Factors of 840 in pair

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Factors of 840 in pair are (1, 840) , (2, 420) , (3, 280) , (4, 210) , (5, 168) , (6, 140) , (7, 120) , (8, 105) , (10, 84) , (12, 70) , (14, 60) , (15, 56) , (20, 42) , (21, 40) , (24, 35) and (28, 30)

How to find factors of a number in pair

Steps to find factors of 840 in pair

Find all the numbers that would divide 840 without leaving any remainder. Starting with the number 1 upto 420 (half of 840). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 840, and read off the answer!

Example: Find factors of 840 in pair

Factor Pair	Pair Factorization
1 and 840	1 x 840 = 840
2 and 420	2 x 420 = 840
3 and 280	3 x 280 = 840
4 and 210	4 x 210 = 840
5 and 168	5 x 168 = 840
6 and 140	6 x 140 = 840
7 and 120	7 x 120 = 840
8 and 105	8 x 105 = 840
10 and 84	10 x 84 = 840
12 and 70	12 x 70 = 840
14 and 60	14 x 60 = 840
15 and 56	15 x 56 = 840
20 and 42	20 x 42 = 840
21 and 40	21 x 40 = 840
24 and 35	24 x 35 = 840
28 and 30	28 x 30 = 840

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 840. They are called negative pair factors.

Hence, the negative pairs of 840 would be ( -1 , -840 ) .

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 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. So, factors of 840 in pair are (1,840), (2,420), (3,280), (4,210), (5,168), (6,140), (7,120), (8,105), (10,84), (12,70), (14,60), (15,56), (20,42), (21,40), (24,35), (28,30).

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. 840 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 840.
Every number is a factor of zero (0), since 840 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, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840 are exact divisors of 840.
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. Each factor divides 840 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, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840 are all less than or equal to 840.

Steps to find Factors of 840

Step 1. Find all the numbers that would divide 840 without leaving any remainder. Starting with the number 1 upto 420 (half of 840). The number 1 and the number itself are always factors of the given number.

840 ÷ 1 : Remainder = 0

840 ÷ 2 : Remainder = 0

840 ÷ 3 : Remainder = 0

840 ÷ 4 : Remainder = 0

840 ÷ 5 : Remainder = 0

840 ÷ 6 : Remainder = 0

840 ÷ 7 : Remainder = 0

840 ÷ 8 : Remainder = 0

840 ÷ 10 : Remainder = 0

840 ÷ 12 : Remainder = 0

840 ÷ 14 : Remainder = 0

840 ÷ 15 : Remainder = 0

840 ÷ 20 : Remainder = 0

840 ÷ 21 : Remainder = 0

840 ÷ 24 : Remainder = 0

840 ÷ 28 : Remainder = 0

840 ÷ 30 : Remainder = 0

840 ÷ 35 : Remainder = 0

840 ÷ 40 : Remainder = 0

840 ÷ 42 : Remainder = 0

840 ÷ 56 : Remainder = 0

840 ÷ 60 : Remainder = 0

840 ÷ 70 : Remainder = 0

840 ÷ 84 : Remainder = 0

840 ÷ 105 : Remainder = 0

840 ÷ 120 : Remainder = 0

840 ÷ 140 : Remainder = 0

840 ÷ 168 : Remainder = 0

840 ÷ 210 : Remainder = 0

840 ÷ 280 : Remainder = 0

840 ÷ 420 : Remainder = 0

840 ÷ 840 : Remainder = 0

Hence, 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, and 840

Frequently Asked Questions

Is 840 a composite number?
Yes 840 is a composite number.
Is 840 a prime number?
No 840 is not a prime number.
What is the mean of factors of 840?
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. therefore mean of factors of 840 is (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) / 32 = 90.00.
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 840 but she is finding it difficult. Can you help her find out?

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. So, factors of 840 in pair are (1,840), (2,420), (3,280), (4,210), (5,168), (6,140), (7,120), (8,105), (10,84), (12,70), (14,60), (15,56), (20,42), (21,40), (24,35), (28,30).

Sammy wants to write all the negative factors of 840 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative 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. Hence, factors of 840 in pair are (-1,-840), (-2,-420), (-3,-280), (-4,-210), (-5,-168), (-6,-140), (-7,-120), (-8,-105), (-10,-84), (-12,-70), (-14,-60), (-15,-56), (-20,-42), (-21,-40), (-24,-35), (-28,-30).

Help Deep in writing the positive factors of 840 in pair and negative factor of 840 in pair.

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. Positive factors of 840 in pair are (1,840), (2,420), (3,280), (4,210), (5,168), (6,140), (7,120), (8,105), (10,84), (12,70), (14,60), (15,56), (20,42), (21,40), (24,35), (28,30). Negative factors of 840 in pair are (-1,-840), (-2,-420), (-3,-280), (-4,-210), (-5,-168), (-6,-140), (-7,-120), (-8,-105), (-10,-84), (-12,-70), (-14,-60), (-15,-56), (-20,-42), (-21,-40), (-24,-35), (-28,-30).

Find the product of all factors of 840.

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. So the product of all factors of 840 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 28 x 30 x 35 x 40 x 42 x 56 x 60 x 70 x 84 x 105 x 120 x 140 x 168 x 210 x 280 x 420 x 840 = 6.144245739270881e+46.

Find the product of all prime factors of 840.

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. Prime factors are 2, 2, 2, 3, 5, 7. So, the product of all prime factors of 840 would be 2 x 2 x 2 x 3 x 5 x 7 = 840.

Can you help Sammy list the factors of 840 and also find the factor pairs?

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.
Factors of 840 in pair are (1,840), (2,420), (3,280), (4,210), (5,168), (6,140), (7,120), (8,105), (10,84), (12,70), (14,60), (15,56), (20,42), (21,40), (24,35), (28,30).

Sammy has 840 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 840 blocks in all possible ways to form a rectangle, we need to calculate factors of 840 in pair. Therefore, factors of 840 in pair are (1,840), (2,420), (3,280), (4,210), (5,168), (6,140), (7,120), (8,105), (10,84), (12,70), (14,60), (15,56), (20,42), (21,40), (24,35), (28,30)