Q: What are the prime factors of the number 155,345,450?

 A: 2, 5, 13, 23, 10391

Why are those the prime factors of the number 155,345,450?

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 155,345,450

155,345,450
Factor Arrows
277,672,725
Factor Arrows
515,534,545
Factor Arrows
53,106,909
Factor Arrows
13238,993
Factor Arrows
2310,391

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, 5, 13, 23, 10391

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 13 x 23 x 10,391 = 155,345,450

This can also be written as 21 x 52 x 131 x 231 x 10,3911 = 155,345,450

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


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