Q: What are the prime factors of the number 245,534,460?

 A: 2, 3, 5, 359, 11399

Why are those the prime factors of the number 245,534,460?

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 245,534,460

245,534,460
Factor Arrows
2122,767,230
Factor Arrows
261,383,615
Factor Arrows
320,461,205
Factor Arrows
54,092,241
Factor Arrows
35911,399

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, 5, 359, 11399

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 359 x 11,399 = 245,534,460

This can also be written as 22 x 31 x 51 x 3591 x 11,3991 = 245,534,460

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


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