Factors of 784 in pair are (1, 784) , (2, 392) , (4, 196) , (7, 112) , (8, 98) , (14, 56) , (16, 49) and (28, 28)

How to find factors of a number in pair

Steps to find factors of 784 in pair

Example: Find factors of 784 in pair

Factor Pair Pair Factorization
1 and 784 1 x 784 = 784
2 and 392 2 x 392 = 784
4 and 196 4 x 196 = 784
7 and 112 7 x 112 = 784
8 and 98 8 x 98 = 784
14 and 56 14 x 56 = 784
16 and 49 16 x 49 = 784
28 and 28 28 x 28 = 784

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 784. They are called negative pair factors.

Hence, the negative pairs of 784 would be ( -1 , -784 ) .

What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 784 are 1 , 2 , 4 , 7 , 8 , 14 , 16 , 28 , 49 , 56 , 98 , 112 , 196 , 392 , 784. So, factors of 784 in pair are (1,784), (2,392), (4,196), (7,112), (8,98), (14,56), (16,49), (28,28).

How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

Properties of Factors

  • Each number is a factor of itself. Eg. 784 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 784.
  • Every number is a factor of zero (0), since 784 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, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784 are exact divisors of 784.
  • Factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784. Each factor divides 784 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784 are all less than or equal to 784.

Steps to find Factors of 784

  • Step 1. Find all the numbers that would divide 784 without leaving any remainder. Starting with the number 1 upto 392 (half of 784). The number 1 and the number itself are always factors of the given number.
    784 ÷ 1 : Remainder = 0
    784 ÷ 2 : Remainder = 0
    784 ÷ 4 : Remainder = 0
    784 ÷ 7 : Remainder = 0
    784 ÷ 8 : Remainder = 0
    784 ÷ 14 : Remainder = 0
    784 ÷ 16 : Remainder = 0
    784 ÷ 28 : Remainder = 0
    784 ÷ 49 : Remainder = 0
    784 ÷ 56 : Remainder = 0
    784 ÷ 98 : Remainder = 0
    784 ÷ 112 : Remainder = 0
    784 ÷ 196 : Remainder = 0
    784 ÷ 392 : Remainder = 0
    784 ÷ 784 : Remainder = 0

Hence, Factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, and 784

Frequently Asked Questions

  • Is 784 a composite number?

    Yes 784 is a composite number.

  • Is 784 a prime number?

    No 784 is not a prime number.

  • Write five multiples of 784.

    Five multiples of 784 are 1568, 2352, 3136, 3920, 4704.

  • Write all odd factors of 784?

    The factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784.
    Odd factors of 784 are 1 , 7 , 49.

  • What is the mean of all prime factors of 784?

    Factors of 784 are 1 , 2 , 4 , 7 , 8 , 14 , 16 , 28 , 49 , 56 , 98 , 112 , 196 , 392 , 784. Prime factors of 784 are 2 , 2 , 2 , 2 , 7 , 7. Therefore mean of prime factors of 784 is (2 + 2 + 2 + 2 + 7 + 7) / 6 = 3.67.

Examples of Factors

Ariel has been asked to write all factor pairs of 784 but she is finding it difficult. Can you help her find out?

Factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784. So, factors of 784 in pair are (1,784), (2,392), (4,196), (7,112), (8,98), (14,56), (16,49), (28,28).

Sammy wants to write all the negative factors of 784 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 784 are -1, -2, -4, -7, -8, -14, -16, -28, -49, -56, -98, -112, -196, -392, -784. Hence, factors of 784 in pair are (-1,-784), (-2,-392), (-4,-196), (-7,-112), (-8,-98), (-14,-56), (-16,-49), (-28,-28).

Help Deep in writing the positive factors of 784 in pair and negative factor of 784 in pair.

Factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784. Positive factors of 784 in pair are (1,784), (2,392), (4,196), (7,112), (8,98), (14,56), (16,49), (28,28). Negative factors of 784 in pair are (-1,-784), (-2,-392), (-4,-196), (-7,-112), (-8,-98), (-14,-56), (-16,-49), (-28,-28).

Find the product of all factors of 784.

Factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784. So the product of all factors of 784 would be 1 x 2 x 4 x 7 x 8 x 14 x 16 x 28 x 49 x 56 x 98 x 112 x 196 x 392 x 784 = 5.097655355238391e+21.

Find the product of all prime factors of 784.

Factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784. Prime factors are 2, 2, 2, 2, 7, 7. So, the product of all prime factors of 784 would be 2 x 2 x 2 x 2 x 7 x 7 = 784.

Can you help Sammy list the factors of 784 and also find the factor pairs?

Factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784.
Factors of 784 in pair are (1,784), (2,392), (4,196), (7,112), (8,98), (14,56), (16,49), (28,28).

Sammy has 784 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 784 blocks in all possible ways to form a rectangle, we need to calculate factors of 784 in pair. Therefore, factors of 784 in pair are (1,784), (2,392), (4,196), (7,112), (8,98), (14,56), (16,49), (28,28)