Q: What are the prime factors of the number 20,152,352?

 A: 2, 11, 57251

Why are those the prime factors of the number 20,152,352?

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 20,152,352

20,152,352
Factor Arrows
210,076,176
Factor Arrows
25,038,088
Factor Arrows
22,519,044
Factor Arrows
21,259,522
Factor Arrows
2629,761
Factor Arrows
1157,251

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, 11, 57251

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 11 x 57,251 = 20,152,352

This can also be written as 25 x 111 x 57,2511 = 20,152,352

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


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