hi I need some help trying to get the factors of 120 and 210 can you help me? And i need some help bad in divison can you help with that to?
120 = 12*10
12 = 2*2*3
10 = 2*5
120 = 2*2*2*3*5
2/120 2/210
2/60 3/105
2/30 5/35
3/15 7/7
5/5
2*2*2*2*3*5 2*3*5*7
210 = 7*30
= 7*5*6
= 7*5*3*2
Of course! I can definitely help you with both finding the factors of numbers and with division. Let's start by finding the factors of 120 and 210.
To find the factors of a number, we need to identify all the numbers that divide evenly into that number. One way to do this is to start with the smallest prime number (2) and see if it divides evenly into the given number. If it does, we divide the number by that factor and continue dividing until we can no longer divide evenly.
Let's begin by finding the factors of 120:
1. Start with the smallest prime number, 2. Divide 120 by 2, and we get 60. So, 2 is a factor.
2. Continue dividing 60 by 2, and we get 30. Again, 2 is a factor.
3. Dividing 30 by 2 gives us 15. Once again, 2 is a factor.
4. Now, we try dividing 15 by 2, but it does not divide evenly. So, we move on to the next prime number, 3.
5. Dividing 15 by 3 gives us 5. Therefore, 3 is a factor.
6. Finally, dividing 5 by any number other than 1 or 5 will not give us a whole number. Thus, we can stop here.
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.
Now, let's move on to find the factors of 210:
1. Start with the smallest prime number, 2. Divide 210 by 2, and we get 105. So, 2 is not a factor.
2. Next, we move on to the next prime number, 3. Dividing 210 by 3 gives us 70. Thus, 3 is a factor.
3. Dividing 70 by 3 gives us 23 and some remainder. Hence, 3 is not a factor anymore.
4. Now, let's try 5. Dividing 210 by 5 results in a quotient without a remainder. Therefore, 5 is a factor.
5. Finally, dividing 210 by any number other than 1, 2, 3, and 5 will not give us a whole number. Thus, we can stop here.
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210.
Now, let's move on to division.
Division is the process of splitting one number into equal parts or finding the number of times one number goes into another. I can help you understand division by explaining the steps involved:
1. Start by writing the dividend (the number to be divided) on the left side and the divisor (the number we are dividing by) on the right side.
2. The first step is to divide the largest place value of the dividend by the divisor. Write the quotient above the line and the remainder (if any) on the next line below.
3. Multiply the divisor by the quotient obtained in the previous step and write the product below the corresponding digits of the dividend.
4. Subtract the product obtained in the previous step from the corresponding digits of the dividend.
5. Bring down the next digit (or digits) from the dividend and repeat steps 2-4 until you have brought down all the digits of the dividend.
6. The final result is the quotient obtained by dividing the dividend by the divisor.
Let's work through an example: 210 divided by 5.
Step 1: Write 210 on the left and 5 on the right.
Step 2: Divide 2 (the largest place value) by 5. The quotient is 0 with a remainder of 2.
Step 3: Multiply 5 by 0 and write the product (0) below the 2.
Step 4: Subtract 0 from 2. The new dividend is now 20.
Step 5: Bring down the 0 from 210.
Step 6: Divide 20 by 5. The quotient is 4 without a remainder.
Step 7: Write the quotient 4 above the 0.
Step 8: There are no more digits to bring down, so we stop.
The final result is 210 divided by 5 equals 42.
I hope this helps! Let me know if you have any further questions.