Q: What are the prime factors of the number 455,103,520?

 A: 2, 5, 2844397

Why are those the prime factors of the number 455,103,520?

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 455,103,520

455,103,520
Factor Arrows
2227,551,760
Factor Arrows
2113,775,880
Factor Arrows
256,887,940
Factor Arrows
228,443,970
Factor Arrows
214,221,985
Factor Arrows
52,844,397

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, 2844397

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 2,844,397 = 455,103,520

This can also be written as 25 x 51 x 2,844,3971 = 455,103,520

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


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