QuestionFind the 4-digit ATM code for Mr. Nolan using the prime factors of 84 listed in order.
Studdy Solution
STEP 1
Assumptions1. The ATM code is a4-digit number.
. The digits of the code are the prime factors of84.
3. The prime factors are listed from least to greatest.
STEP 2
First, we need to find the prime factors of84. Prime factors are the prime numbers that divide a number exactly.
STEP 3
We start by dividing84 by the smallest prime number, which is2. If the number is divisible, we write down the prime number and divide the result again by the same prime number. We continue this process until the number is no longer divisible by the prime number. Then we move to the next smallest prime number.
STEP 4
Divide84 by2.
STEP 5
Divide42 by2.
STEP 6
21 is not divisible by2, so we move to the next smallest prime number, which is3. Divide21 by3.
STEP 7
7 is a prime number itself, so we stop here. The prime factors of84 are2,2,3, and7.
STEP 8
Now that we have the prime factors, we can list them from least to greatest to form the ATM code.
STEP 9
Combine the digits to form the4-digit ATM code.
Mr. Nolan's ATM code is2237.
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