Q: What are the prime factors of the number 16,968,978?

 A: 2, 3, 13, 127, 571

Why are those the prime factors of the number 16,968,978?

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 16,968,978

16,968,978
Factor Arrows
28,484,489
Factor Arrows
32,828,163
Factor Arrows
3942,721
Factor Arrows
1372,517
Factor Arrows
127571

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, 13, 127, 571

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 13 x 127 x 571 = 16,968,978

This can also be written as 21 x 32 x 131 x 1271 x 5711 = 16,968,978

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


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