What it the prime factor of 840?

Answer 1

Prime factors are 2, 2, 2, 3, 5, 7

Other factors are combinations of the primes, i.e.

2 x 2 = 4

2 x 3 = 6

2 x 2 x 2 = 8

2 x 5 = 10

2 x 2 x 3 = 12

2 x 7 = 14

3 x 5 = 15

2 x 2 x 5 = 20

3 x 7 = 21

2 x 2 x 2 x 3 = 24

2 x 2 x 7 = 28

2 x 3 x 5 = 30

5 x 7 = 35

2 x 2 x 2 x 5 = 40

2 x 3 x 7 = 42

2 x 2 x 2 x 7 = 56

2 x 2 x 3 x 5 = 60

2 x 5 x 7 = 70

2 x 2 x 3 x 7 = 84

3 x 5 x 7 = 105

2 x 2 x 2 x 3 x 5 = 120

2 x 2 x 5 x 7 = 140

2 x 2 x 2 x 3 x 7 = 168

2 x 3 x 5 x 7 = 210

2 x 2 x 2 x 5 x 7 = 280

2 x 2 x 3 x 5 x 7 = 420

Answer 2

2 x 2 x 210

4 x 2 x 105

8 x 3 x 35

24 x 5 x 7

56 x 3 x 5

60 x 2 x 7

6 x 10 x 14

3 x 10 x 28

5 x 21 x 8

7 x 10 x 12

10 x 21 x 4

and many more

Answer 3

To find the factors of 840, divide 840 by all numbers less than the square root of 840 that do not leave a remainder. This process gives factor pairs consisting of the divisor and the quotient.

840/1 = 840; factor pair is 1 and 840

840/2 = 420; factor pair is 2 and 420

840/3 = 280; factor pair is 3 and 280

840/4 = 210; factor pair is 4 and 210

840/5 = 168; factor pair is 5 and 168

840/6 = 140; factor pair is 6 and 140

840/7 = 120; factor pair is 7 and 120

840/8 = 105; factor pair is 8 and 105

840/10 = 84; factor pair is 10 and 84

840/12 = 70; factor pair is 12 and 70

840/14 = 60; factor pair is 14 and 60

840/15 = 56; factor pair is 15 and 56

840/20 = 42; factor pair is 20 and 42

840/21 = 40; factor pair is 21 and 40

840/24 = 35; factor pair is 24 and 35

840/28 = 30; factor pair is 28 and 30

The factor pairs can then be arranged in ascending numerical order.

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, and 840.

Answer 4

5 x 7 x 24

3 x 7 x 40

4 x 7 x 30

Answer 5

(1, 840)

(2, 420)

(3, 280)

(4, 210)

(5, 168)

(6, 140)

(7, 120)

(8, 105)

Answer 6

2 x 2 x 2 x 3 x 5 x 7 = 840