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
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
A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.
There are two different methods that can be used for the prime factorization.
To find the primefactors of 840 using the division method, follow these steps:
So, the prime factorization of 840 is, 840 = 2 x 2 x 2 x 3 x 5 x 7.
We can follow the same procedure using the factor tree of 840 as shown below:
So, the prime factorization of 840 is, 840 = 2 x 2 x 2 x 3 x 5 x 7.
Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 840 would be the two numbers which, when multiplied, give 840 as the result.
The following table represents the calculation of factors of 840 in pairs:
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 ) , ( -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 ) .
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.
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.Prime factors of 840 are 2, 2, 2, 3, 5, 7.
Two numbers that make 840 are 2 and 420.
The greatest prime factor of 840 is 7.
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 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.
First five multiples of 840 are 1680, 2520, 3360, 4200, 5040.
First five multiples of 840 are 1680, 2520, 3360, 4200.
No 840 is not a perfect square.
Two numbers that make 840 are 2 and 420.
Prime factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7 = 23 x 3 x 5 x 7.
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 of 840 are 2, 2, 2, 3, 5, 7
31 factor(s) 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.
Prime factors of 840 are 2, 2, 2, 3, 5, 7.So in exponential form it can be written as 23 x 3 x 5 x 7.
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 there are in total 32 factors.
Positive factors 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. Negative factors 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 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.Even factors of 840 are 2, 4, 6, 8, 10, 12, 14, 20, 24, 28, 30, 40, 42, 56, 60, 70, 84, 120, 140, 168, 210, 280, 420, 840.Hence, product of even factors of 840 is; 2 x 4 x 6 x 8 x 10 x 12 x 14 x 20 x 24 x 28 x 30 x 40 x 42 x 56 x 60 x 70 x 84 x 120 x 140 x 168 x 210 x 280 x 420 x 840 = 5.0548861754276306e+38.