Q: What are the prime factors of the number 357,475,176?

 A: 2, 3, 269, 18457

Why are those the prime factors of the number 357,475,176?

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 357,475,176

357,475,176
Factor Arrows
2178,737,588
Factor Arrows
289,368,794
Factor Arrows
244,684,397
Factor Arrows
314,894,799
Factor Arrows
34,964,933
Factor Arrows
26918,457

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, 269, 18457

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 269 x 18,457 = 357,475,176

This can also be written as 23 x 32 x 2691 x 18,4571 = 357,475,176

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


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