Factor pairs of 899 are any two numbers that, when multiplied together, equal 899. The question to ask is “what two numbers multiplied together equal 899?” Every factor can be paired with another factor, and multiplying the two will result in 899.
To find the factor pairs of 899, follow these steps:
Step 1:
Find the smallest prime number that is larger than 1, and is a factor of 899. 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 29.
Step 2:
Divide 899 by the smallest prime factor, in this case, 29:
899 ÷ 29 = 31
29 and 31 will make a new factor pair.
Step 3:
Repeat Steps 1 and 2, using 31 as the new focus. Find the smallest prime factor that isn’t 1, and divide 31 by that number. In this case, 31 is the new smallest prime factor:
31 ÷ 31 = 1
Remember that this new factor pair is only for the factors of 31, not 899. So, to finish the factor pair for 899, you’d multiply 29 and 31 before pairing with 1:
29 x 31 = 899
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 899:
(1, 899), (29, 31)
So, to list all the factors of 899: 1, 29, 31, 899
The negative factors of 899 would be: -1, -29, -31, -899