Q: What are the prime factors of the number 532,420,128?

 A: 2, 3, 19, 569

Why are those the prime factors of the number 532,420,128?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 532,420,128

532,420,128
Factor Arrows
2266,210,064
Factor Arrows
2133,105,032
Factor Arrows
266,552,516
Factor Arrows
233,276,258
Factor Arrows
216,638,129
Factor Arrows
35,546,043
Factor Arrows
31,848,681
Factor Arrows
3616,227
Factor Arrows
3205,409
Factor Arrows
1910,811
Factor Arrows
19569

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 19, 569

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 19 x 19 x 569 = 532,420,128

This can also be written as 25 x 34 x 192 x 5691 = 532,420,128

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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