Q: What are the prime factors of the number 155,410,332?

 A: 2, 3, 7, 11, 168193

Why are those the prime factors of the number 155,410,332?

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 155,410,332

155,410,332
Factor Arrows
277,705,166
Factor Arrows
238,852,583
Factor Arrows
312,950,861
Factor Arrows
71,850,123
Factor Arrows
11168,193

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, 7, 11, 168193

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 11 x 168,193 = 155,410,332

This can also be written as 22 x 31 x 71 x 111 x 168,1931 = 155,410,332

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


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