Q: What are the prime factors of the number 105,420,304?

 A: 2, 11, 571, 1049

Why are those the prime factors of the number 105,420,304?

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 105,420,304

105,420,304
Factor Arrows
252,710,152
Factor Arrows
226,355,076
Factor Arrows
213,177,538
Factor Arrows
26,588,769
Factor Arrows
11598,979
Factor Arrows
5711,049

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, 11, 571, 1049

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 571 x 1,049 = 105,420,304

This can also be written as 24 x 111 x 5711 x 1,0491 = 105,420,304

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


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