Write 278 as a product of prime numbers.
Multiply 28x72 using lattice method.
278 = 2*139
139 is a prime number to that is the end
***** 2 ***** 8 ****
1->2 1/4 **** 5/6 ** 7
9->0 0/4 **** 1/6 ** 2
11->1 *** 6
so
2016
I don't understand how you got 2016. I understand how you added to get the 1,9, 11, and 6. But I do not understand where you got the 1->2, 9->0, and 11->1.
To write 278 as a product of prime numbers, we need to find the prime factors of 278.
To start, we can check if 2 is a factor of 278. If it is, we divide 278 by 2 and continue dividing the result by 2 until it is no longer divisible by 2:
278 ÷ 2 = 139
Since 139 is a prime number, we have found the prime factorization of 278:
278 = 2 x 139
Therefore, 278 can be written as the product of the prime numbers 2 and 139.
Now, let's move on to multiplying 28x72 using the lattice method:
To multiply 28 by 72 using the lattice method, we create a grid with two columns and two rows:
| 20 | 8
--------------------
70 | |
--------------------
2 | |
We write 20 in the top left cell, and 8 in the bottom right cell.
Next, we multiply the numbers along the top row and the numbers along the right column:
| 20 | 8
--------------------
70 | 1400 | 560
--------------------
2 | 40 | 16
We get 1400 in the cell diagonally opposite to the numbers we multiplied (20 x 70) and 560 in the other diagonal cell.
Lastly, we add the numbers in the diagonal cells:
1400 + 560 = 1960
Therefore, 28 multiplied by 72 using the lattice method equals 1960.