Q: What are the prime factors of the number 545,855,780?

 A: 2, 5, 23, 139, 8537

Why are those the prime factors of the number 545,855,780?

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 545,855,780

545,855,780
Factor Arrows
2272,927,890
Factor Arrows
2136,463,945
Factor Arrows
527,292,789
Factor Arrows
231,186,643
Factor Arrows
1398,537

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, 23, 139, 8537

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 23 x 139 x 8,537 = 545,855,780

This can also be written as 22 x 51 x 231 x 1391 x 8,5371 = 545,855,780

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


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