Q: What are the prime factors of the number 621,042,880?

 A: 2, 5, 1940759

Why are those the prime factors of the number 621,042,880?

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 621,042,880

621,042,880
Factor Arrows
2310,521,440
Factor Arrows
2155,260,720
Factor Arrows
277,630,360
Factor Arrows
238,815,180
Factor Arrows
219,407,590
Factor Arrows
29,703,795
Factor Arrows
51,940,759

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, 5, 1940759

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 1,940,759 = 621,042,880

This can also be written as 26 x 51 x 1,940,7591 = 621,042,880

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


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