### Video Transcript

Write 56 as a product of prime
factors.

To answer this question, we need to
draw a factor tree. We’ll start by thinking of any pair
of factors of 56. 56 is equal to two multiplied by
28. You could use any other pair of
factors of 56 at this point, for example, four and 14. Two is a prime number. So we’ll circle it and this branch
of the factor tree stops here.

28 isn’t a prime number. So we need to continue this branch
of the factor tree. We think of a pair of factors of
28. 28 is equal to four multiplied by
seven. And as seven is a prime number, we
circle it and this branch of the factor tree stops here.

Four, however, isn’t a prime
number. So we need to continue this branch
of the factor tree and break it down into the product of two and two, which are
prime numbers. We’ve now found all of the prime
factors of 56. So we can write 56 as a product:
two multiplied by two multiplied by two multiplied by seven. We can express this product in
index form as two multiplied by two multiplied by two can be written as two
cubed.

As a product of prime factors, 56
is equal to two cubed multiplied by seven.