Q: What are the prime factors of the number 1,937,752?

 A: 2, 43, 131

Why are those the prime factors of the number 1,937,752?

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 1,937,752

1,937,752
Factor Arrows
2968,876
Factor Arrows
2484,438
Factor Arrows
2242,219
Factor Arrows
435,633
Factor Arrows
43131

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, 43, 131

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 43 x 43 x 131 = 1,937,752

This can also be written as 23 x 432 x 1311 = 1,937,752

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


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