Q: What are the prime factors of the number 1,950,970?

 A: 2, 5, 7, 47, 593

Why are those the prime factors of the number 1,950,970?

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 1,950,970

1,950,970
Factor Arrows
2975,485
Factor Arrows
5195,097
Factor Arrows
727,871
Factor Arrows
47593

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, 5, 7, 47, 593

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 47 x 593 = 1,950,970

This can also be written as 21 x 51 x 71 x 471 x 5931 = 1,950,970

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


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