As your math tutor, I’m here to help you break down factor pairs of 1007 step by step!
Factor pairs of 1007 are any two numbers that, when multiplied together, equal 1007. The question to ask is “what two numbers multiplied together equal 1007?” Every factor can be paired with another factor, and multiplying the two will result in 1007.
To find the factor pairs of 1007, follow these steps:
Step 1:
Find the smallest prime number that is larger than 1, and is a factor of 1007. 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 1007 by the smallest prime factor, in this case, 19:
1007 ÷ 19 = 53
19 and 53 will make a new factor pair.
Step 3:
Repeat Steps 1 and 2, using 53 as the new focus. Find the smallest prime factor that isn’t 1, and divide 53 by that number. In this case, 53 is the new smallest prime factor:
53 ÷ 53 = 1
Remember that this new factor pair is only for the factors of 53, not 1007. So, to finish the factor pair for 1007, you’d multiply 19 and 53 before pairing with 1:
19 x 53 = 1007
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 1007:
(1, 1007), (19, 53)
So, to list all the factors of 1007: 1, 19, 53, 1007
The negative factors of 1007 would be: -1, -19, -53, -1007
Now you’ve got it! A math tutor would always encourage you to practice with different numbers to reinforce your understanding of factor pairs. Try another one!