Q: What are the prime factors of the number 163,376,370?

 A: 2, 3, 5, 83, 21871

Why are those the prime factors of the number 163,376,370?

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 163,376,370

163,376,370
Factor Arrows
281,688,185
Factor Arrows
327,229,395
Factor Arrows
39,076,465
Factor Arrows
51,815,293
Factor Arrows
8321,871

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, 5, 83, 21871

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 83 x 21,871 = 163,376,370

This can also be written as 21 x 32 x 51 x 831 x 21,8711 = 163,376,370

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


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