Factors of 840 are integers that can be divided evenly into 840. There are overall 32 factors of 840 among which 840 is the biggest factor and its prime factors are 2, 3, 5, 7. The Prime Factorization of 840 is 2³ × 3¹ × 5¹ × 7¹.

• All Factors of 840: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420 and 840
• Prime Factors of 840: 2, 3, 5, 7
• Prime Factorization of 840: 2³ × 3¹ × 5¹ × 7¹
• Sum of Factors of 840: 2880

1.	What Are the Factors of 840?
2.	Factors of 840 by Prime Factorization
3.	Factors of 840 in Pairs
4.	FAQs on Factors of 840

Factors of 840 are pairs of those numbers whose products result in 840. These factors are either prime numbers or composite numbers.

How to Find the Factors of 840?

To find the factors of 840, we will have to find the list of numbers that would divide 840 without leaving any remainder.

• 840/280 = 3; therefore, 280 is a factor of 840 and 3 is also a factor of 840.
• 840/70 = 12; therefore, 70 is a factor of 840 and 12 is also a factor of 840.

Similarly we can find other factors. Hence, the factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840.

☛ Also Check:

• Factors of 41 - The factors of 41 are 1, 41
• Factors of 23 - The factors of 23 are 1, 23
• Factors of 51 - The factors of 51 are 1, 3, 17, 51
• Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• Factors of 33 - The factors of 33 are 1, 3, 11, 33

The number 840 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 840. The first step is to divide the number 840 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 840 ÷ 2 = 420
• 420 ÷ 2 = 210
• 210 ÷ 2 = 105

Further dividing 105 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 105 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 840 can be written as 2³ × 3¹ × 5¹ × 7¹ where 2, 3, 5, 7 are prime.

Pair factors of 840 are the pairs of numbers that when multiplied give the product 840. The factors of 840 in pairs are:

• 1 × 840 = (1, 840)
• 2 × 420 = (2, 420)
• 3 × 280 = (3, 280)
• 4 × 210 = (4, 210)
• 5 × 168 = (5, 168)
• 6 × 140 = (6, 140)
• 7 × 120 = (7, 120)
• 8 × 105 = (8, 105)
• 10 × 84 = (10, 84)
• 12 × 70 = (12, 70)
• 14 × 60 = (14, 60)
• 15 × 56 = (15, 56)
• 20 × 42 = (20, 42)
• 21 × 40 = (21, 40)
• 24 × 35 = (24, 35)
• 28 × 30 = (28, 30)

Negative pair factors of 840 are:

• -1 × -840 = (-1, -840)
• -2 × -420 = (-2, -420)
• -3 × -280 = (-3, -280)
• -4 × -210 = (-4, -210)
• -5 × -168 = (-5, -168)
• -6 × -140 = (-6, -140)
• -7 × -120 = (-7, -120)
• -8 × -105 = (-8, -105)
• -10 × -84 = (-10, -84)
• -12 × -70 = (-12, -70)
• -14 × -60 = (-14, -60)
• -15 × -56 = (-15, -56)
• -20 × -42 = (-20, -42)
• -21 × -40 = (-21, -40)
• -24 × -35 = (-24, -35)
• -28 × -30 = (-28, -30)

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