Lareina understands factors, but sometimes she has trouble finding all the factors of a number. What advice would you give to help her find all the factors of a number? Demonstrate by finding all the factors of 110.
I NEED HELPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!
I'd start with 2.
2 and 55
Now factor 55.
5 and 11
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Finding all the factors of a number can be done through a simple process. Here's how you can help Lareina find all the factors of a number:
1. Start by making a list of all the numbers from 1 to the given number. In this case, since we want to find the factors of 110, the list will be from 1 to 110.
2. Proceed to divide the given number (110) by each number in the list. Keep track of the numbers that evenly divide the given number without leaving a remainder. These are the factors.
Now, let's find all the factors of 110 using this method:
1. Make a list of numbers from 1 to 110: {1, 2, 3, 4, 5, ..., 109, 110}.
2. Starting from 1, divide 110 by each number in the list and check if it gives an integer result (no remainder). If the division is exact, then the number is a factor.
Here are the factors of 110:
Dividing 110 by 1: 110 ÷ 1 = 110 (exact division, so 1 is a factor).
Dividing 110 by 2: 110 ÷ 2 = 55 (not an exact division, so 2 is not a factor).
Dividing 110 by 3: 110 ÷ 3 = 36 R 2 (not an exact division, so 3 is not a factor).
Dividing 110 by 4: 110 ÷ 4 = 27 R 2 (not an exact division, so 4 is not a factor).
Dividing 110 by 5: 110 ÷ 5 = 22 (exact division, so 5 is a factor).
Dividing 110 by 6: 110 ÷ 6 = 18 R 2 (not an exact division, so 6 is not a factor).
Dividing 110 by 7: 110 ÷ 7 = 15 R 5 (not an exact division, so 7 is not a factor).
Dividing 110 by 8: 110 ÷ 8 = 13 R 6 (not an exact division, so 8 is not a factor).
Dividing 110 by 9: 110 ÷ 9 = 12 R 2 (not an exact division, so 9 is not a factor).
Dividing 110 by 10: 110 ÷ 10 = 11 (exact division, so 10 is a factor).
And so on...
Continuing this process until we reach the number 110, we find that the factors of 110 are: 1, 2, 5, 10, 11, 22, 55, and 110.
So, the advice to help Lareina find all the factors of a number is to divide the number by each number in a list from 1 to the given number and keep track of the numbers that give an integer result (no remainder).