Factor pairs of 194 are any two numbers that, when multiplied together, equal 194. The question to ask is “what two numbers multiplied together equal 194?” Every factor can be paired with another factor, and multiplying the two will result in 194.
To find the factor pairs of 194, follow these steps:
Step 1:
Find the smallest prime number that is larger than 1, and is a factor of 194. For reference, the first prime numbers to check are 2, 3, 5, 7, 11, and 13. In this case, the smallest factor that’s a prime number larger than 1 is 2.
Step 2:
Divide 194 by the smallest prime factor, in this case, 2:
194 ÷ 2 = 97
2 and 97 will make a new factor pair.
Step 3:
Repeat Steps 1 and 2, using 97 as the new focus. Find the smallest prime factor that isn’t 1, and divide 97 by that number. In this case, 97 is the new smallest prime factor:
97 ÷ 97 = 1
Remember that this new factor pair is only for the factors of 97, not 194. So, to finish the factor pair for 194, you’d multiply 2 and 97 before pairing with 1:
2 x 97 = 194
Step 4:
Repeat this process until there are no longer any prime factors larger than one to divide by. At the end, you should have the full list of factor pairs.
Here are all the factor pairs for 194:
(1, 194), (2, 97)
So, to list all the factors of 194: 1, 2, 97, 194
The negative factors of 194 would be: -1, -2, -97, -194