Q: What are the prime factors of the number 846,078,100?

 A: 2, 5, 7, 17, 1451

Why are those the prime factors of the number 846,078,100?

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 846,078,100

846,078,100
Factor Arrows
2423,039,050
Factor Arrows
2211,519,525
Factor Arrows
542,303,905
Factor Arrows
58,460,781
Factor Arrows
71,208,683
Factor Arrows
7172,669
Factor Arrows
724,667
Factor Arrows
171,451

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, 5, 7, 17, 1451

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 7 x 7 x 7 x 17 x 1,451 = 846,078,100

This can also be written as 22 x 52 x 73 x 171 x 1,4511 = 846,078,100

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


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