Factor pairs of 576 are any two numbers that, when multiplied together, equal 576. The question to ask is “what two numbers multiplied together equal 576?” Every factor can be paired with another factor, and multiplying the two will result in 576.
To find the factor pairs of 576, follow these steps:
Step 1:
Find the smallest prime number that is larger than 1, and is a factor of 576. 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 576 by the smallest prime factor, in this case, 2:
576 ÷ 2 = 288
2 and 288 will make a new factor pair.
Step 3:
Repeat Steps 1 and 2, using 288 as the new focus. Find the smallest prime factor that isn’t 1, and divide 288 by that number. In this case, 2 is the new smallest prime factor:
288 ÷ 2 = 144
Remember that this new factor pair is only for the factors of 288, not 576. So, to finish the factor pair for 576, you’d multiply 2 and 2 before pairing with 144:
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 576:
(1, 576), (2, 288), (3, 192), (4, 144), (6, 96), (8, 72), (9, 64), (12, 48), (16, 36), (18, 32), (24, 24)
So, to list all the factors of 576: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
The negative factors of 576 would be: -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -32, -36, -48, -64, -72, -96, -144, -192, -288, -576