What are the factors of 35420?

Answer 1

Start with the obvious (10):

6023507490 = 602350749*5*2

6+2+3+5+7+4+9=36

3+6=9 (means that nine is a factor of this number)

602350749= 66927861*3*3

6+6+9+2+7+8+6+1=45

4+5=9 (means nine is a factor of this number)

66927861=7436429*3*3

Now the hard part (trial and error primes):

We know that it's none of the first four prime numbers (1,2,3,5), because it doesn't follow the rules (ignore 1, isn't an even number, digits don't add up to a multiple of 3, and doesn't end in a five or a zero respectively).

Move onto the next (7):

7436429=1062347*7

1062347/7=non whole number

Move onto next (11):

1062347=96577*11

96577/11=non whole number

Move onto next (13):

96577=7429*13

7429/13=non whole number

Move onto next (17):

7429=437*17

437/17=non whole number

Move onto next (19)

437=23*19

23 is a Prime number

Gather factors

2*3*3*3*3*5*11*13*17*19*23

Answer 2

The factors of 35,420 are: 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 23, 28, 35, 44, 46, 55, 70, 77, 92, 110, 115, 140, 154, 161, 220, 230, 253, 308, 322, 385, 460, 506, 644, 770, 805, 1012, 1265, 1540, 1610, 1771, 2530, 3220, 3542, 5060, 7084, 8855, 17710, and 35420.

Answer 3

492570 = 2*3*3*5*13*421.