Q: What are the prime factors of the number 155,306,528?

 A: 2, 13, 31, 12043

Why are those the prime factors of the number 155,306,528?

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 155,306,528

155,306,528
Factor Arrows
277,653,264
Factor Arrows
238,826,632
Factor Arrows
219,413,316
Factor Arrows
29,706,658
Factor Arrows
24,853,329
Factor Arrows
13373,333
Factor Arrows
3112,043

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, 13, 31, 12043

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 13 x 31 x 12,043 = 155,306,528

This can also be written as 25 x 131 x 311 x 12,0431 = 155,306,528

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


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