Factors of 1568 in pair are (1, 1568) , (2, 784) , (4, 392) , (7, 224) , (8, 196) , (14, 112) , (16, 98) , (28, 56) and (32, 49)

How to find factors of a number in pair

Steps to find factors of 1568 in pair

Example: Find factors of 1568 in pair

Factor Pair Pair Factorization
1 and 1568 1 x 1568 = 1568
2 and 784 2 x 784 = 1568
4 and 392 4 x 392 = 1568
7 and 224 7 x 224 = 1568
8 and 196 8 x 196 = 1568
14 and 112 14 x 112 = 1568
16 and 98 16 x 98 = 1568
28 and 56 28 x 56 = 1568
32 and 49 32 x 49 = 1568

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 1568. They are called negative pair factors.

Hence, the negative pairs of 1568 would be ( -1 , -1568 ) .

What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 1568 are 1 , 2 , 4 , 7 , 8 , 14 , 16 , 28 , 32 , 49 , 56 , 98 , 112 , 196 , 224 , 392 , 784 , 1568. So, factors of 1568 in pair are (1,1568), (2,784), (4,392), (7,224), (8,196), (14,112), (16,98), (28,56), (32,49).

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of Factors

  • Each number is a factor of itself. Eg. 1568 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1568.
  • Every number is a factor of zero (0), since 1568 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, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568 are exact divisors of 1568.
  • Factors of 1568 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568. Each factor divides 1568 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, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568 are all less than or equal to 1568.

Steps to find Factors of 1568

  • Step 1. Find all the numbers that would divide 1568 without leaving any remainder. Starting with the number 1 upto 784 (half of 1568). The number 1 and the number itself are always factors of the given number.
    1568 ÷ 1 : Remainder = 0
    1568 ÷ 2 : Remainder = 0
    1568 ÷ 4 : Remainder = 0
    1568 ÷ 7 : Remainder = 0
    1568 ÷ 8 : Remainder = 0
    1568 ÷ 14 : Remainder = 0
    1568 ÷ 16 : Remainder = 0
    1568 ÷ 28 : Remainder = 0
    1568 ÷ 32 : Remainder = 0
    1568 ÷ 49 : Remainder = 0
    1568 ÷ 56 : Remainder = 0
    1568 ÷ 98 : Remainder = 0
    1568 ÷ 112 : Remainder = 0
    1568 ÷ 196 : Remainder = 0
    1568 ÷ 224 : Remainder = 0
    1568 ÷ 392 : Remainder = 0
    1568 ÷ 784 : Remainder = 0
    1568 ÷ 1568 : Remainder = 0

Hence, Factors of 1568 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, and 1568

Frequently Asked Questions

  • Is 1568 a composite number?

    Yes 1568 is a composite number.

  • Is 1568 a prime number?

    No 1568 is not a prime number.

  • Is 1568 a perfect square?

    No 1568 is not a perfect square.

  • Write five multiples of 1568.

    Five multiples of 1568 are 3136, 4704, 6272, 7840, 9408.

  • Write all odd factors of 1568?

    The factors of 1568 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568.
    Odd factors of 1568 are 1 , 7 , 49.

Examples of Factors

Ariel has been asked to write all factor pairs of 1568 but she is finding it difficult. Can you help her find out?

Factors of 1568 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568. So, factors of 1568 in pair are (1,1568), (2,784), (4,392), (7,224), (8,196), (14,112), (16,98), (28,56), (32,49).

Sammy wants to write all the negative factors of 1568 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1568 are -1, -2, -4, -7, -8, -14, -16, -28, -32, -49, -56, -98, -112, -196, -224, -392, -784, -1568. Hence, factors of 1568 in pair are (-1,-1568), (-2,-784), (-4,-392), (-7,-224), (-8,-196), (-14,-112), (-16,-98), (-28,-56), (-32,-49).

Help Deep in writing the positive factors of 1568 in pair and negative factor of 1568 in pair.

Factors of 1568 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568. Positive factors of 1568 in pair are (1,1568), (2,784), (4,392), (7,224), (8,196), (14,112), (16,98), (28,56), (32,49). Negative factors of 1568 in pair are (-1,-1568), (-2,-784), (-4,-392), (-7,-224), (-8,-196), (-14,-112), (-16,-98), (-28,-56), (-32,-49).

Find the product of all factors of 1568.

Factors of 1568 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568. So the product of all factors of 1568 would be 1 x 2 x 4 x 7 x 8 x 14 x 16 x 28 x 32 x 49 x 56 x 98 x 112 x 196 x 224 x 392 x 784 x 1568 = 5.72947099433949e+28.

Find the product of all prime factors of 1568.

Factors of 1568 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568. Prime factors are 2, 2, 2, 2, 2, 7, 7. So, the product of all prime factors of 1568 would be 2 x 2 x 2 x 2 x 2 x 7 x 7 = 1568.

Can you help Sammy list the factors of 1568 and also find the factor pairs?

Factors of 1568 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568.
Factors of 1568 in pair are (1,1568), (2,784), (4,392), (7,224), (8,196), (14,112), (16,98), (28,56), (32,49).

Sammy has 1568 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 1568 blocks in all possible ways to form a rectangle, we need to calculate factors of 1568 in pair. Therefore, factors of 1568 in pair are (1,1568), (2,784), (4,392), (7,224), (8,196), (14,112), (16,98), (28,56), (32,49)