Q: What are the prime factors of the number 16,028,376?

 A: 2, 3, 7, 13, 41, 179

Why are those the prime factors of the number 16,028,376?

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 16,028,376

16,028,376
Factor Arrows
28,014,188
Factor Arrows
24,007,094
Factor Arrows
22,003,547
Factor Arrows
3667,849
Factor Arrows
795,407
Factor Arrows
137,339
Factor Arrows
41179

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, 13, 41, 179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 13 x 41 x 179 = 16,028,376

This can also be written as 23 x 31 x 71 x 131 x 411 x 1791 = 16,028,376

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


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