Q: What are the prime factors of the number 841,043,784?

 A: 2, 3, 7, 127, 39419

Why are those the prime factors of the number 841,043,784?

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 841,043,784

841,043,784
Factor Arrows
2420,521,892
Factor Arrows
2210,260,946
Factor Arrows
2105,130,473
Factor Arrows
335,043,491
Factor Arrows
75,006,213
Factor Arrows
12739,419

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, 7, 127, 39419

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 127 x 39,419 = 841,043,784

This can also be written as 23 x 31 x 71 x 1271 x 39,4191 = 841,043,784

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


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