Q: What are the prime factors of the number 305,454,210?

 A: 2, 3, 5, 59, 172573

Why are those the prime factors of the number 305,454,210?

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 305,454,210

305,454,210
Factor Arrows
2152,727,105
Factor Arrows
350,909,035
Factor Arrows
510,181,807
Factor Arrows
59172,573

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, 59, 172573

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 59 x 172,573 = 305,454,210

This can also be written as 21 x 31 x 51 x 591 x 172,5731 = 305,454,210

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


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