Q: What are the prime factors of the number 20,013,056?

 A: 2, 7, 349

Why are those the prime factors of the number 20,013,056?

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 20,013,056

20,013,056
Factor Arrows
210,006,528
Factor Arrows
25,003,264
Factor Arrows
22,501,632
Factor Arrows
21,250,816
Factor Arrows
2625,408
Factor Arrows
2312,704
Factor Arrows
2156,352
Factor Arrows
278,176
Factor Arrows
239,088
Factor Arrows
219,544
Factor Arrows
29,772
Factor Arrows
24,886
Factor Arrows
22,443
Factor Arrows
7349

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, 349

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 7 x 349 = 20,013,056

This can also be written as 213 x 71 x 3491 = 20,013,056

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


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