Q: What are the prime factors of the number 37,020,424?

 A: 2, 7, 17, 37, 1051

Why are those the prime factors of the number 37,020,424?

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 37,020,424

37,020,424
Factor Arrows
218,510,212
Factor Arrows
29,255,106
Factor Arrows
24,627,553
Factor Arrows
7661,079
Factor Arrows
1738,887
Factor Arrows
371,051

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, 17, 37, 1051

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 17 x 37 x 1,051 = 37,020,424

This can also be written as 23 x 71 x 171 x 371 x 1,0511 = 37,020,424

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


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