Factors of 760 in pair are (1, 760) , (2, 380) , (4, 190) , (5, 152) , (8, 95) , (10, 76) , (19, 40) and (20, 38)

How to find factors of a number in pair

Steps to find factors of 760 in pair

Example: Find factors of 760 in pair

Factor Pair Pair Factorization
1 and 760 1 x 760 = 760
2 and 380 2 x 380 = 760
4 and 190 4 x 190 = 760
5 and 152 5 x 152 = 760
8 and 95 8 x 95 = 760
10 and 76 10 x 76 = 760
19 and 40 19 x 40 = 760
20 and 38 20 x 38 = 760

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 760. They are called negative pair factors.

Hence, the negative pairs of 760 would be ( -1 , -760 ) .

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 760 are 1 , 2 , 4 , 5 , 8 , 10 , 19 , 20 , 38 , 40 , 76 , 95 , 152 , 190 , 380 , 760. So, factors of 760 in pair are (1,760), (2,380), (4,190), (5,152), (8,95), (10,76), (19,40), (20,38).

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. 760 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 760.
  • Every number is a factor of zero (0), since 760 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, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760 are exact divisors of 760.
  • Factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760. Each factor divides 760 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760 are all less than or equal to 760.

Steps to find Factors of 760

  • Step 1. Find all the numbers that would divide 760 without leaving any remainder. Starting with the number 1 upto 380 (half of 760). The number 1 and the number itself are always factors of the given number.
    760 ÷ 1 : Remainder = 0
    760 ÷ 2 : Remainder = 0
    760 ÷ 4 : Remainder = 0
    760 ÷ 5 : Remainder = 0
    760 ÷ 8 : Remainder = 0
    760 ÷ 10 : Remainder = 0
    760 ÷ 19 : Remainder = 0
    760 ÷ 20 : Remainder = 0
    760 ÷ 38 : Remainder = 0
    760 ÷ 40 : Remainder = 0
    760 ÷ 76 : Remainder = 0
    760 ÷ 95 : Remainder = 0
    760 ÷ 152 : Remainder = 0
    760 ÷ 190 : Remainder = 0
    760 ÷ 380 : Remainder = 0
    760 ÷ 760 : Remainder = 0

Hence, Factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, and 760

Frequently Asked Questions

  • Is 760 a composite number?

    Yes 760 is a composite number.

  • Is 760 a prime number?

    No 760 is not a prime number.

  • Write five multiples of 760.

    Five multiples of 760 are 1520, 2280, 3040, 3800, 4560.

  • Write all odd factors of 760?

    The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760.
    Odd factors of 760 are 1 , 5 , 19 , 95.

  • What is the mean of all prime factors of 760?

    Factors of 760 are 1 , 2 , 4 , 5 , 8 , 10 , 19 , 20 , 38 , 40 , 76 , 95 , 152 , 190 , 380 , 760. Prime factors of 760 are 2 , 2 , 2 , 5 , 19. Therefore mean of prime factors of 760 is (2 + 2 + 2 + 5 + 19) / 5 = 6.00.

Examples of Factors

Ariel has been asked to write all factor pairs of 760 but she is finding it difficult. Can you help her find out?

Factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760. So, factors of 760 in pair are (1,760), (2,380), (4,190), (5,152), (8,95), (10,76), (19,40), (20,38).

Sammy wants to write all the negative factors of 760 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 760 are -1, -2, -4, -5, -8, -10, -19, -20, -38, -40, -76, -95, -152, -190, -380, -760. Hence, factors of 760 in pair are (-1,-760), (-2,-380), (-4,-190), (-5,-152), (-8,-95), (-10,-76), (-19,-40), (-20,-38).

Help Deep in writing the positive factors of 760 in pair and negative factor of 760 in pair.

Factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760. Positive factors of 760 in pair are (1,760), (2,380), (4,190), (5,152), (8,95), (10,76), (19,40), (20,38). Negative factors of 760 in pair are (-1,-760), (-2,-380), (-4,-190), (-5,-152), (-8,-95), (-10,-76), (-19,-40), (-20,-38).

Find the product of all factors of 760.

Factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760. So the product of all factors of 760 would be 1 x 2 x 4 x 5 x 8 x 10 x 19 x 20 x 38 x 40 x 76 x 95 x 152 x 190 x 380 x 760 = 1.113034787454976e+23.

Find the product of all prime factors of 760.

Factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760. Prime factors are 2, 2, 2, 5, 19. So, the product of all prime factors of 760 would be 2 x 2 x 2 x 5 x 19 = 760.

Can you help Sammy list the factors of 760 and also find the factor pairs?

Factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760.
Factors of 760 in pair are (1,760), (2,380), (4,190), (5,152), (8,95), (10,76), (19,40), (20,38).

Sammy has 760 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 760 blocks in all possible ways to form a rectangle, we need to calculate factors of 760 in pair. Therefore, factors of 760 in pair are (1,760), (2,380), (4,190), (5,152), (8,95), (10,76), (19,40), (20,38)