As your math tutor, I’m here to help you break down factor pairs of 5000 step by step!
Factor pairs of 5000 are any two numbers that, when multiplied together, equal 5000. The question to ask is “what two numbers multiplied together equal 5000?” Every factor can be paired with another factor, and multiplying the two will result in 5000.
To find the factor pairs of 5000, follow these steps:
Step 1:
Find the smallest prime number that is larger than 1, and is a factor of 5000. 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 5000 by the smallest prime factor, in this case, 2:
5000 ÷ 2 = 2500
2 and 2500 will make a new factor pair.
Step 3:
Repeat Steps 1 and 2, using 2500 as the new focus. Find the smallest prime factor that isn’t 1, and divide 2500 by that number. In this case, 2 is the new smallest prime factor:
2500 ÷ 2 = 1250
Remember that this new factor pair is only for the factors of 2500, not 5000. So, to finish the factor pair for 5000, you’d multiply 2 and 2 before pairing with 1250:
2 x 2 = 4
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 5000:
(1, 5000), (2, 2500), (4, 1250), (5, 1000), (8, 625), (10, 500), (20, 250), (25, 200), (40, 125), (50, 100)
So, to list all the factors of 5000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000
The negative factors of 5000 would be: -1, -2, -4, -5, -8, -10, -20, -25, -40, -50, -100, -125, -200, -250, -500, -625, -1000, -1250, -2500, -5000
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!