Q: What are the prime factors of the number 46,755,200?

 A: 2, 5, 19, 769

Why are those the prime factors of the number 46,755,200?

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 46,755,200

46,755,200
Factor Arrows
223,377,600
Factor Arrows
211,688,800
Factor Arrows
25,844,400
Factor Arrows
22,922,200
Factor Arrows
21,461,100
Factor Arrows
2730,550
Factor Arrows
2365,275
Factor Arrows
573,055
Factor Arrows
514,611
Factor Arrows
19769

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, 19, 769

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 5 x 5 x 19 x 769 = 46,755,200

This can also be written as 27 x 52 x 191 x 7691 = 46,755,200

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


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