Q: What are the prime factors of the number 105,145,440?

 A: 2, 3, 5, 219053

Why are those the prime factors of the number 105,145,440?

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 105,145,440

105,145,440
Factor Arrows
252,572,720
Factor Arrows
226,286,360
Factor Arrows
213,143,180
Factor Arrows
26,571,590
Factor Arrows
23,285,795
Factor Arrows
31,095,265
Factor Arrows
5219,053

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, 219053

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 219,053 = 105,145,440

This can also be written as 25 x 31 x 51 x 219,0531 = 105,145,440

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


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