Q: What are the prime factors of the number 244,026,162?

 A: 2, 3, 47, 96149

Why are those the prime factors of the number 244,026,162?

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 244,026,162

244,026,162
Factor Arrows
2122,013,081
Factor Arrows
340,671,027
Factor Arrows
313,557,009
Factor Arrows
34,519,003
Factor Arrows
4796,149

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, 47, 96149

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 47 x 96,149 = 244,026,162

This can also be written as 21 x 33 x 471 x 96,1491 = 244,026,162

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


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