How do you divie 4224 by 4
To divide 4224 by 4, you simply perform the following arithmetic operation:
4224 ÷ 4 = 1056
Therefore, 4224 divided by 4 is equal to 1056.
Find the square root of 8836 using
Long division method
To find the square root of 8836 using the long division method, follow these steps:
Step 1: Group the digits of the number in pairs starting from the right. If the number of digits is odd, then add a 0 to the leftmost digit to make it even. In this case, we have:
88 | 36
Step 2: Find the largest perfect square less than or equal to the leftmost group (88). The closest perfect square less than or equal to 88 is 81 (9 x 9).
Step 3: Write the square root of the perfect square found in step 2 (9) as the first digit of the quotient.
9 | 88 36
Step 4: Bring down the next pair of digits (36) next to the remainder.
9 | 88 36
--
81
Step 5: Double the first digit of the quotient (which is 9) and write it next to the previous remainder to form a test divisor. In this case, the test divisor is 18.
9 | 88 36
--
81
--
73
Step 6: Find the largest digit n such that when the test divisor (18n) is subtracted from the current remainder (73), the difference is not negative. In this case, n is 4 since 18 x 4 = 72 and 73 - 72 = 1.
9 | 88 36
--
81
--
73
-72
---
1
Step 7: Write the digit n (which is 4) as the next digit in the quotient.
9 4 | 88 36
--
81
--
73
-72
---
1
Step 8: Repeat steps 5 to 7 with the new remainder (1) and the next pair of digits (00) until all the digits have been processed. In this case, we add a decimal point at the end of the quotient and a 0 after the dividend to process the next pair of digits.
9 4 | 88 36 00
--
81
--
73
-72
---
1
0
---
10
9
--
16
16
---
0
Step 9: The final quotient is 94, which is the square root of 8836.
Therefore, the square root of 8836 using the long division method is 94.
Find the square root of 8836 using factorisation
To find the square root of 8836 using factorisation, we can write 8836 as a product of its prime factors:
8836 = 2^2 × 19^2
Now we can take the square root of each factor and simplify:
√(8836) = √(2^2) × √(19^2)
= 2 × 19
= 38
Therefore, the square root of 8836 using factorisation is 38.
Express 8836 as a productof its least prime factors
To express 8836 as a product of its least prime factors, we can use the process of prime factorisation.
First, we divide 8836 by its smallest prime factor, which is 2:
8836 ÷ 2 = 4418
2 is a prime factor of 8836.
Next, we divide 4418 by its smallest prime factor, which is also 2:
4418 ÷ 2 = 2209
2 is not a prime factor of 2209, but the next smallest prime factor is 3, which is greater than the square root of 2209. So we divide 2209 by 47, which is the next smallest prime factor:
2209 ÷ 47 = 47
47 is a prime factor of 2209.
Therefore, we have:
8836 = 2 × 2 × 47 × 47
So the least prime factors of 8836 are 2 and 47.
Express 44100 as a product of its least prime factors
To divide 4224 by 4, you can follow these steps:
1. Start by dividing the first digit of the dividend (4) by the divisor (4). The result is 1 with no remainder.
2. Bring down the next digit of the dividend (2) and place it next to the result from the previous step. So far, the quotient is 1.
3. Divide the new two-digit number (42) by the divisor (4). The result is 10 with no remainder.
4. Bring down the next digit of the dividend (2) and place it next to the previous result. The current quotient is 10.
5. Divide the new two-digit number (22) by the divisor (4). The result is 5 with no remainder.
6. Bring down the next digit of the dividend (4) and place it next to the previous result. The quotient is currently 105.
7. Divide the new two-digit number (54) by the divisor (4). The result is 13 with a remainder of 2.
8. Finally, bring down the last digit of the dividend (4) and place it next to the previous result. The final quotient is 1053 with a remainder of 2.
So, 4224 divided by 4 is equal to 1053 with a remainder of 2.
To express 44100 as a product of its least prime factors, we can use the process of prime factorisation.
First, we divide 44100 by its smallest prime factor, which is 2:
44100 ÷ 2 = 22050
2 is not a prime factor of 22050, but the next smallest prime factor is 3. So we divide 22050 by 3:
22050 ÷ 3 = 7350
3 is a prime factor of 44100.
Next, we divide 7350 by its smallest prime factor, which is 3:
7350 ÷ 3 = 2450
3 is not a prime factor of 2450, but the next smallest prime factor is 5. So we divide 2450 by 5:
2450 ÷ 5 = 490
5 is a prime factor of 44100.
Next, we divide 490 by its smallest prime factor, which is 2:
490 ÷ 2 = 245
2 is not a prime factor of 245, but the next smallest prime factor is 5. So we divide 245 by 5:
245 ÷ 5 = 49
5 is not a prime factor of 49, but the next smallest prime factor is 7. So we divide 49 by 7:
49 ÷ 7 = 7
7 is a prime factor of 44100.
Therefore, we have:
44100 = 2 × 2 × 3 × 5 × 5 × 7 × 7
So the least prime factors of 44100 are 2, 3, 5, and 7.