Factors of 1568 are numbers that, when multiplied in pairs give the product as 1568. There are total 18 factors of 1568, of which 2, 7 are its prime factors. The Prime Factorization of 1568 is 2⁵ × 7².

• All Factors of 1568: 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784 and 1568
• Prime Factors of 1568: 2, 7
• Prime Factorization of 1568: 2⁵ × 7²
• Sum of Factors of 1568: 3591

1.	What Are the Factors of 1568?
2.	Factors of 1568 by Prime Factorization
3.	Factors of 1568 in Pairs
4.	FAQs on Factors of 1568

Factors of 1568 are pairs of those numbers whose products result in 1568. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1568?

To find the factors of 1568, we will have to find the list of numbers that would divide 1568 without leaving any remainder.

• 1568/112 = 14; therefore, 112 is a factor of 1568 and 14 is also a factor of 1568.
• 1568/224 = 7; therefore, 224 is a factor of 1568 and 7 is also a factor of 1568.

Similarly we can find other factors. Hence, the factors of 1568 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568.

☛ Also Check:

• Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
• Factors of 5 - The factors of 5 are 1, 5
• Factors of 31 - The factors of 31 are 1, 31
• Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
• Factors of 49 - The factors of 49 are 1, 7, 49

The number 1568 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1568. The first step is to divide the number 1568 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1568 ÷ 2 = 784
• 784 ÷ 2 = 392
• 392 ÷ 2 = 196
• 196 ÷ 2 = 98
• 98 ÷ 2 = 49

Further dividing 49 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 49 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 1568 can be written as 2⁵ × 7² where 2, 7 are prime.

Pair factors of 1568 are the pairs of numbers that when multiplied give the product 1568. The factors of 1568 in pairs are:

• 1 × 1568 = (1, 1568)
• 2 × 784 = (2, 784)
• 4 × 392 = (4, 392)
• 7 × 224 = (7, 224)
• 8 × 196 = (8, 196)
• 14 × 112 = (14, 112)
• 16 × 98 = (16, 98)
• 28 × 56 = (28, 56)
• 32 × 49 = (32, 49)

Negative pair factors of 1568 are:

• -1 × -1568 = (-1, -1568)
• -2 × -784 = (-2, -784)
• -4 × -392 = (-4, -392)
• -7 × -224 = (-7, -224)
• -8 × -196 = (-8, -196)
• -14 × -112 = (-14, -112)
• -16 × -98 = (-16, -98)
• -28 × -56 = (-28, -56)
• -32 × -49 = (-32, -49)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.