Please help me solve this problem thank you. Use a factor tree or division ladder to express the number 40 as a product of prime factors(note use a lower case x for multiplication. You can also use exponential notation when possible.
Here's a factor tree:
Start with 40. Then break that down to 8 x 5, so draw two
slanted lines, one pointing to the 8 and one pointing to the 5,
like this:
40
/ \
8 x 5
The 5 is prime but the 8 is not. The 5 is at a dead end.
We can't go any further with it. But we can break the 8 down
as 4 x 2, so we draw two slanted lines from the 8, one
pointing to the 4 and one to the 2, like this:
40
/ \
8 x 5
/ \
4 x 2
The 2 is prime but the 4 is not. The 2 is at a dead end.
We can't go any further with it. But we can break the 4 down
as 2 x 2, so we draw two slanted lines from the 4, one
pointing to each of the 2's, like this:
40
/ \
8 x 5
/ \
4 x 2
/ \
2 x 2
Now everything has reached a "dead end".
So the factor tree is complete.
So we write 40 as the product of all the
prime numbers which occur at the "dead ends".
40 = 2 x 2 x 2 x 5 = 23 x 5
We could also have made the factor tree, by starting
with 40 = 10 x 4, this way:
40
/ \
10 x 4
/ \ / \
2 x 5 2 x 2
Then we end up with the same prime factorization
just in a different order:
40 = 2 x 5 x 2 x 2 = 2 x 2 x 2 x 5 = 23 x 5.
Edwin