Q: What are the prime factors of the number 350,001,232?

 A: 2, 7, 29, 197, 547

Why are those the prime factors of the number 350,001,232?

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 350,001,232

350,001,232
Factor Arrows
2175,000,616
Factor Arrows
287,500,308
Factor Arrows
243,750,154
Factor Arrows
221,875,077
Factor Arrows
73,125,011
Factor Arrows
29107,759
Factor Arrows
197547

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, 197, 547

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 29 x 197 x 547 = 350,001,232

This can also be written as 24 x 71 x 291 x 1971 x 5471 = 350,001,232

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


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