Q: What are the prime factors of the number 27,854,368?

 A: 2, 31, 43, 653

Why are those the prime factors of the number 27,854,368?

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 27,854,368

27,854,368
Factor Arrows
213,927,184
Factor Arrows
26,963,592
Factor Arrows
23,481,796
Factor Arrows
21,740,898
Factor Arrows
2870,449
Factor Arrows
3128,079
Factor Arrows
43653

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, 31, 43, 653

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 31 x 43 x 653 = 27,854,368

This can also be written as 25 x 311 x 431 x 6531 = 27,854,368

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


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