Factor pairs of 1851 are any two numbers that, when multiplied together, equal 1851. The question to ask is “what two numbers multiplied together equal 1851?” Every factor can be paired with another factor, and multiplying the two will result in 1851.
To find the factor pairs of 1851, follow these steps:
Step 1:
Find the smallest prime number that is larger than 1, and is a factor of 1851. 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 3.
Step 2:
Divide 1851 by the smallest prime factor, in this case, 3:
1851 ÷ 3 = 617
3 and 617 will make a new factor pair.
Step 3:
Repeat Steps 1 and 2, using 617 as the new focus. Find the smallest prime factor that isn’t 1, and divide 617 by that number. In this case, 617 is the new smallest prime factor:
617 ÷ 617 = 1
Remember that this new factor pair is only for the factors of 617, not 1851. So, to finish the factor pair for 1851, you’d multiply 3 and 617 before pairing with 1:
3 x 617 = 1851
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 1851:
(1, 1851), (3, 617)
So, to list all the factors of 1851: 1, 3, 617, 1851
The negative factors of 1851 would be: -1, -3, -617, -1851