Factor pairs of 551 are any two numbers that, when multiplied together, equal 551. The question to ask is “what two numbers multiplied together equal 551?” Every factor can be paired with another factor, and multiplying the two will result in 551.
To find the factor pairs of 551, follow these steps:
Step 1:
Find the smallest prime number that is larger than 1, and is a factor of 551. 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 19.
Step 2:
Divide 551 by the smallest prime factor, in this case, 19:
551 ÷ 19 = 29
19 and 29 will make a new factor pair.
Step 3:
Repeat Steps 1 and 2, using 29 as the new focus. Find the smallest prime factor that isn’t 1, and divide 29 by that number. In this case, 29 is the new smallest prime factor:
29 ÷ 29 = 1
Remember that this new factor pair is only for the factors of 29, not 551. So, to finish the factor pair for 551, you’d multiply 19 and 29 before pairing with 1:
19 x 29 = 551
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 551:
(1, 551), (19, 29)
So, to list all the factors of 551: 1, 19, 29, 551
The negative factors of 551 would be: -1, -19, -29, -551