Q: What are the prime factors of the number 254,042,152?

 A: 2, 7, 13, 17, 1579

Why are those the prime factors of the number 254,042,152?

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 254,042,152

254,042,152
Factor Arrows
2127,021,076
Factor Arrows
263,510,538
Factor Arrows
231,755,269
Factor Arrows
74,536,467
Factor Arrows
13348,959
Factor Arrows
1326,843
Factor Arrows
171,579

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, 7, 13, 17, 1579

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 13 x 13 x 17 x 1,579 = 254,042,152

This can also be written as 23 x 71 x 132 x 171 x 1,5791 = 254,042,152

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


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