Q: What are the prime factors of the number 50,337,432?

 A: 2, 3, 23, 113, 269

Why are those the prime factors of the number 50,337,432?

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 50,337,432

50,337,432
Factor Arrows
225,168,716
Factor Arrows
212,584,358
Factor Arrows
26,292,179
Factor Arrows
32,097,393
Factor Arrows
3699,131
Factor Arrows
2330,397
Factor Arrows
113269

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, 23, 113, 269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 23 x 113 x 269 = 50,337,432

This can also be written as 23 x 32 x 231 x 1131 x 2691 = 50,337,432

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


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