Q: What are the prime factors of the number 6,651,904?

 A: 2, 7, 29

Why are those the prime factors of the number 6,651,904?

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 6,651,904

6,651,904
Factor Arrows
23,325,952
Factor Arrows
21,662,976
Factor Arrows
2831,488
Factor Arrows
2415,744
Factor Arrows
2207,872
Factor Arrows
2103,936
Factor Arrows
251,968
Factor Arrows
225,984
Factor Arrows
212,992
Factor Arrows
26,496
Factor Arrows
23,248
Factor Arrows
21,624
Factor Arrows
2812
Factor Arrows
2406
Factor Arrows
2203
Factor Arrows
729

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, 7, 29

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 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 29 = 6,651,904

This can also be written as 215 x 71 x 291 = 6,651,904

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


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