Q: What are the prime factors of the number 401,566,304?

 A: 2, 101, 124247

Why are those the prime factors of the number 401,566,304?

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 401,566,304

401,566,304
Factor Arrows
2200,783,152
Factor Arrows
2100,391,576
Factor Arrows
250,195,788
Factor Arrows
225,097,894
Factor Arrows
212,548,947
Factor Arrows
101124,247

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, 101, 124247

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 101 x 124,247 = 401,566,304

This can also be written as 25 x 1011 x 124,2471 = 401,566,304

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


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