Factors of 4200 in pair

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

How to find factors of a number in pair

Steps to find factors of 4200 in pair

Find all the numbers that would divide 4200 without leaving any remainder. Starting with the number 1 upto 2100 (half of 4200). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 4200, and read off the answer!

Example: Find factors of 4200 in pair

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

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 4200. They are called negative pair factors.

Hence, the negative pairs of 4200 would be ( -1 , -4200 ) .

Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- 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. So, factors of 4200 in pair are (1,4200), (2,2100), (3,1400), (4,1050), (5,840), (6,700), (7,600), (8,525), (10,420), (12,350), (14,300), (15,280), (20,210), (21,200), (24,175), (25,168), (28,150), (30,140), (35,120), (40,105), (42,100), (50,84), (56,75), (60,70).

What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

Properties of Factors

Each number is a factor of itself. Eg. 4200 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 4200.
Every number is a factor of zero (0), since 4200 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, 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 are exact divisors of 4200.
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. Each factor divides 4200 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 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 are all less than or equal to 4200.

Steps to find Factors of 4200

Step 1. Find all the numbers that would divide 4200 without leaving any remainder. Starting with the number 1 upto 2100 (half of 4200). The number 1 and the number itself are always factors of the given number.

4200 ÷ 1 : Remainder = 0

4200 ÷ 2 : Remainder = 0

4200 ÷ 3 : Remainder = 0

4200 ÷ 4 : Remainder = 0

4200 ÷ 5 : Remainder = 0

4200 ÷ 6 : Remainder = 0

4200 ÷ 7 : Remainder = 0

4200 ÷ 8 : Remainder = 0

4200 ÷ 10 : Remainder = 0

4200 ÷ 12 : Remainder = 0

4200 ÷ 14 : Remainder = 0

4200 ÷ 15 : Remainder = 0

4200 ÷ 20 : Remainder = 0

4200 ÷ 21 : Remainder = 0

4200 ÷ 24 : Remainder = 0

4200 ÷ 25 : Remainder = 0

4200 ÷ 28 : Remainder = 0

4200 ÷ 30 : Remainder = 0

4200 ÷ 35 : Remainder = 0

4200 ÷ 40 : Remainder = 0

4200 ÷ 42 : Remainder = 0

4200 ÷ 50 : Remainder = 0

4200 ÷ 56 : Remainder = 0

4200 ÷ 60 : Remainder = 0

4200 ÷ 70 : Remainder = 0

4200 ÷ 75 : Remainder = 0

4200 ÷ 84 : Remainder = 0

4200 ÷ 100 : Remainder = 0

4200 ÷ 105 : Remainder = 0

4200 ÷ 120 : Remainder = 0

4200 ÷ 140 : Remainder = 0

4200 ÷ 150 : Remainder = 0

4200 ÷ 168 : Remainder = 0

4200 ÷ 175 : Remainder = 0

4200 ÷ 200 : Remainder = 0

4200 ÷ 210 : Remainder = 0

4200 ÷ 280 : Remainder = 0

4200 ÷ 300 : Remainder = 0

4200 ÷ 350 : Remainder = 0

4200 ÷ 420 : Remainder = 0

4200 ÷ 525 : Remainder = 0

4200 ÷ 600 : Remainder = 0

4200 ÷ 700 : Remainder = 0

4200 ÷ 840 : Remainder = 0

4200 ÷ 1050 : Remainder = 0

4200 ÷ 1400 : Remainder = 0

4200 ÷ 2100 : Remainder = 0

4200 ÷ 4200 : Remainder = 0

Hence, 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, and 4200

Frequently Asked Questions

Is 4200 a composite number?
Yes 4200 is a composite number.
Is 4200 a prime number?
No 4200 is not a prime number.
What is the mean of factors of 4200?
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. therefore mean of factors of 4200 is (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) / 48 = 310.00.
What do you mean by proper divisors?
A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.
What do you mean by improper divisors?
An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Examples of Factors

Ariel has been asked to write all factor pairs of 4200 but she is finding it difficult. Can you help her find out?

Sammy wants to write all the negative factors of 4200 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

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

Help Deep in writing the positive factors of 4200 in pair and negative factor of 4200 in pair.

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

Find the product of all factors of 4200.

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. So the product of all factors of 4200 would be 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 10 x 12 x 14 x 15 x 20 x 21 x 24 x 25 x 28 x 30 x 35 x 40 x 42 x 50 x 56 x 60 x 70 x 75 x 84 x 100 x 105 x 120 x 140 x 150 x 168 x 175 x 200 x 210 x 280 x 300 x 350 x 420 x 525 x 600 x 700 x 840 x 1050 x 1400 x 2100 x 4200 = 9.077849315463514e+86.

Find the product of all prime factors of 4200.

Can you help Sammy list the factors of 4200 and also find the factor pairs?

Sammy has 4200 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 4200 blocks in all possible ways to form a rectangle, we need to calculate factors of 4200 in pair. Therefore, factors of 4200 in pair are (1,4200), (2,2100), (3,1400), (4,1050), (5,840), (6,700), (7,600), (8,525), (10,420), (12,350), (14,300), (15,280), (20,210), (21,200), (24,175), (25,168), (28,150), (30,140), (35,120), (40,105), (42,100), (50,84), (56,75), (60,70)