3,170), (5,102), (6,85), (10,51), (15,34), (17,30).

Can you help Sammy list the factors of 510 and also find the factor pairs?

Factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510.
Factors of 510 in pair are (1,510), (2,255), (3,170), (5,102), (6,85), (10,51), (15,34), (17,30).