Q: What are the prime factors of the number 155,573,516?

 A: 2, 7, 29, 41, 4673

Why are those the prime factors of the number 155,573,516?

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 155,573,516

155,573,516
Factor Arrows
277,786,758
Factor Arrows
238,893,379
Factor Arrows
75,556,197
Factor Arrows
29191,593
Factor Arrows
414,673

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, 29, 41, 4673

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 29 x 41 x 4,673 = 155,573,516

This can also be written as 22 x 71 x 291 x 411 x 4,6731 = 155,573,516

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


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