Factors of 1040 in pair are (1, 1040) , (2, 520) , (4, 260) , (5, 208) , (8, 130) , (10, 104) , (13, 80) , (16, 65) , (20, 52) and (26, 40)

How to find factors of a number in pair

Steps to find factors of 1040 in pair

Example: Find factors of 1040 in pair

Factor Pair Pair Factorization
1 and 1040 1 x 1040 = 1040
2 and 520 2 x 520 = 1040
4 and 260 4 x 260 = 1040
5 and 208 5 x 208 = 1040
8 and 130 8 x 130 = 1040
10 and 104 10 x 104 = 1040
13 and 80 13 x 80 = 1040
16 and 65 16 x 65 = 1040
20 and 52 20 x 52 = 1040
26 and 40 26 x 40 = 1040

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 1040. They are called negative pair factors.

Hence, the negative pairs of 1040 would be ( -1 , -1040 ) .

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 1040 are 1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 20 , 26 , 40 , 52 , 65 , 80 , 104 , 130 , 208 , 260 , 520 , 1040. So, factors of 1040 in pair are (1,1040), (2,520), (4,260), (5,208), (8,130), (10,104), (13,80), (16,65), (20,52), (26,40).

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. 1040 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1040.
  • Every number is a factor of zero (0), since 1040 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, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040 are exact divisors of 1040.
  • Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040. Each factor divides 1040 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040 are all less than or equal to 1040.

Steps to find Factors of 1040

  • Step 1. Find all the numbers that would divide 1040 without leaving any remainder. Starting with the number 1 upto 520 (half of 1040). The number 1 and the number itself are always factors of the given number.
    1040 ÷ 1 : Remainder = 0
    1040 ÷ 2 : Remainder = 0
    1040 ÷ 4 : Remainder = 0
    1040 ÷ 5 : Remainder = 0
    1040 ÷ 8 : Remainder = 0
    1040 ÷ 10 : Remainder = 0
    1040 ÷ 13 : Remainder = 0
    1040 ÷ 16 : Remainder = 0
    1040 ÷ 20 : Remainder = 0
    1040 ÷ 26 : Remainder = 0
    1040 ÷ 40 : Remainder = 0
    1040 ÷ 52 : Remainder = 0
    1040 ÷ 65 : Remainder = 0
    1040 ÷ 80 : Remainder = 0
    1040 ÷ 104 : Remainder = 0
    1040 ÷ 130 : Remainder = 0
    1040 ÷ 208 : Remainder = 0
    1040 ÷ 260 : Remainder = 0
    1040 ÷ 520 : Remainder = 0
    1040 ÷ 1040 : Remainder = 0

Hence, Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, and 1040

Frequently Asked Questions

  • Is 1040 a composite number?

    Yes 1040 is a composite number.

  • Is 1040 a prime number?

    No 1040 is not a prime number.

  • Is 1040 a perfect square?

    No 1040 is not a perfect square.

  • Write five multiples of 1040.

    Five multiples of 1040 are 2080, 3120, 4160, 5200, 6240.

  • Write all odd factors of 1040?

    The factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040.
    Odd factors of 1040 are 1 , 5 , 13 , 65.

Examples of Factors

Ariel has been asked to write all factor pairs of 1040 but she is finding it difficult. Can you help her find out?

Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040. So, factors of 1040 in pair are (1,1040), (2,520), (4,260), (5,208), (8,130), (10,104), (13,80), (16,65), (20,52), (26,40).

Sammy wants to write all the negative factors of 1040 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1040 are -1, -2, -4, -5, -8, -10, -13, -16, -20, -26, -40, -52, -65, -80, -104, -130, -208, -260, -520, -1040. Hence, factors of 1040 in pair are (-1,-1040), (-2,-520), (-4,-260), (-5,-208), (-8,-130), (-10,-104), (-13,-80), (-16,-65), (-20,-52), (-26,-40).

Help Deep in writing the positive factors of 1040 in pair and negative factor of 1040 in pair.

Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040. Positive factors of 1040 in pair are (1,1040), (2,520), (4,260), (5,208), (8,130), (10,104), (13,80), (16,65), (20,52), (26,40). Negative factors of 1040 in pair are (-1,-1040), (-2,-520), (-4,-260), (-5,-208), (-8,-130), (-10,-104), (-13,-80), (-16,-65), (-20,-52), (-26,-40).

Find the product of all factors of 1040.

Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040. So the product of all factors of 1040 would be 1 x 2 x 4 x 5 x 8 x 10 x 13 x 16 x 20 x 26 x 40 x 52 x 65 x 80 x 104 x 130 x 208 x 260 x 520 x 1040 = 1.4802442849183438e+30.

Find the product of all prime factors of 1040.

Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040. Prime factors are 2, 2, 2, 2, 5, 13. So, the product of all prime factors of 1040 would be 2 x 2 x 2 x 2 x 5 x 13 = 1040.

Can you help Sammy list the factors of 1040 and also find the factor pairs?

Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040.
Factors of 1040 in pair are (1,1040), (2,520), (4,260), (5,208), (8,130), (10,104), (13,80), (16,65), (20,52), (26,40).

Sammy has 1040 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 1040 blocks in all possible ways to form a rectangle, we need to calculate factors of 1040 in pair. Therefore, factors of 1040 in pair are (1,1040), (2,520), (4,260), (5,208), (8,130), (10,104), (13,80), (16,65), (20,52), (26,40)