Q: What are the prime factors of the number 1,977,400?

 A: 2, 5, 9887

Why are those the prime factors of the number 1,977,400?

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 1,977,400

1,977,400
Factor Arrows
2988,700
Factor Arrows
2494,350
Factor Arrows
2247,175
Factor Arrows
549,435
Factor Arrows
59,887

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, 9887

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 9,887 = 1,977,400

This can also be written as 23 x 52 x 9,8871 = 1,977,400

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


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