Q: What are the prime factors of the number 42,951,936?

 A: 2, 3, 55927

Why are those the prime factors of the number 42,951,936?

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 42,951,936

42,951,936
Factor Arrows
221,475,968
Factor Arrows
210,737,984
Factor Arrows
25,368,992
Factor Arrows
22,684,496
Factor Arrows
21,342,248
Factor Arrows
2671,124
Factor Arrows
2335,562
Factor Arrows
2167,781
Factor Arrows
355,927

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, 55927

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 3 x 55,927 = 42,951,936

This can also be written as 28 x 31 x 55,9271 = 42,951,936

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


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