Q: What are the prime factors of the number 155,276,172?

 A: 2, 3, 227, 19001

Why are those the prime factors of the number 155,276,172?

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 155,276,172

155,276,172
Factor Arrows
277,638,086
Factor Arrows
238,819,043
Factor Arrows
312,939,681
Factor Arrows
34,313,227
Factor Arrows
22719,001

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, 227, 19001

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 227 x 19,001 = 155,276,172

This can also be written as 22 x 32 x 2271 x 19,0011 = 155,276,172

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


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