What is the prime factorization of 1400?
2 Answers
Explanation:
To find the prime factorization of
Lets use these steps I found in here: https://www.wikihow.com/Find-Prime-Factorization Follow along!
Step 1: Understand factorization. Hopefully you do, but just in case I'll explain.
- Factorization: the process of breaking a larger number into smaller numbers (algebraic definition)
Step 2: Know prime numbers. They are basically numbers that can only be factored by 1 and itself. e.g. 5 (
Step 3: Start with the number, which is
Step 4: Start by factoring the number into any two factors.
#1400# :#200xx7#
Step 5: If the factorization continues, start a factorization tree, so it is less vulnerable to mistakes.
-
-tttt^
-
Step 6: Continue factorization.
#1400# - tttt^
#200# #7# - ttt^
#100# #2# - ttt^
#50# #2# - ttt^
#25# #2# - t^
#5# #5#
Step 7: Note any Prime numbers.
#1400# - tttt^
#200# #color(red)7# - ttt^
#100# #color(red)2# - ttt^
#50# #color(red)2# - ttt^
#25# #color(red)2# - t^
#color(red)5# #color(red)5#
Step 8: Finish factorization. I already did this in the
Step 9: Finish by writing the line of prime factors neatly in increasing order.
#color(blue)(1400: 2xx2xx2xx5xx5xx7)#
The prime factors of
Explanation:
The intention of the question is not absolutely clear....
Is it asking which of the factors of
Or
Is it asking for
It will help to write
Divide
The prime factors of
As the product of its prime factors:
