Q: What are the prime factors of the number 13,735,376?

 A: 2, 71, 107, 113

Why are those the prime factors of the number 13,735,376?

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 13,735,376

13,735,376
Factor Arrows
26,867,688
Factor Arrows
23,433,844
Factor Arrows
21,716,922
Factor Arrows
2858,461
Factor Arrows
7112,091
Factor Arrows
107113

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, 71, 107, 113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 71 x 107 x 113 = 13,735,376

This can also be written as 24 x 711 x 1071 x 1131 = 13,735,376

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


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