Factors of 4200 are integers that can be divided evenly into 4200. It has total 48 factors of which 4200 is the biggest factor and the prime factors of 4200 are 2, 3, 5, 7. The Prime Factorization of 4200 is 2³ × 3¹ × 5² × 7¹.

• All Factors of 4200: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 140, 150, 168, 175, 200, 210, 280, 300, 350, 420, 525, 600, 700, 840, 1050, 1400, 2100 and 4200
• Prime Factors of 4200: 2, 3, 5, 7
• Prime Factorization of 4200: 2³ × 3¹ × 5² × 7¹
• Sum of Factors of 4200: 14880

1.	What Are the Factors of 4200?
2.	Factors of 4200 by Prime Factorization
3.	Factors of 4200 in Pairs
4.	FAQs on Factors of 4200

Factors of 4200 are pairs of those numbers whose products result in 4200. These factors are either prime numbers or composite numbers.

How to Find the Factors of 4200?

To find the factors of 4200, we will have to find the list of numbers that would divide 4200 without leaving any remainder.

• 4200/840 = 5; therefore, 840 is a factor of 4200 and 5 is also a factor of 4200.
• 4200/15 = 280; therefore, 15 is a factor of 4200 and 280 is also a factor of 4200.

Similarly we can find other factors. Hence, the factors of 4200 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 140, 150, 168, 175, 200, 210, 280, 300, 350, 420, 525, 600, 700, 840, 1050, 1400, 2100, 4200.

☛ Also Check:

• Factors of 7 - The factors of 7 are 1, 7
• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 17 - The factors of 17 are 1, 17
• Factors of 31 - The factors of 31 are 1, 31
• Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The number 4200 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 4200. The first step is to divide the number 4200 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 4200 ÷ 2 = 2100
• 2100 ÷ 2 = 1050
• 1050 ÷ 2 = 525

Further dividing 525 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 525 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 4200 can be written as 2³ × 3¹ × 5² × 7¹ where 2, 3, 5, 7 are prime.

Pair factors of 4200 are the pairs of numbers that when multiplied give the product 4200. The factors of 4200 in pairs are:

• 1 × 4200 = (1, 4200)
• 2 × 2100 = (2, 2100)
• 3 × 1400 = (3, 1400)
• 4 × 1050 = (4, 1050)
• 5 × 840 = (5, 840)
• 6 × 700 = (6, 700)
• 7 × 600 = (7, 600)
• 8 × 525 = (8, 525)
• 10 × 420 = (10, 420)
• 12 × 350 = (12, 350)
• 14 × 300 = (14, 300)
• 15 × 280 = (15, 280)
• 20 × 210 = (20, 210)
• 21 × 200 = (21, 200)
• 24 × 175 = (24, 175)
• 25 × 168 = (25, 168)
• 28 × 150 = (28, 150)
• 30 × 140 = (30, 140)
• 35 × 120 = (35, 120)
• 40 × 105 = (40, 105)
• 42 × 100 = (42, 100)
• 50 × 84 = (50, 84)
• 56 × 75 = (56, 75)
• 60 × 70 = (60, 70)

Negative pair factors of 4200 are:

• -1 × -4200 = (-1, -4200)
• -2 × -2100 = (-2, -2100)
• -3 × -1400 = (-3, -1400)
• -4 × -1050 = (-4, -1050)
• -5 × -840 = (-5, -840)
• -6 × -700 = (-6, -700)
• -7 × -600 = (-7, -600)
• -8 × -525 = (-8, -525)
• -10 × -420 = (-10, -420)
• -12 × -350 = (-12, -350)
• -14 × -300 = (-14, -300)
• -15 × -280 = (-15, -280)
• -20 × -210 = (-20, -210)
• -21 × -200 = (-21, -200)
• -24 × -175 = (-24, -175)
• -25 × -168 = (-25, -168)
• -28 × -150 = (-28, -150)
• -30 × -140 = (-30, -140)
• -35 × -120 = (-35, -120)
• -40 × -105 = (-40, -105)
• -42 × -100 = (-42, -100)
• -50 × -84 = (-50, -84)
• -56 × -75 = (-56, -75)
• -60 × -70 = (-60, -70)

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