Factor tree of 9600
To find the factor tree of 9600, we start by dividing it by its smallest prime factor, 2:
9600 ÷ 2 = 4800
Now we continue to divide each subsequent quotient by its smallest prime factor until we reach a prime number:
4800 ÷ 2 = 2400
2400 ÷ 2 = 1200
1200 ÷ 2 = 600
600 ÷ 2 = 300
300 ÷ 2 = 150
150 ÷ 2 = 75
75 ÷ 3 = 25
25 ÷ 5 = 5
Now we have reached a prime number, so the factor tree of 9600 can be represented as:
9600
/
2
/
4800
/
2
/
2400
/
2
/
1200
/
2
/
600
/
2
/
300
/
2
/
150
/
2
/
75
/
3
/
25
/
5
Factor tree of 11350
To find the factor tree of 11350, we start by dividing it by its smallest prime factor, which is 2:
11350 ÷ 2 = 5675
Now we continue to divide each subsequent quotient by its smallest prime factor until we reach a prime number:
5675 ÷ 5 = 1135
1135 ÷ 5 = 227
Now we have reached a prime number, so the factor tree of 11350 can be represented as:
11350
/
2
/
5675
/
5
/
1135
/
5
/
227
50400 factor tree
To find the factor tree of 50400, we start by dividing it by its smallest prime factor, which is 2:
50400 ÷ 2 = 25200
Now we continue to divide each subsequent quotient by its smallest prime factor until we reach a prime number:
25200 ÷ 2 = 12600
12600 ÷ 2 = 6300
6300 ÷ 2 = 3150
3150 ÷ 2 = 1575
1575 ÷ 3 = 525
525 ÷ 3 = 175
175 ÷ 5 = 35
35 ÷ 5 = 7
Now we have reached a prime number, so the factor tree of 50400 can be represented as:
50400
/
2
/
25200
/
2
/
12600
/
2
/
6300
/
2
/
3150
/
2
/
1575
/
3
/
525
/
3
/
175
/
5
/
35
/
5
/
7
Find the largest multiple of 25 that is less than 427.
To find the largest multiple of 25 that is less than 427, we need to divide 427 by 25 and find the largest whole number quotient.
When we divide 427 by 25, we get a quotient of 17 and a remainder of 2.
This means that the largest multiple of 25 that is less than 427 is 17 multiplied by 25, which equals 425.
So, the largest multiple of 25 that is less than 427 is 425.