Q: What are the prime factors of the number 153,430,224?

 A: 2, 3, 127, 25169

Why are those the prime factors of the number 153,430,224?

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 153,430,224

153,430,224
Factor Arrows
276,715,112
Factor Arrows
238,357,556
Factor Arrows
219,178,778
Factor Arrows
29,589,389
Factor Arrows
33,196,463
Factor Arrows
12725,169

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, 127, 25169

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 127 x 25,169 = 153,430,224

This can also be written as 24 x 31 x 1271 x 25,1691 = 153,430,224

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


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