Q: What are the prime factors of the number 53,831,936?

 A: 2, 439, 479

Why are those the prime factors of the number 53,831,936?

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 53,831,936

53,831,936
Factor Arrows
226,915,968
Factor Arrows
213,457,984
Factor Arrows
26,728,992
Factor Arrows
23,364,496
Factor Arrows
21,682,248
Factor Arrows
2841,124
Factor Arrows
2420,562
Factor Arrows
2210,281
Factor Arrows
439479

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, 439, 479

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 439 x 479 = 53,831,936

This can also be written as 28 x 4391 x 4791 = 53,831,936

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


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