Q: What are the prime factors of the number 51,634,488?

 A: 2, 3, 67, 163, 197

Why are those the prime factors of the number 51,634,488?

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 51,634,488

51,634,488
Factor Arrows
225,817,244
Factor Arrows
212,908,622
Factor Arrows
26,454,311
Factor Arrows
32,151,437
Factor Arrows
6732,111
Factor Arrows
163197

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, 67, 163, 197

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 67 x 163 x 197 = 51,634,488

This can also be written as 23 x 31 x 671 x 1631 x 1971 = 51,634,488

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


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