Q: What are the prime factors of the number 155,863,812?

 A: 2, 3, 13, 229, 4363

Why are those the prime factors of the number 155,863,812?

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 155,863,812

155,863,812
Factor Arrows
277,931,906
Factor Arrows
238,965,953
Factor Arrows
312,988,651
Factor Arrows
13999,127
Factor Arrows
2294,363

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, 13, 229, 4363

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 229 x 4,363 = 155,863,812

This can also be written as 22 x 31 x 131 x 2291 x 4,3631 = 155,863,812

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


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