Math Snap

STEP 1

Assumptions1. The ATM code is a4-digit number. The digits of the code are the prime factors of843. 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 multiply together to give the original number.

STEP 3

Start by dividing84 by the smallest prime number, which is2. If the result is a whole number, then2 is a prime factor.
$$84 /2 =42$$

STEP 4

Since42 is a whole number,2 is a prime factor of84. Now we repeat the process with42.
$$42 /2 =21$$

STEP 5

Again, since21 is a whole number,2 is a prime factor of84. Now we repeat the process with21.

STEP 6

21 is not divisible by2, so we try the next prime number, which is3.
$$21 /3 =$$

STEP 7

Since7 is a whole number,3 is a prime factor of84. Now we repeat the process with7.

STEP 8

7 is a prime number itself, so we have found all the prime factors of84.

STEP 9

List the prime factors from least to greatest.
$$2,2,3,7$$

The4-digit code for Mr. Nolan's ATM card is the prime factors of84 listed from least to greatest.
$$Code =2237$$Mr. Nolan's ATM card code is2237.