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We note that 504 is a even number, because it ends in ;4; which is an even number.

Hence we divide 504 by '2' which is the lowest Prime number and an even numbers. Keep on dividing by '2' until the answer is no longer even, Then try '3' , then'5' and continue with prime numbers.

Hence again

2)504

2)252

2)126

63 '63' is NOT an even number , so try '3' which is the next prime number.

Hence

3)63

3)21

7)7

=1

Keep dividing by prime number until the system is reduced to '1'.

So all the factors of 504 are 2,2,2,3,3,& 7.

You can combine(multiply) any pair or more of these factors, and they will all be part of the factor tree of 504.

Hence 2 ) 2 x 1)

4, ( 2 x 2)

6 ( 2 x 3)

8 ( 2x2x2)

9 ( 3 x 3 )

12 (2x2x3 = 4 x 3)

14 ( 2 x 7 _

18 ( 2 x 3 x 3 = 2 x 9 )

21 ( 3 x 7 )

24 ( 2 x 2 x 2 x 3 = 8 x 3)

28 ( 2 x 2 x 7 = 4 x 7)

36 ( 2 x 2 x 3 x 4 = 4 x 9 )

56 (21 ( 2 x 2 x 2 x 7 = 8 x 7 )

63 ( 3 x 3 x 7)

72 ( 2 x 2 x 2 x 3 x 3 = 8 x 9 )

The full factor tree of 504 . , with their factors.

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lenpollock

Lvl 17
3w ago

What else can I help you with?