Factors of 320

Factors of 320 are the list of positive and negative whole numbers that can be divided evenly into 320. Negative factors of 320 are just factors with a negative sign. There are 14 factors of 320 in all. Amongst the 14 factors, 320 itself is the biggest factor. In this lesson, we will discuss negative and positive factors of 320, factor pairs with the help of interesting solved examples.

• Factors of 320: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160 and 320
• Factors of -320: -1, -2, -4, -5, -8, -10, -16, -20, -32, -40, -64, -80, -160 and -320
• Prime Factorization of 320: 2⁶ × 5

Factors of 320 are all the numbers which when multiplied give the value 320. 320 is a composite number and it has a total of 14 factors i.e. 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160 and 320. Explore factors of other numbers with illustrations and interactive examples:

• Factors of 32: The factors of 32 are 1, 2, 4, 8, 16 and 32
• Factors of 180: The factors of 180 are 1 , 2, 3, 4, 5, 6, 9, 10,12,15,18, 20, 30, 36, 45, 60, 90 and 180
• Factors of 19: The factors of 4519 are 1 and 19.
• Factors of 110: The factors of 110 are 1, 2, 5, 10,11, and 110.
• Factors of 196: The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98 and196.

• Step 1: Write down the number to be factored which is 320.
• Step 2: Find the two numbers whose product gives 320.
  • As we know 320 is a product of 10 and 32.
  • 10 is not a prime number. Hence, 10 = 2 × 5
  • 32 is not a prime number. 32 = 4 × 8.
  • 32 can also be factored as 2 × 16.
  • Thus we obtain the factors 1, 2, 4, 5, 8, 10, and 16 and their pair factors 20,32, 40, 64, 80,160, and 320 that make 320.
• Step 3: Thus the factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160 and 320.

Prime factorization is finding which prime numbers multiply together to make the original number.

• Step 1: 320 can be factored as a product of 16 and 20.
• Step 2: We see the factors, whether each one of them is prime or not. 16 is not a prime number and can be factored as 4 × 4. 4 is a composite number and it can be factored as 2 × 2. 20 is not a prime number and can be factored as 2 × 10. 10 is a composite number and it can be factored as 2 × 5. 2 and 5 are prime, and hence we can stop factoring.
• Step 3: As per the criterion, the prime factorization of 320 can also be written as 320 = 2⁶ × 5

Let's see the other possibilities for finding the factors of 320 with the help of the following factor trees.

Method 1:

Method 2:

Pair factors of the number 320 are the two whole numbers that multiply to get the original number. Pair factors could be either positive or negative but not a fraction or a decimal number.

• Positive factors of 320: (1, 320), (2, 160), (4, 80), (5, 64), (8, 40), (10, 32), (16, 20 ), (20, 16), (32, 10), (40, 8), (64, 5), (80, 4), (160, 2), (320, 1)
• Negative factors of 320: (-1, -320), (-2, -160), (-4, -80), (-5, -64), (-8, -40), (-10, -32), (-16, -20 ), (-20, -16), (-32, -10), (-40, -8), (-64, -5), (-80, -4), (-160,-2), (-320, -1)

• 1 is the smallest factor of every number. Hence, 1 is a factor of 320
• 320 is an even number, 2 as one of their factors.
• 320 is a number that ends in 0, hence 1, 2, 5, and 10 are its factors.

• Suzy has to travel 320 miles to reach her home from her uncle's home. There are restaurants at every 12 miles on the way. How many times can she stop in between to have her meals?
• How would Isabella $320 in 6 parts such that each part gets an equal amount?