Q: What are the prime factors of the number 20,710,152?

 A: 2, 3, 19, 15139

Why are those the prime factors of the number 20,710,152?

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 20,710,152

20,710,152
Factor Arrows
210,355,076
Factor Arrows
25,177,538
Factor Arrows
22,588,769
Factor Arrows
3862,923
Factor Arrows
3287,641
Factor Arrows
1915,139

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, 19, 15139

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 19 x 15,139 = 20,710,152

This can also be written as 23 x 32 x 191 x 15,1391 = 20,710,152

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


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